GEM4 Summer School OpenCourseWare
|
|
- Jennifer Pierce
- 5 years ago
- Views:
Transcription
1 GEM4 Summer School OpenCourseWare Lecture: Microrheology of a Complex Fluid by Dr. Peter So. Given August 10, 2006 during the GEM4 session at MIT in Cambridge, MA. Please use the following citation format: So, Peter. Microrheology of a Complex Fluid. Lecture, GEM4 session at MIT, Cambridge, MA, August 10, (accessed MM DD, YYYY). License: Creative Commons Attribution-Noncommercial-Share Alike. Note: Please use the actual date you accessed this material in your citation.
2 Microrheology of Complex Fluid Rheology: Science of the deformation & flow of matter Microrheology - Microscopic scale samples - Micrometer lengths Complex shear modulus G*(ω) σ = G* ε Image removed due to copyright restrictions. Storage modulus G Energy storage Elasticity ~ Solid - G* (ω) = G (ω) + j G (ω) Loss modulus G Image removed due to - Solid vs. fluid copyright restrictions. Energy dissipation - Resistance to deformation Viscosity ~ Fluid
3 High Frequency Microrheology Measurement Active Method: Magnetic microrheometer Baush, BJ 1998 Huang, BJ 2002 Passive Method: Single particle tracking Mason, PRL 1995 Yamada, BJ 2000 Multiple particle tracking Crocker, PRL 2000
4 Magnetic Microrheology Magnetic trap Computer Control signal Sample holder Current amplifier Distance (µm) data fit CCD Time (s) Figures by MIT OCW. Magnetic Microrheology 5 sec Step Response
5 Basic Physics of Magnetic Microrheometer Ferromagnetic particle 1 F = µ 0 ( m H) 2 Particles cluster together! Doesn t work! Paramagnetic particle no permanent magnetic moment F = µ χv ( H H ) 0 χ is suceptibility V is volume Note: (1) force depends on volume of particle (5 micron bead provide 125x more force) (2) force depends on magnetic field GRADIENT
6 Magnetic manipulation in 3D *Lower Force nn level *3D *Uniform gradien Amblad, RSI 1996 Huang, BJ 2002 Courtesy of Dr. Peter So. Used with permission.
7 Magnetic manipulation in 1D Sample chamber Magnet r Cover glass *High force >10 nn *Field non-uniform Needs careful alignment of tip to within microns *1D Figure by MIT OCW. After Bausch et al., The bandwidth of ALL magnetic microrheometer is limited by the inductance of the eletromagnet to about kilohertz
8 Magnetic Rheometer Requires Calibration Distance to pole piece (µm) Force on magnetic bead (pn) l = 2500 ma l = 250 ma Force on magnetic bead (pn) (a) Distance to pole piece (µm) Coil current (ma) (b) 10 µm 25 µm 50 µm 75 µm 100 µm linear fits Figure by MIT OCW. After Bausch, 1998.
