Available online at I-SEEC Proceeding - Science and Engineering (2013)
|
|
- Maximilian Douglas
- 5 years ago
- Views:
Transcription
1 Available online a I-SEEC 01 Proceeding - Science and Engineering (013) Proceeding Science and Engineering Science and Engineering Symposium 4 h Inernaional Science, Social Science, Engineering and Energy Conference 01 Aniferromagneic coupling in ferromagneic/ferrimagneic and ferromagneic/aniferromagneic hin films N. Chaidaungsri a,*, A. Kaewrawang a a Deparmen of Elecrical Engineering, Faculy of Engineering, Khon Kaen Universiy, Khon Kaen 4000, Thailand Absrac Nowadays, magneic coupling is wildly used in magneic hin films, e.g. he inerface in a reading sensor of magneic recording head. In his paper, we presen he aniferromagneic coupling effecs of bilayer hin films in wo cases: (i) ferromagneic/ferrimagneic and (ii) ferromagneic/aniferromagneic. In he firs case, he Objec Oriened MicroMagneic Framework (OOMMF) was used o simulae he micromagneic srucure. According o he resuls, he magneic propery of Ni/TbFeCo bilayer shows he negaive coerciviy because of srong aniferromagneic coupling. In he second case, Soner- Wohlfarh model was used in he modelling of ferromagneic/aniferromagneic layers. The resuls sugges ha he posiive exchange bias is conribued by he weak aniferromagneic coupling. In conclusion, he resuls lead o developmen of magneic hin films in fuure read head echnology. 013 The Auhors. Published by Kasem Bundi Universiy. Selecion and/or peer-review under responsibiliy of Faculy of Science and Technology, Kasem Bundi Universiy, Bangkok. Keywords: Aniferromagneic coupling; Negaive coerciviy; Posiive exchange bias 1. Inroducion Magneic coupling a inerface of magneic hin film mulilayer is used o improve magneic propery for specific applicaions. The propery is unlike in he case of a convenional magneic maerial. Magneic coupling has wo ypes - ferromagneic coupling and aniferromagneic coupling. They are widely applied for echnological applicaions, such as gian magneoresisance (GMR) using aniferromagneic coupling a inerface of he magneic hin film mulilayer in order o increase areal densiy from 1-5 Gb/in up o Gb/in [1]. Aniferromagneically coupled (AFC) media is helped o mainain hermal sabiliy even for lower values of M r δ []. A nearly single-domain sae wih improved exchange and anisoropy fields, and high hermal sabiliy have been achieved on synheic aniferromagneic coupled films (SAF) [3]. In addiion, he magneic coupling beween hard/sof magneic layers in exchange coupled composie media is used o reduce swiching field [4]. * Corresponding auhor. address: nuapon.c@kkumail.com
2 47 N. Chaidaungsri and A. Kaewrawang / Proceeding - Science and Engineering (013) Nowadays, many research groups have been focused on he magneic coupling in magneic hin films. Shan e al. [5] found he negaive exchange bias of ferromagneic/aniferromagneic bilayer because of weak ferromagneic coupling. Furhermore, Liu e al. sudied he negaive coerciviy of ferromagneic/ferrimagneic/ferromagneic rilayer because of srong aniferromagneic coupling [6]. Therefore, he magneic coupling is very imporan o develop he magneic propery of magneic hin films. For above reasons, magneic coupling is paricularly ineresing o sudy. Such properies make he bilayer an ineresing candidae for echnological magneic applicaions. The main propose of his paper focuses on he effec of aniferromagneic coupling beween inerfaces of bilayer magneic hin films. In he presen work, modeling conribuions have been made in wo areas: (i) Objec Oriened MicroMagneic Framework (OOMMF) simulaion for ferromagneic/ferrimagneic layers and (ii) analyical mehod calculaion for ferromagneic/ aniferromagneic layers. This paper is divided ino 4 secions. Secion describes abou modeling of magneic hin film srucures. Secion 3 is he resuls and discussions for ferromagneic/ferrimagneic and ferromagneic/aniferromagneic bilayer hin films. Finally, secion 4 is conclusion of his work. Nomenclaure A Ferromagneic maerial Aniferromagneic maerial M, M A The magneizaion of ferromagneic and aniferromagneic maerials, respecively H H c Applied exernal field Coerciviy H The posiive exchange bias field ex J K 1 A M s Magneic coupling consan Magneic anisoropy consan Exchange siffness consan Sauraion magneizaion The hickness of layer β The angles of he M α The angles of he M A wih respec o he easy axis wih respec o he easy axis θ E B The angles of he H wih respec o he easy axis Energy barrier heigh
3 N. Chaidaungsri and A. Kaewrawang / Proceeding - Science and Engineering (013) Modeling of Magneic Thin Film Srucures.1 Ferromagneic/Ferrimagneic srucure Fig. 1. Srucure of Ni (16 nm)/tbfeco (0 nm) hin film OOMMF [7] was used o analyze aniferromagneic coupling beween ferromagneic/ ferromagneic layers. I is widely used o analyze he hree dimensional micromagneic simulaions based on LLG equaion and calculaed by using finie differen ime domain. The magneic maerials are Ni (sof ferromagneic) and TbFeCo (hard ferrimagneic). The srucure has dimension of nm 3 as shown in Fig. 1. The magneic parameers of Ni and TbFeCo are in Table 1. Table 1. Magneic parameers of Ni and TbFeCo [6] Magneic maerial K 1 (MJ/m 3 ) A (pj/m) M s (ka/m) Ni TbFeCo Ferromagneic/Aniferromagneic srucure Fig.. (a) Schemaic of coupled ferromagneic/aniferromagneic hin film; (b) configuraion of magneizaion, M, M A and applied field, H, wih respec o easy axis [5]
4 474 N. Chaidaungsri and A. Kaewrawang / Proceeding - Science and Engineering (013) The ferromagneic/aniferromagneic layers model has been esablished based on he Soner Wohlfarh model [8] o analyze he effecs of exchange-bias coupling and he applied field. Analyical soluions indicaed he correlaion beween he magneic and srucural properies of he bilayer hin films have been derived. These soluions are useful for undersanding he srucural and magneic properies of exchange bias. 3. Resuls and Discussions 3.1 Ferromagneic/Ferrimagneic layers Fig. 3 (a) shows he hyseresis loop for bilayer of Ni/TbFeCo. The exchange siffness consan is abou -18 pj/m, where - means aniferromagnic coupling. I suggess ha increasing of aniferromagneic coupling a inerface causes he negaive coerciviy. Boh he magneizaion of Ni and TbFeCo layer will saurae wih he applied field higher han 0 koe. A reducing he applied field, he magneizaion of Ni will be roaed o he reversed direcion wih he applied field due o he aniferromagneic coupling in he inerface while he TbFeCo will be no roaed. As he magneic momen of Ni is larger han he magneic momen of TbFeCo, he ne magneizaion of he bilayer ends o be negaive. I is called negaive coerciviy for bilayer magneic hin films. Fig. 3 (b) shows he coerciviy of bilayer and rilayer. I indicaes ha bilayer need he coupling higher han rilayer o reach negaive coerciviy because bilayer has one inerface o couple less han rilayer (wo inerfaces). Therefore, bilayer and rilayer have he negaive coerciviy a exchange siffness consan abou -18 and -6 pj/m, respecively.