9 Mag Rheometer Experimental Results 1.5 Displacement X(t)µm I II III Time (s) Force (pn) Figure by MIT OCW. After Bausch, Transient responses allow fitting to micro-mechanical model Image removed due to copyright restrictions. See Fig. 5 in Bausch et al. "Local Measurements of Viscoelastic Parameters of Adherent Cell Surfaces by Magnetic Bead Microrheometry."metry." Problem Magnetic bead rolling Biophys J 75 (1998): Solution Injection, Endocytosis Modeling (Karcher BJ 2003)
10 Model Strain Field Distribution New Text Image removed due to copyright reasons. See Fig. 9 in Bausch et al. "Local Measurements of Viscoelastic Parameters of Adherent Cell Surfaces by Magnetic Bead Microrheometry." Biophys J 75 (1998):
11 Single Particle Tracking Consider the thermal driven motion of a sphere in a complex fluid Langevin Equation t mv& ( t) = f ( t) + ξ ( t t') v( t') dt' 0 Inertial Random Memory function force thermal Material viscosity force Particle shape
12 Langevin Equation in Frequency Domain Laplace transform of Langevin Equation v ~ ( s) = ~ f ( s) + mv(0) ~ ξ ( s ) + ms Multiple by v(0), taking a time average, Ignoring inertial term Random force < ~ f ( s) v(0) >= ξ ( s ) 0 Equipartition of energy m < v(0) v(0) >= kt Generalized Stokes Einstein = 6πa ~ η ( s) ~ G( s) = s ~ η ( s) ~ G ( s) = π as kt < ~ r 2 ( s ) > Definition and Laplace transform of mean square displacement < v (0) v ~ ( s) >= s 2 < ~ r 2 ( s) > / 6
13 (2) Fluorescence Laser Tracking Microrheometer Approach: Monitoring the Brownian dynamics of particles embedded in a viscoelastic material to probe its frequencydependent rheology trajectory Image removed due to copyright restrictions. mean squared displacement shear modulus Yamada, Wirtz, Kuo, Biophys. J. 2000
14 (2) Nanometer Resolution for the Bead s Trajectory Collecting enough light from a fluorescent bead is critical σ = 0.5 µm A x c B x Photons detected per measurement Uncertainty on Uncertainty on x c (nm) Nanometer resolution 10 4 photons per measurement
15 (2) Calibrating the FLTM y Ch3 Ch2 Ch1 Ch0 x 5-nm stepping at 5 or 50 khz Curve fitting matches theory RatioX = (ChO + Ch 2 ) / (Ch 1 +Ch 3 ) nm steps at 50 khz 5-nm steps at 5 khz Ratio Y = (Ch2+Ch3) / (ChO + Ch1) y-position of the bead (nm) Fit y e-006 y 2 Figure by MIT OCW. Figure by MIT OCW.
16 Characterizing the FLTM Using polyacrylamide gels (w/v 2% to 5%) of known properties 9 Good agreement with previously published data Image removed due to copyright restrictions. See. Fig. 11(a) in Schnurr, B., F. Gittes, F. C. MacKintosh, and C. F. Schmidt. "Determining Microscopic Viscoelasticity in Flexible and Semiflexible Polymer Networks from Thermal Fluctuations." Macromolecules 30 (1997): Image removed due to copyright restrictions.
17 Single Particle Tracking Data Image removed due to copyright restrictions. See Fig. 4(a) and 7 in Yamada, Soichiro, Denis Wirtz, and Scot C. Kuo. "Mechanics of Living Cells Measured by Laser Tracking Microrheology." Biophys J 78 (2000): Image removed due to copyright restrictions. See Fig. 4(a) and 7 in Yamada, Soichiro, Denis Wirtz, and Scot C. Kuo. Image removed due to copyright restrictions. "Mechan." Biophys ics See of Living Fig. 4(a) Cells and Measured 7 in Yamada, by Laser Soichiro, Tracking Denis Microrheology Wirtz, and Scot C. Kuo. "Mechanics of Living Cells Measured by Laser Tracking Microrheology." Biophys J 78 (2000): J 78 (2000):
18 Two- and Multiple Particle Tracking SPT responses can be influence by local processes (adhesion, active, etc) and not represents global cytoskeleton behavior Solution: Look at the correlated motion of two particles under thermal force D D rr rr i r ( r, τ ) =< r ( t, τ ) r ( t, τ ) δ ( r R ( t)) >, kt ( r, s) = ~ 2π rsg( s) j r ij i j t The major difference is that the correlation signal is a function of r the separation of the particles but not their size Instead of using fast quadrant detectors, multiple particle tracking uses a wide field camera which is slower
19 SPT vs MPT Triangle: SPT Circle: MPT 0.01 G' G" Figure by MIT OCW. After Crocker, SPT and MPT results can be quite different specially in cells
20 A Comparison of Microrheometry Methods Magnetic SPT MPT Bandwidth khz MHz khz Signal Amplitude µm nm nm Local Effects Yes Yes No Nonlinear regime Yes No No Instrument Intermediate Intermediate Simple
One- and two-particle microrheology in solutions of actin, fd-virus and inorganic rods
Microrheology of Biopolymers (ITP Complex Fluids Program 3/05/02) One- and two-particle microrheology in solutions of actin, fd-virus and inorganic rods Christoph Schmidt Vrije Universiteit Amsterdam Collaborators:
More informationLecture Note October 1, 2009 Nanostructure characterization techniques
Lecture Note October 1, 29 Nanostructure characterization techniques UT-Austin PHYS 392 T, unique # 5977 ME 397 unique # 1979 CHE 384, unique # 151 Instructor: Professor C.K. Shih Subjects: Applications
More informationOptical Microrheology of Biopolymers
Optical Microrheology of Biopolymers Simon Parkin, Gregor Knöner, Timo A. Nieminen, Norman R. Heckenberg and Halina Rubinsztein-Dunlop Centre for Biophotonics and Laser Science, School of Physical Sciences,
More informationMicro-rheology of cells and soft matter with the NanoTracker
Micro-rheology of cells and soft matter with the NanoTracker Introduction In micro-rheological measurements, the complex deformation or flow of viscoelastic systems under small external forces is investigated.