5 N. Chaidaungsri and A. Kaewrawang / Proceeding - Science and Engineering (013) Fig. 3. (a) The hyseresis loop for Ni/TbFeCo bilayer wih A= -18 pj/m; (b) dependence of coerciviy on exchange siffness consans for Ni(8nm)/TbFeCo(0nm)/Ni(8nm) versus Ni(16nm)/TbFeCo(0 nm) 3. Ferromagneic/Aniferromagneic layers The hin layer is assumed o be coupled wih an A underlayer by exchange-bias as shown Fig. (a) and he configuraion of momen and H-field is shown in Fig. (b). Energy of he srucure consiss of Zeeman HM cos θ β ), exchange energy ( J cos (β α) ), and anisoropy energy for ferromagneic layer energy ( ( K sin β ) and aniferromagneic ( K A A sin α ) where H, M, K, and are he applied exernal field, he magneizaion, he anisoropy consan, and he hickness of layer, respecively. β, α and θ are he angles of he M, M A,and H wih respec o he easy axis [9]. J is he aniferromagneic coupling consan beween ferromagneic and aniferromagneic layers Coerciviy In order o invesigaion of magneic properies, we will observe hyseresis loop of ferromagneic/ aniferromagneic layers by calculaed coerciviy. The coerciviy can be deermined by energy of he srucure for swiching sae condiion (H=H c ). The coerciviy depends on he magneic sae parameer β, α and θ. Subsiue he angle for iniial sae (0 o ) and reversal sae (180 o ) ino β, α, and θ, we ge Hc1, H,and c H as c3 shown in Table.
6 476 N. Chaidaungsri and A. Kaewrawang / Proceeding - Science and Engineering (013) Table. Coerciviy depen on he magneic sae parameer β, α, and θ H c1 M Analyical soluions θ β α J K A 1 A A A K J 0 o 0 o 0 o J K K A A Hc -Hc o 180 o 180 o M J A A H c3 M J K A 1 A A A K J 0 o 180 o 0 o 3.. Posiive exchange bias field The posiive exchange bias field ( H ) is he loop-shif range, i can given by Eq. (1) ex J H ex ; M A A J (1) A A Fig. 4. Schemaic of hyseresis loop respec for coerciviy a hree ypical condiions: (a) noncoupling, (b) srong aniferromagneic coupling ( J A A ) and (c) weak aniferromagneic coupling ( J A A )
7 N. Chaidaungsri and A. Kaewrawang / Proceeding - Science and Engineering (013) Fig. 4. (c) seems o sugges ha only weak aniferromagneic coupling ha could be performed posiive exchange bias. M A does no roae o he reversed direcion o negaive following H-field and M. When H- field is applied o posiive, M is hard o roae wih H-field due o weak aniferromagneic coupling Energy barrier heigh The energy barrier heigh indiscriminae he applied field is deermined as E B = E MAX - E MIN where E MAX, E MIN are he maximum and minimum energy of he srucure. I can be obained as, 1 J E B iniial K for β from 0 o (iniial) o 180 o (reversal) () K, 1 J E B reverse K for β from 180 o (reversal) o 0 o (iniial) (3) K The energy barrier of Eq. ()-(3) can plo in Fig. 5 (a)-(b), respecively. I suggess ha he energy barrier heigh increases wih increasing coupling consan. From he physical poin of view, he energy barrier is he key issue in conrolling he momen reversal properies of posiive exchange bias.
8 478 N. Chaidaungsri and A. Kaewrawang / Proceeding - Science and Engineering (013) Conclusions Fig. 5. Energy barrier of (a) iniial o reversal sae and (b) reversal o iniial sae The magneic properies of bilayer magneic hin films are invesigaed in his paper. The aniferromagneic coupling in he inerface of ferromagneic/ferrimagneic can cause he negaive coerciviy. The aniferromagneic coupling of bilayer magneic hin films is lower han rilayer. In addiional, he posiive exchange bias is in he ferromagneic/aniferromagneic layers wih weak aniferromagneic coupling. The resuls of his paper offer useful informaion for he developmen of magneic hin film wih using magneic coupling applicaion. References [1] Grünberg P, Schreiber R, Pang Y, e al. Layered Magneic Srucures: Evidence for Aniferromagneic Coupling of Fe Layers across Cr Inerlayers. Phys Rev Le 1986;57: [] Fulleron Eric E, Margulies D T, Schabes M E, e al. Aniferromagneically coupled magneic media layers for hermally sable highdensiy recording. Appl Phys Le 000;77: [3] Byeon S C, Misra A, Doyle W D. Synheic aniferromagneic sof underlayers for perpendicular recording media. IEEE Trans Magn 004;40: [4] Vicora R H, Xiao S. Exchange Coupled Composie Media. Proc IEEE 008;96: [5] Shan Z S, Jin D, Ren H B, e al. Magneic field and hermal reversal properies of exchange-bias recording films. IEEE Trans Magn 001;37: [6] Xiaoxi Liu, Kanazawa T, Songian Li, e al. Negaive Coerciviy and Spin Configuraion in Ni/TbFeCo/Ni Trilayer. IEEE Trans Magn 009;45: [7] Donahue M J, Porer D G. The objec oriened micromagneic framework (OOMMF) projec a ITL/NIST;006. [8] Soner E C, Wohlfarh E P. A mechanism of magneic hyseresis in heerogeneous alloys. IEEE Trans Magn 1991;7: [9] Nogués J, Schuller I K. Exchange bias. J Magn Magn Maer 1999;19:03-3.
Supplementary Fig. 1: Schematic of the typical phase shift of the resonance. Supplementary Fig. 2: Rule out the scanning effect at the sample edges.
Supplemenary Fig. 1: Schemaic of he ypical phase shif of he resonance. The blue solid curve shows he phase signal as a funcion of frequency f a free resonance sae (when f = f 0, = 0). When he sysem is
More informationThe Simulation of Electret Effect in Zn 0.7 Cd 0.3 S Layers
Nonlinear Analysis: Modelling and Conrol, 2005, Vol. 10, No. 1, 77 82 The Simulaion of Elecre Effec in Zn 0.7 Cd 0.3 S Layers F. Kuliešius 1, S. Tamoši ūnas 2, A. Žindulis 1 1 Faculy of Physics, Vilnius
More informationCombined Bending with Induced or Applied Torsion of FRP I-Section Beams
Combined Bending wih Induced or Applied Torsion of FRP I-Secion Beams MOJTABA B. SIRJANI School of Science and Technology Norfolk Sae Universiy Norfolk, Virginia 34504 USA sirjani@nsu.edu STEA B. BONDI
More informationStability and Bifurcation in a Neural Network Model with Two Delays
Inernaional Mahemaical Forum, Vol. 6, 11, no. 35, 175-1731 Sabiliy and Bifurcaion in a Neural Nework Model wih Two Delays GuangPing Hu and XiaoLing Li School of Mahemaics and Physics, Nanjing Universiy
More informationSliding Mode Controller for Unstable Systems
S. SIVARAMAKRISHNAN e al., Sliding Mode Conroller for Unsable Sysems, Chem. Biochem. Eng. Q. 22 (1) 41 47 (28) 41 Sliding Mode Conroller for Unsable Sysems S. Sivaramakrishnan, A. K. Tangirala, and M.
More informationv A Since the axial rigidity k ij is defined by P/v A, we obtain Pa 3
The The rd rd Inernaional Conference on on Design Engineering and Science, ICDES 14 Pilsen, Czech Pilsen, Republic, Czech Augus Republic, 1 Sepember 1-, 14 In-plane and Ou-of-plane Deflecion of J-shaped
More informationSTRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN
Inernaional Journal of Applied Economerics and Quaniaive Sudies. Vol.1-3(004) STRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN 001-004 OBARA, Takashi * Absrac The
More informationSTATE-SPACE MODELLING. A mass balance across the tank gives:
B. Lennox and N.F. Thornhill, 9, Sae Space Modelling, IChemE Process Managemen and Conrol Subjec Group Newsleer STE-SPACE MODELLING Inroducion: Over he pas decade or so here has been an ever increasing
More informationIMPROVED HYPERBOLIC FUNCTION METHOD AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT BENJAMIN-BONA-MAHONY-BURGERS EQUATION
THERMAL SCIENCE, Year 015, Vol. 19, No. 4, pp. 1183-1187 1183 IMPROVED HYPERBOLIC FUNCTION METHOD AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT BENJAMIN-BONA-MAHONY-BURGERS EQUATION by Hong-Cai MA a,b*,
More informationd 1 = c 1 b 2 - b 1 c 2 d 2 = c 1 b 3 - b 1 c 3
and d = c b - b c c d = c b - b c c This process is coninued unil he nh row has been compleed. The complee array of coefficiens is riangular. Noe ha in developing he array an enire row may be divided or
More informationOptimal Control of Dc Motor Using Performance Index of Energy
American Journal of Engineering esearch AJE 06 American Journal of Engineering esearch AJE e-issn: 30-0847 p-issn : 30-0936 Volume-5, Issue-, pp-57-6 www.ajer.org esearch Paper Open Access Opimal Conrol
More informationImproved Approximate Solutions for Nonlinear Evolutions Equations in Mathematical Physics Using the Reduced Differential Transform Method
Journal of Applied Mahemaics & Bioinformaics, vol., no., 01, 1-14 ISSN: 179-660 (prin), 179-699 (online) Scienpress Ld, 01 Improved Approimae Soluions for Nonlinear Evoluions Equaions in Mahemaical Physics
More informationRobust estimation based on the first- and third-moment restrictions of the power transformation model
h Inernaional Congress on Modelling and Simulaion, Adelaide, Ausralia, 6 December 3 www.mssanz.org.au/modsim3 Robus esimaion based on he firs- and hird-momen resricions of he power ransformaion Nawaa,
More informationdi Bernardo, M. (1995). A purely adaptive controller to synchronize and control chaotic systems.