More informationMicro-Rheology Measurements with the NanoTracker
Micro-Rheology Measurements with the NanoTracker JPK s NanoTracker optical tweezers system is a versatile high resolution force measurement tool. It is based on the principle of optical trapping and uses
More informationMOLECULAR MECHANICS OF CYTOSKELETAL COMPONENTS
MOLECULAR MECHANICS OF CYTOSKELETAL COMPONENTS M. Atakhorrami Vrije Universiteit Amsterdam, Dept. Phys. Amsterdam, The Netherlands K.M. Addas Rowland Institute at Harvard Cambridge, MA, USA M. Buchanan,
More informationRHEOLASER LAB MICRORHEOLOGY & END USE PROPERTIES ANALYSIS. MICRORHEOLOGY
RHEOLASER LAB & END USE PROPERTIES ANALYSIS A NEW RHEOLOGY APPROACH TO CHARACTERISE END-USE PROPERTIES THE FIRST READY TO USE & END-USE PROPERTIES ANALYSER Rheolaser Rheolaser is the first Lab ready-to-use
More informationNanorheology of regenerated silk fibroin solution
Bull. Mater. Sci., Vol. 31, No. 3, June 008, pp. 359 365. Indian Academy of Sciences. Nanorheology of regenerated silk fibroin solution A RAGHU and SHARATH ANANTHAMURTHY* Department of Physics, Bangalore
More informationDynamic Self Assembly of Magnetic Colloids
Institute of Physics, University of Bayreuth Advanced Practical Course in Physics Dynamic Self Assembly of Magnetic Colloids A. Ray and Th. M. Fischer 3 2012 Contents 1. Abstract 3 2. Introduction 3 3.