di ernardo, M. (995). A purely adapive conroller o synchronize and conrol chaoic sysems. hps://doi.org/.6/375-96(96)8-x Early version, also known as pre-prin Link o published version (if available):.6/375-96(96)8-x
More informationDynamic Analysis of Damped Driven Pendulum using Laplace Transform Method
, ISSN 0974-570X (Online), ISSN 0974-578 (Prin), Vol. 6; Issue No. 3; Year 05, Copyrigh 05 by CESER PUBLICATIONS Dynamic Analysis of Damped Driven Pendulum using Laplace Transform Mehod M.C. Agarana and
More informationWEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x
WEEK-3 Reciaion PHYS 131 Ch. 3: FOC 1, 3, 4, 6, 14. Problems 9, 37, 41 & 71 and Ch. 4: FOC 1, 3, 5, 8. Problems 3, 5 & 16. Feb 8, 018 Ch. 3: FOC 1, 3, 4, 6, 14. 1. (a) The horizonal componen of he projecile
More informationSub Module 2.6. Measurement of transient temperature
Mechanical Measuremens Prof. S.P.Venkaeshan Sub Module 2.6 Measuremen of ransien emperaure Many processes of engineering relevance involve variaions wih respec o ime. The sysem properies like emperaure,
More informationarxiv: v1 [math.na] 23 Feb 2016
EPJ Web of Conferences will be se by he publisher DOI: will be se by he publisher c Owned by he auhors, published by EDP Sciences, 16 arxiv:163.67v1 [mah.na] 3 Feb 16 Numerical Soluion of a Nonlinear Inegro-Differenial
More informationCHANGE IN THE RESISTANCE OF THE SEMICONDUCTOR IN THE VARIABLE DEFORMATION FIELD
CHANGE IN THE RESISTANCE OF THE SEMICONDUCTOR IN THE VARIABLE DEFORMATION FIELD M. AHMETOGLU (AFRAILOV) 1, G. GULYAMOV 2, S. H. SHAMIRZAEV 2, A. G. GULYAMOV 2, M. G. DADAMIRZAEV 2, N. APRAILOV 2, F. KOÇAK
More informationChapter 7 Response of First-order RL and RC Circuits
Chaper 7 Response of Firs-order RL and RC Circuis 7.- The Naural Response of RL and RC Circuis 7.3 The Sep Response of RL and RC Circuis 7.4 A General Soluion for Sep and Naural Responses 7.5 Sequenial
More informationThe motions of the celt on a horizontal plane with viscous friction
The h Join Inernaional Conference on Mulibody Sysem Dynamics June 8, 18, Lisboa, Porugal The moions of he cel on a horizonal plane wih viscous fricion Maria A. Munisyna 1 1 Moscow Insiue of Physics and
More informationMulti-scale 2D acoustic full waveform inversion with high frequency impulsive source
Muli-scale D acousic full waveform inversion wih high frequency impulsive source Vladimir N Zubov*, Universiy of Calgary, Calgary AB vzubov@ucalgaryca and Michael P Lamoureux, Universiy of Calgary, Calgary
More informationComputation of the Effect of Space Harmonics on Starting Process of Induction Motors Using TSFEM
Journal of elecrical sysems Special Issue N 01 : November 2009 pp: 48-52 Compuaion of he Effec of Space Harmonics on Saring Process of Inducion Moors Using TSFEM Youcef Ouazir USTHB Laboraoire des sysèmes
More informationBifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays
Applied Mahemaics 4 59-64 hp://dx.doi.org/.46/am..4744 Published Online July (hp://www.scirp.org/ournal/am) Bifurcaion Analysis of a Sage-Srucured Prey-Predaor Sysem wih Discree and Coninuous Delays Shunyi
More informationApplication of a Stochastic-Fuzzy Approach to Modeling Optimal Discrete Time Dynamical Systems by Using Large Scale Data Processing
Applicaion of a Sochasic-Fuzzy Approach o Modeling Opimal Discree Time Dynamical Sysems by Using Large Scale Daa Processing AA WALASZE-BABISZEWSA Deparmen of Compuer Engineering Opole Universiy of Technology
More informationSliding Mode Extremum Seeking Control for Linear Quadratic Dynamic Game
Sliding Mode Exremum Seeking Conrol for Linear Quadraic Dynamic Game Yaodong Pan and Ümi Özgüner ITS Research Group, AIST Tsukuba Eas Namiki --, Tsukuba-shi,Ibaraki-ken 5-856, Japan e-mail: pan.yaodong@ais.go.jp
More informationHall effect. Formulae :- 1) Hall coefficient RH = cm / Coulumb. 2) Magnetic induction BY 2
Page of 6 all effec Aim :- ) To deermine he all coefficien (R ) ) To measure he unknown magneic field (B ) and o compare i wih ha measured by he Gaussmeer (B ). Apparaus :- ) Gauss meer wih probe ) Elecromagne
More information- If one knows that a magnetic field has a symmetry, one may calculate the magnitude of B by use of Ampere s law: The integral of scalar product
11.1 APPCATON OF AMPEE S AW N SYMMETC MAGNETC FEDS - f one knows ha a magneic field has a symmery, one may calculae he magniude of by use of Ampere s law: The inegral of scalar produc Closed _ pah * d
More informationECE 2100 Circuit Analysis
ECE 1 Circui Analysis Lesson 35 Chaper 8: Second Order Circuis Daniel M. Liynski, Ph.D. ECE 1 Circui Analysis Lesson 3-34 Chaper 7: Firs Order Circuis (Naural response RC & RL circuis, Singulariy funcions,
More informationModal identification of structures from roving input data by means of maximum likelihood estimation of the state space model
Modal idenificaion of srucures from roving inpu daa by means of maximum likelihood esimaion of he sae space model J. Cara, J. Juan, E. Alarcón Absrac The usual way o perform a forced vibraion es is o fix
More informationCHAPTER 12 DIRECT CURRENT CIRCUITS
CHAPTER 12 DIRECT CURRENT CIUITS DIRECT CURRENT CIUITS 257 12.1 RESISTORS IN SERIES AND IN PARALLEL When wo resisors are conneced ogeher as shown in Figure 12.1 we said ha hey are conneced in series. As
More informationModule 2 F c i k c s la l w a s o s f dif di fusi s o i n
Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms
More informationReading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4.