More informationPolymer Dynamics and Rheology
Polymer Dynamics and Rheology 1 Polymer Dynamics and Rheology Brownian motion Harmonic Oscillator Damped harmonic oscillator Elastic dumbbell model Boltzmann superposition principle Rubber elasticity and
More informationMeasurements and Models of Cytoskeletal Rheology
Measurements and Models of Cytoskeletal Rheology Roger D. Kamm MIT Department of Mechanical Engineering Department of Biological Engineering Acknowledgements: TaeYoon Kim, Hyunsuk Lee, Belinda Yap, Jeff
More informationSupplementary Information. SI Text 1: Derivation and assumptions of the effective temperature model
Supplementary Information SI Text 1: Derivation and assumptions of the effective temperature model We assume that the displacements of intracellular particles are due to passive thermal activity and active
More informationCorrelation of Two Coupled Particles in Viscoelastic Medium
Commun. Theor. Phys. (Beijing, China 46 (006 pp. 353 36 c International Academic Publishers Vol. 46, No., August 5, 006 Correlation of Two Coupled Particles in Viscoelastic Medium XIE Bai-Song,,,4 WU Hai-Cheng,,
More informationMicrorheology of concentrated DNA solutions using optical tweezers
Bull. Mater. Sci., Vol. 31, No. 3, June 2008, pp. 381 386. Indian Academy of Sciences. Microrheology of concentrated DNA solutions using optical tweezers ARUN S RAJKUMAR and B M JAFFAR ALI* Life Sciences
More informationGEM4 Summer School OpenCourseWare
GEM4 Summer School OpenCourseWare http://gem4.educommons.net/ http://www.gem4.org/ Lecture: Polymer Chains by Ju Li. Given August 16, 2006 during the GEM4 session at MIT in Cambridge, MA. Please use the
More informationCOMPLEX EFFECTS OF MOLECULAR TOPOLOGY, LENGTH AND CONCENTRATION ON MOLECULAR DYNAMICS IN ENTANGLED DNA BLENDS
COMPLEX EFFECTS OF MOLECULAR TOPOLOGY, LENGTH AND CONCENTRATION ON MOLECULAR DYNAMICS IN ENTANGLED DNA BLENDS Students Cole E. Chapman Kent Lee Dean Henze Collaborators Doug Smith (UCSD) Sachin Shanbhag
More informationViscoelasticity. Basic Notions & Examples. Formalism for Linear Viscoelasticity. Simple Models & Mechanical Analogies. Non-linear behavior
Viscoelasticity Basic Notions & Examples Formalism for Linear Viscoelasticity Simple Models & Mechanical Analogies Non-linear behavior Viscoelastic Behavior Generic Viscoelasticity: exhibition of both
More informationUntangling the Mechanics of Entangled Biopolymers
Untangling the Mechanics of Entangled Biopolymers Rae M. Robertson-Anderson Physics Department University of San Diego students/postdocs: Cole Chapman, PhD Tobias Falzone, PhD Stephanie Gorczyca, USD 16
More informationIn-depth analysis of viscoelastic properties thanks to Microrheology: non-contact rheology
In-depth analysis of viscoelastic properties thanks to Microrheology: non-contact rheology Application All domains dealing with soft materials (emulsions, suspensions, gels, foams, polymers, etc ) Objective
More informationActive microrheology: Brownian motion, strong forces and viscoelastic media
OR1394 DFG Research Unit Nonlinear Response to Probe Vitrification Active microrheology: Brownian motion, strong forces and viscoelastic media Matthias Fuchs Fachbereich Physik, Universität Konstanz New
More informationRheological properties of dilute polymer solutions determined by particle tracking microrheology and bulk rheometry
Korea-Australia Rheology Journal Vol. 22, No. 1, March 2010 pp. 11-19 Rheological properties of dilute polymer solutions determined by particle tracking microrheology and bulk rheometry Heekyoung Kang,
More informationMicrorheology: Basic Principles Translational and Rotational Motion of Probe Particles in Soft Materials
Translational and Rotational Motion of Probe Particles in Soft Materials Thomas G. Mason Department of Chemistry and Biochemistry Department of Physics and Astronomy California NanoSystems Institute 2006
More informationLecture 4: viscoelasticity and cell mechanics
Teaser movie: flexible robots! R. Shepherd, Whitesides group, Harvard 1 Lecture 4: viscoelasticity and cell mechanics S-RSI Physics Lectures: Soft Condensed Matter Physics Jacinta C. Conrad University
More informationNote: Please use the actual date you accessed this material in your citation.