PHY1 Elecriciy Topic 7 (Lecures 1 & 11) Elecric Circuis n his opic, we will cover: 1) Elecromoive Force (EMF) ) Series and parallel resisor combinaions 3) Kirchhoff s rules for circuis 4) Time dependence
More informationStructural Dynamics and Earthquake Engineering
Srucural Dynamics and Earhquae Engineering Course 1 Inroducion. Single degree of freedom sysems: Equaions of moion, problem saemen, soluion mehods. Course noes are available for download a hp://www.c.up.ro/users/aurelsraan/
More informationψ(t) = V x (0)V x (t)
.93 Home Work Se No. (Professor Sow-Hsin Chen Spring Term 5. Due March 7, 5. This problem concerns calculaions of analyical expressions for he self-inermediae scaering funcion (ISF of he es paricle in
More informationMathematical Theory and Modeling ISSN (Paper) ISSN (Online) Vol 3, No.3, 2013
Mahemaical Theory and Modeling ISSN -580 (Paper) ISSN 5-05 (Online) Vol, No., 0 www.iise.org The ffec of Inverse Transformaion on he Uni Mean and Consan Variance Assumpions of a Muliplicaive rror Model
More informationKeywords: thermal stress; thermal fatigue; inverse analysis; heat conduction; regularization
Proceedings Inverse Analysis for Esimaing Temperaure and Residual Sress Disribuions in a Pipe from Ouer Surface Temperaure Measuremen and Is Regularizaion Shiro Kubo * and Shoki Taguwa Deparmen of Mechanical
More informationElectrical and current self-induction
Elecrical and curren self-inducion F. F. Mende hp://fmnauka.narod.ru/works.hml mende_fedor@mail.ru Absrac The aricle considers he self-inducance of reacive elemens. Elecrical self-inducion To he laws of
More informationAssignment 6. Tyler Shendruk December 6, 2010
Assignmen 6 Tyler Shendruk December 6, 1 1 Harden Problem 1 Le K be he coupling and h he exernal field in a 1D Ising model. From he lecures hese can be ransformed ino effecive coupling and fields K and
More informationNumerical Simulation of the Overall Flow Field for Underwater Vehicle with Pump Jet Thruster
Available online a www.sciencedirec.com Procedia Engineering 31 (2012) 769 774 Inernaional Conference on Advances in Compuaional Modeling and Simulaion Numerical Simulaion of he Overall Flow Field for
More informationOn the Solutions of First and Second Order Nonlinear Initial Value Problems
Proceedings of he World Congress on Engineering 13 Vol I, WCE 13, July 3-5, 13, London, U.K. On he Soluions of Firs and Second Order Nonlinear Iniial Value Problems Sia Charkri Absrac In his paper, we
More informationV AK (t) I T (t) I TRM. V AK( full area) (t) t t 1 Axial turn-on. Switching losses for Phase Control and Bi- Directionally Controlled Thyristors
Applicaion Noe Swiching losses for Phase Conrol and Bi- Direcionally Conrolled Thyrisors V AK () I T () Causing W on I TRM V AK( full area) () 1 Axial urn-on Plasma spread 2 Swiching losses for Phase Conrol
More informationModule 4: Time Response of discrete time systems Lecture Note 2
Module 4: Time Response of discree ime sysems Lecure Noe 2 1 Prooype second order sysem The sudy of a second order sysem is imporan because many higher order sysem can be approimaed by a second order model
More informationDead-time Induced Oscillations in Inverter-fed Induction Motor Drives
Dead-ime Induced Oscillaions in Inverer-fed Inducion Moor Drives Anirudh Guha Advisor: Prof G. Narayanan Power Elecronics Group Dep of Elecrical Engineering, Indian Insiue of Science, Bangalore, India
More informationEvaluation of Mean Time to System Failure of a Repairable 3-out-of-4 System with Online Preventive Maintenance
American Journal of Applied Mahemaics and Saisics, 0, Vol., No., 9- Available online a hp://pubs.sciepub.com/ajams/// Science and Educaion Publishing DOI:0.69/ajams--- Evaluaion of Mean Time o Sysem Failure
More information14 Autoregressive Moving Average Models
14 Auoregressive Moving Average Models In his chaper an imporan parameric family of saionary ime series is inroduced, he family of he auoregressive moving average, or ARMA, processes. For a large class
More informationToroidal Field Ripple Induced Excursion of Banana Orbit
Toroidal Field Ripple Induced Excursion of Banana Orbi in Tokamak Plasmas Gao Qingdi Key words TF ripple Banana orbi Local magneic well Thermonuclear plasma ions wihin a okamak mus be achieved wih a finie
More informationThe Optimal Stopping Time for Selling an Asset When It Is Uncertain Whether the Price Process Is Increasing or Decreasing When the Horizon Is Infinite
American Journal of Operaions Research, 08, 8, 8-9 hp://wwwscirporg/journal/ajor ISSN Online: 60-8849 ISSN Prin: 60-8830 The Opimal Sopping Time for Selling an Asse When I Is Uncerain Wheher he Price Process
More informationMobile Ion Effects on SiC MOS Bias- Temperature Instability Measurements
14-15 Aug 2014 1 U.S. Army Research, Developmen and Engineering Command Mobile Ion Effecs on SiC MOS Bias- Temperaure Insabiliy Measuremens Daniel B. Habersa Neil Goldsman (UMD), and Aivars Lelis 14-15
More informationProbabilistic Models for Reliability Analysis of a System with Three Consecutive Stages of Deterioration
Yusuf I., Gaawa R.I. Volume, December 206 Probabilisic Models for Reliabiliy Analysis of a Sysem wih Three Consecuive Sages of Deerioraion Ibrahim Yusuf Deparmen of Mahemaical Sciences, Bayero Universiy,
More informationSelective peracetic acid determination in the presence of hydrogen peroxide using the molecular absorption properties of catalase
Analyical and Bioanalyical Chemisry Elecronic Supplemenary Maerial Selecive peraceic acid deerminaion in he presence of hydrogen peroxide using he molecular absorpion properies of caalase Javier Galbán,
More informationPhysics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle
Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,
More informationMulti-Frequency Sheath Dynamics
Muli-Frequency Sheah Dynamics Seven Shannon, Alex Paerson, Theodoros Panagopoulos, Daniel Hoffman, John Holland, Dennis Grimard (Universiy of Michigan) Purpose of research RF plasmas wih muliple frequency
More informationOutline of Topics. Analysis of ODE models with MATLAB. What will we learn from this lecture. Aim of analysis: Why such analysis matters?
of Topics wih MATLAB Shan He School for Compuaional Science Universi of Birmingham Module 6-3836: Compuaional Modelling wih MATLAB Wha will we learn from his lecure Aim of analsis: Aim of analsis. Some
More informationVariational Iteration Method for Solving System of Fractional Order Ordinary Differential Equations
IOSR Journal of Mahemaics (IOSR-JM) e-issn: 2278-5728, p-issn: 2319-765X. Volume 1, Issue 6 Ver. II (Nov - Dec. 214), PP 48-54 Variaional Ieraion Mehod for Solving Sysem of Fracional Order Ordinary Differenial
More informationarxiv: v1 [math.gm] 4 Nov 2018
Unpredicable Soluions of Linear Differenial Equaions Mara Akhme 1,, Mehme Onur Fen 2, Madina Tleubergenova 3,4, Akylbek Zhamanshin 3,4 1 Deparmen of Mahemaics, Middle Eas Technical Universiy, 06800, Ankara,
More informationSPH3U1 Lesson 03 Kinematics
SPH3U1 Lesson 03 Kinemaics GRAPHICAL ANALYSIS LEARNING GOALS Sudens will Learn how o read values, find slopes and calculae areas on graphs. Learn wha hese values mean on boh posiion-ime and velociy-ime
More informationIMPACT OF AN OBLIQUE BREAKING WAVE ON A WALL
Source: Physics of Fluids Vol 6 No pp 6-64 4 DOI: 6/64445 IMPACT OF AN OIQUE REAKING WAVE ON A WA Jian-Jun SHU School of Mechanical & Aerospace Engineering Nanyang Technological Universiy 5 Nanyang Avenue
More informationA Note on Fractional Electrodynamics. Abstract
Commun Nonlinear Sci Numer Simula 8 (3 589 593 A Noe on Fracional lecrodynamics Hosein Nasrolahpour Absrac We invesigae he ime evoluion o he racional elecromagneic waves by using he ime racional Maxwell's
More informationFinal Spring 2007
.615 Final Spring 7 Overview The purpose of he final exam is o calculae he MHD β limi in a high-bea oroidal okamak agains he dangerous n = 1 exernal ballooning-kink mode. Effecively, his corresponds o
More informationCLASS XI SET A PHYSICS. 1. If and Let. The correct order of % error in. (a) (b) x = y > z (c) x < z < y (d) x > z < y
PHYSICS 1. If and Le. The correc order of % error in (a) (b) x = y > z x < z < y x > z < y. A hollow verical cylinder of radius r and heigh h has a smooh inernal surface. A small paricle is placed in conac
More informationChapter 3 (Lectures 12, 13 and 14) Longitudinal stick free static stability and control
Fligh dynamics II Sabiliy and conrol haper 3 (Lecures 1, 13 and 14) Longiudinal sick free saic sabiliy and conrol Keywords : inge momen and is variaion wih ail angle, elevaor deflecion and ab deflecion
More informationComparative study between two models of a linear oscillating tubular motor
IOSR Journal of Elecrical and Elecronics Engineering (IOSR-JEEE) e-issn: 78-676,p-ISSN: 3-333, Volume 9, Issue Ver. IV (Feb. 4), PP 77-83 Comparaive sudy beween wo models of a linear oscillaing ubular
More information3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon
3..3 INRODUCION O DYNAMIC OPIMIZAION: DISCREE IME PROBLEMS A. he Hamilonian and Firs-Order Condiions in a Finie ime Horizon Define a new funcion, he Hamilonian funcion, H. H he change in he oal value of
More informationClass Meeting # 10: Introduction to the Wave Equation
MATH 8.5 COURSE NOTES - CLASS MEETING # 0 8.5 Inroducion o PDEs, Fall 0 Professor: Jared Speck Class Meeing # 0: Inroducion o he Wave Equaion. Wha is he wave equaion? The sandard wave equaion for a funcion
More informationTHE EFFECT OF SUCTION AND INJECTION ON UNSTEADY COUETTE FLOW WITH VARIABLE PROPERTIES
Kragujevac J. Sci. 3 () 7-4. UDC 53.5:536. 4 THE EFFECT OF SUCTION AND INJECTION ON UNSTEADY COUETTE FLOW WITH VARIABLE PROPERTIES Hazem A. Aia Dep. of Mahemaics, College of Science,King Saud Universiy
More informationNumerical Solution of a Nonlinear Integro-Differential Equation
EPJ Web of Conferences 18, 17 (16) DOI: 1.151/ epjconf/ 161817 C Owned by he auhors, published by EDP Sciences, 16 Numerical Soluion of a Nonlinear Inegro-Differenial Equaion Ján Buša 1,a, Michal Hnaič,3,4,b,
More informationA DELAY-DEPENDENT STABILITY CRITERIA FOR T-S FUZZY SYSTEM WITH TIME-DELAYS
A DELAY-DEPENDENT STABILITY CRITERIA FOR T-S FUZZY SYSTEM WITH TIME-DELAYS Xinping Guan ;1 Fenglei Li Cailian Chen Insiue of Elecrical Engineering, Yanshan Universiy, Qinhuangdao, 066004, China. Deparmen
More informationEECE251. Circuit Analysis I. Set 4: Capacitors, Inductors, and First-Order Linear Circuits
EEE25 ircui Analysis I Se 4: apaciors, Inducors, and Firs-Order inear ircuis Shahriar Mirabbasi Deparmen of Elecrical and ompuer Engineering Universiy of Briish olumbia shahriar@ece.ubc.ca Overview Passive