MIT OpenCourseWare http://ocw.mit.edu 6.641 Electromagnetic Fields, Forces, and Motion, Spring 005 Please use the following citation format: Markus Zahn, 6.641 Electromagnetic Fields, Forces, and Motion,
More informationUniversity of Groningen
University of Groningen Nature-inspired microfluidic propulsion using magnetic actuation Khaderi, S. N.; Baltussen, M. G. H. M.; Anderson, P. D.; Ioan, D.; den Toonder, J.M.J.; Onck, Patrick Published
More information20.GEM GEM4 Summer School: Cell and Molecular Biomechanics in Medicine: Cancer Summer 2007
MIT OpenCourseWare http://ocw.mit.edu 20.GEM GEM4 Summer School: Cell and Molecular Biomechanics in Medicine: Cancer Summer 2007 For information about citing these materials or our Terms of Use, visit:
More informationPHYSICAL REVIEW E 73,
Correlated fluctuations of microparticles in viscoelastic solutions: Quantitative measurement of material properties by microrheology in the presence of optical traps M. Atakhorrami, 1 J. I. Sulkowska,
More informationActive Microrheology of Networks Composed of Semiflexible Polymers. I. Computer Simulation of Magnetic Tweezers. D Garching, Germany
Active Microrheology of Networks Composed of Semiflexible Polymers I. Computer Simulation of Magnetic Tweezers N. Ter-Oganessian*, D. A. Pink, B. Quinn, E. and A. Boulbitch* *Dept. for Biophysics E, Technical
More informationOptical Tweezers for Scanning Probe Microscopy
Optical Tweezers for Scanning Probe Microscopy Dr P H Jones Department of Physics and Astronomy UCL www.ucl.ac.uk/~ucapphj CoMPLEx ITPL course MSc Nanotechnology 07 October 2014 Contents 0. Introduction
More informationOptical Tweezers for Scanning Probe Microscopy
Optical Tweezers for Scanning Probe Microscopy Dr P H Jones Department of Physics and Astronomy UCL www.ucl.ac.uk/~ucapphj CoMPLEx ITPL course MSc Nanotechnology 09 October 2012 Contents 0. Introduction
More informationSingle-Molecule Micromanipulation Techniques
Annu. Rev. Mater. Res. 2007. 37:33 67 First published online as a Review in Advance on January 11, 2007 The Annual Review of Materials Research is online at http://matsci.annualreviews.org This article
More informationProject PAJ2 Dynamic Performance of Adhesively Bonded Joints. Report No. 3 August Proposed Draft for the Revision of ISO
NPL Report CMMT(A)81 Project PAJ2 Dynamic Performance of Adhesively Bonded Joints Report No. 3 August 1997 Proposed Draft for the Revision of ISO 11003-2 Adhesives - Determination of Shear Behaviour of
More informationExperimental Colloids I (and I)
Experimental Colloids I (and I) Dave Weitz Harvard http://www.seas.harvard.edu/projects/weitzlab Boulder Summer School 7/24/17 Experimental Colloids I (and I) Dave Weitz Harvard http://www.seas.harvard.edu/projects/weitzlab
More informationActive Stresses and Self-organization in Cytoskeletal Networks
Active Stresses and Self-organization in Cytoskeletal Networks Cytoskeleton: rich mechanics, dynamics and activity Mechanics: nonlinear elasticity, stiffening, anomalous stresses Active stresses and non-equilibrium
More informationMagnetic tweezers for intracellular applications
REVIEW OF SCIENTIFIC INSTRUMENTS VOLUME 74, NUMBER 9 SEPTEMBER 2003 Magnetic tweezers for intracellular applications Basarab G. Hosu and Károly Jakab Department of Physics, University of Missouri, Columbia,
More informationMicrorheology Using Dual Beam Optical Tweezers and Ultrasensitive Force Measurements
Microrheology Using Dual Beam Optical Tweezers and Ultrasensitive Force Measurements Gregor Knöner, Simon Parkin, Norman R. Heckenberg, and Halina Rubinsztein-Dunlop Centre for Biophotonics and Laser Science,
More informationUniversity Graz / Austria Institut für Chemie Volker Ribitsch
University Graz / Austria Institut für Chemie Volker Ribitsch 1 Rheology Oscillatory experiments Dynamic experiments Deformation of materials under non-steady conditions in the linear viscoelastic range
More informationHydrodynamics: Viscosity and Diffusion Hydrodynamics is the study of mechanics in a liquid, where the frictional drag of the liquid cannot be ignored