More informationIn this chapter the model of free motion under gravity is extended to objects projected at an angle. When you have completed it, you should
Cambridge Universiy Press 978--36-60033-7 Cambridge Inernaional AS and A Level Mahemaics: Mechanics Coursebook Excerp More Informaion Chaper The moion of projeciles In his chaper he model of free moion
More informationA car following model for traffic flow simulation
Inernaional Journal of Applied Mahemaical Sciences ISSN 0973-076 Volume 9, Number (206), pp. -9 Research India Publicaions hp://www.ripublicaion.com A car following model for raffic flow simulaion Doudou
More informationVehicle Arrival Models : Headway
Chaper 12 Vehicle Arrival Models : Headway 12.1 Inroducion Modelling arrival of vehicle a secion of road is an imporan sep in raffic flow modelling. I has imporan applicaion in raffic flow simulaion where
More informationChapter 3 Boundary Value Problem
Chaper 3 Boundary Value Problem A boundary value problem (BVP) is a problem, ypically an ODE or a PDE, which has values assigned on he physical boundary of he domain in which he problem is specified. Le
More informationLet us start with a two dimensional case. We consider a vector ( x,
Roaion marices We consider now roaion marices in wo and hree dimensions. We sar wih wo dimensions since wo dimensions are easier han hree o undersand, and one dimension is a lile oo simple. However, our
More informationEE650R: Reliability Physics of Nanoelectronic Devices Lecture 9:
EE65R: Reliabiliy Physics of anoelecronic Devices Lecure 9: Feaures of Time-Dependen BTI Degradaion Dae: Sep. 9, 6 Classnoe Lufe Siddique Review Animesh Daa 9. Background/Review: BTI is observed when he
More informationModified Projective Synchronization of Different Hyperchaotic Systems
ISSN 76-7659, England, UK Journal of Informaion and Compuing Science Vol., No., 009, pp. 033-00 Modified Projecive Synchronizaion of Differen Hyperchaoic Sysems HongLan Zhu, +, XueBing Zhang Huaiyin Insiue
More informationSecond quantization and gauge invariance.
1 Second quanizaion and gauge invariance. Dan Solomon Rauland-Borg Corporaion Moun Prospec, IL Email: dsolom@uic.edu June, 1. Absrac. I is well known ha he single paricle Dirac equaion is gauge invarian.
More informationTransverse and Longitudinal Damped Vibrations of Hydraulic Cylinder in a Mining Prop
Vibraions in Physical Sysems Vol. 7 (06) Transverse and Longiudinal Damped Vibraions of Hydraulic Cylinder in a Mining Prop Wojciech SOCHACK nsiue of Mechanics and Fundamenals of Machinery Design Universiy
More informationNumerical Dispersion
eview of Linear Numerical Sabiliy Numerical Dispersion n he previous lecure, we considered he linear numerical sabiliy of boh advecion and diffusion erms when approimaed wih several spaial and emporal
More informationSimulation-Solving Dynamic Models ABE 5646 Week 2, Spring 2010
Simulaion-Solving Dynamic Models ABE 5646 Week 2, Spring 2010 Week Descripion Reading Maerial 2 Compuer Simulaion of Dynamic Models Finie Difference, coninuous saes, discree ime Simple Mehods Euler Trapezoid
More informationHW6: MRI Imaging Pulse Sequences (7 Problems for 100 pts)
HW6: MRI Imaging Pulse Sequences (7 Problems for 100 ps) GOAL The overall goal of HW6 is o beer undersand pulse sequences for MRI image reconsrucion. OBJECTIVES 1) Design a spin echo pulse sequence o image
More information6.01: Introduction to EECS I Lecture 8 March 29, 2011
6.01: Inroducion o EES I Lecure 8 March 29, 2011 6.01: Inroducion o EES I Op-Amps Las Time: The ircui Absracion ircuis represen sysems as connecions of elemens hrough which currens (hrough variables) flow
More informationDynamic Analysis of Loads Moving Over Structures
h Inernaional ongress of roaian ociey of echanics epember, 18-, 3 Bizovac, roaia ynamic nalysis of Loads oving Over rucures Ivica Kožar, Ivana Šimac Keywords: moving load, direc acceleraion mehod 1. Inroducion
More informationAnti-Disturbance Control for Multiple Disturbances
Workshop a 3 ACC Ani-Disurbance Conrol for Muliple Disurbances Lei Guo (lguo@buaa.edu.cn) Naional Key Laboraory on Science and Technology on Aircraf Conrol, Beihang Universiy, Beijing, 9, P.R. China. Presened
More informationThe Application of Optimal Homotopy Asymptotic Method for One-Dimensional Heat and Advection- Diffusion Equations
Inf. Sci. Le., No., 57-61 13) 57 Informaion Sciences Leers An Inernaional Journal hp://d.doi.org/1.1785/isl/ The Applicaion of Opimal Homoopy Asympoic Mehod for One-Dimensional Hea and Advecion- Diffusion
More informationA NEW TECHNOLOGY FOR SOLVING DIFFUSION AND HEAT EQUATIONS
THERMAL SCIENCE: Year 7, Vol., No. A, pp. 33-4 33 A NEW TECHNOLOGY FOR SOLVING DIFFUSION AND HEAT EQUATIONS by Xiao-Jun YANG a and Feng GAO a,b * a School of Mechanics and Civil Engineering, China Universiy
More informationA Method for Setting the Artificial Boundary Conditions of Groundwater Model
Open Journal of Geology, 2013, 3, 50-54 doi:10.4236/ojg.2013.32b012 Published Online April 2013 (hp://www.scirp.org/journal/ojg) A Mehod for Seing he Arificial Boundary Condiions of Groundwaer Model Yipeng
More informationALMOST UNBIASED RATIO AND PRODUCT TYPE EXPONENTIAL ESTIMATORS
STATISTIS IN TANSITION-new series, December 0 537 STATISTIS IN TANSITION-new series, December 0 Vol. 3, No. 3, pp. 537 550 ALMOST UNBIASED ATIO AND ODUT TYE EXONENTIAL ESTIMATOS ohini Yadav, Lakshmi N.
More informationHomotopy Perturbation Method for Solving Some Initial Boundary Value Problems with Non Local Conditions
Proceedings of he World Congress on Engineering and Compuer Science 23 Vol I WCECS 23, 23-25 Ocober, 23, San Francisco, USA Homoopy Perurbaion Mehod for Solving Some Iniial Boundary Value Problems wih
More informationApplying Genetic Algorithms for Inventory Lot-Sizing Problem with Supplier Selection under Storage Capacity Constraints
IJCSI Inernaional Journal of Compuer Science Issues, Vol 9, Issue 1, No 1, January 2012 wwwijcsiorg 18 Applying Geneic Algorihms for Invenory Lo-Sizing Problem wih Supplier Selecion under Sorage Capaciy
More informationRecursive Least-Squares Fixed-Interval Smoother Using Covariance Information based on Innovation Approach in Linear Continuous Stochastic Systems
8 Froniers in Signal Processing, Vol. 1, No. 1, July 217 hps://dx.doi.org/1.2266/fsp.217.112 Recursive Leas-Squares Fixed-Inerval Smooher Using Covariance Informaion based on Innovaion Approach in Linear
More informationCONTRIBUTION TO IMPULSIVE EQUATIONS
European Scienific Journal Sepember 214 /SPECIAL/ ediion Vol.3 ISSN: 1857 7881 (Prin) e - ISSN 1857-7431 CONTRIBUTION TO IMPULSIVE EQUATIONS Berrabah Faima Zohra, MA Universiy of sidi bel abbes/ Algeria
More informationChapter 2. First Order Scalar Equations
Chaper. Firs Order Scalar Equaions We sar our sudy of differenial equaions in he same way he pioneers in his field did. We show paricular echniques o solve paricular ypes of firs order differenial equaions.
More informationChapter 8 The Complete Response of RL and RC Circuits
Chaper 8 The Complee Response of RL and RC Circuis Seoul Naional Universiy Deparmen of Elecrical and Compuer Engineering Wha is Firs Order Circuis? Circuis ha conain only one inducor or only one capacior
More informationStable block Toeplitz matrix for the processing of multichannel seismic data
Indian Journal of Marine Sciences Vol. 33(3), Sepember 2004, pp. 215-219 Sable block Toepliz marix for he processing of mulichannel seismic daa Kiri Srivasava* & V P Dimri Naional Geophysical Research
More informationA unit root test based on smooth transitions and nonlinear adjustment
MPRA Munich Personal RePEc Archive A uni roo es based on smooh ransiions and nonlinear adjusmen Aycan Hepsag Isanbul Universiy 5 Ocober 2017 Online a hps://mpra.ub.uni-muenchen.de/81788/ MPRA Paper No.
More informationMost Probable Phase Portraits of Stochastic Differential Equations and Its Numerical Simulation
Mos Probable Phase Porrais of Sochasic Differenial Equaions and Is Numerical Simulaion Bing Yang, Zhu Zeng and Ling Wang 3 School of Mahemaics and Saisics, Huazhong Universiy of Science and Technology,
More informationApplication of variational iteration method for solving the nonlinear generalized Ito system
Applicaion of variaional ieraion mehod for solving he nonlinear generalized Io sysem A.M. Kawala *; Hassan A. Zedan ** *Deparmen of Mahemaics, Faculy of Science, Helwan Universiy, Cairo, Egyp **Deparmen
More informationUniversity of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers
Universiy of Cyprus Biomedical Imaging and Applied Opics Appendix DC Circuis Capaciors and Inducors AC Circuis Operaional Amplifiers Circui Elemens An elecrical circui consiss of circui elemens such as
More informationThe expectation value of the field operator.
The expecaion value of he field operaor. Dan Solomon Universiy of Illinois Chicago, IL dsolom@uic.edu June, 04 Absrac. Much of he mahemaical developmen of quanum field heory has been in suppor of deermining
More information