Hydrodynamics: Viscosity and Diffusion Hydrodynamics is the study of mechanics in a liquid, where the frictional drag of the liquid cannot be ignored First let s just consider fluid flow, where the fluid
More informationarxiv: v1 [cond-mat.soft] 24 Jul 2013
Connecting active and passive microrheology in living cells A. Dechant and E. Lutz, arxiv:307.6466v [cond-mat.soft] 4 Jul 03 Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 495 Berlin,
More informationScale-dependent non-affine elasticity of semiflexible polymer networks. FOM Institute AMOLF, 1098 XG Amsterdam, The Netherlands
1 Scale-dependent non-affine elasticity of semiflexible polymer networks M. Atakhorrami 1,4, G.H. Koenderink 2,4,, J.F. Palierne 3, F.C. MacKintosh 4, and C.F. Schmidt 4,5,* 1 present address : Home and
More informationHigh-frequency microrheology of wormlike micelles
High-frequency microrheology of wormlike micelles M. Buchanan, 1,2 M. Atakhorrami, 1 J. F. Palierne, 3 F. C. MacKintosh, 1 and C. F. Schmidt 1 1 Department of Physics and Astronomy, Vrije Universiteit
More informationMicro- and nanorheology
Ž. Current Opinion in Colloid & Interface Science 6 2001 423429 Micro- and nanorheology Ashis Mukhopadhyay, Steve Granick Department of Materials Science and Engineering, Uniersity of Illinois, Urbana,
More informationCompliance of actin filament networks measured by particle-tracking microrheology and diffusing wave spectroscopy
Rheol Acta 37:387 398 (1998) Steinkopff Verlag 1998 ORIGINAL CONTRIBUTION Jingyuan Xu Virgile Viasnoff Denis Wirtz Compliance of actin filament networks measured by particle-tracking microrheology and
More informationQuiz 1. Introduction to Polymers
100406 Quiz 1. Introduction to Polymers 1) Polymers are different than low-molecular weight oligomers. For example an oligomeric polyethylene is wax, oligomeric polystyrene is similar to naphthalene (moth
More informationNon contact measurement of viscoelastic properties of biopolymers
Non contact measurement of viscoelastic properties of biopolymers Christelle Tisserand, Anton Kotzev, Mathias Fleury, Laurent Brunel, Pascal Bru, Gérard Meunier Formulaction, 10 impasse Borde Basse, 31240
More informationChemical Engineering 160/260 Polymer Science and Engineering. Lecture 14: Amorphous State February 14, 2001
Chemical Engineering 160/260 Polymer Science and Engineering Lecture 14: Amorphous State February 14, 2001 Objectives! To provide guidance toward understanding why an amorphous polymer glass may be considered
More informationMixing at the External Boundary of a Submerged Turbulent Jet
Mixing at the External Boundary of a Submerged Turbulent Jet A. Eidelman, T. Elperin, N. Kleeorin, I. Rogachevskii, I. Sapir-Katiraie The Ben-Gurion University of the Negev, Beer-Sheva, Israel G. Hazak
More informationHaus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, ISBN:
MIT OpenCourseWare http://ocw.mit.edu Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207. Please use the following
More informationLecture 12: Biomaterials Characterization in Aqueous Environments
3.051J/20.340J 1 Lecture 12: Biomaterials Characterization in Aqueous Environments High vacuum techniques are important tools for characterizing surface composition, but do not yield information on surface
More informationCHAPTER 5 QUASI-STATIC TESTING OF LARGE-SCALE MR DAMPERS. To investigate the fundamental behavior of the 20-ton large-scale MR damper, a
CHAPTER 5 QUASI-STATIC TESTING OF LARGE-SCALE MR DAMPERS To investigate the fundamental behavior of the 2-ton large-scale MR damper, a series of quasi-static experiments were conducted at the Structural
More informationNonequilibrium transitions in glassy flows II. Peter Schall University of Amsterdam
Nonequilibrium transitions in glassy flows II Peter Schall University of Amsterdam Flow of glasses 1st Lecture Glass Phenomenology Basic concepts: Free volume, Dynamic correlations Apply Shear Glass? Soft
More informationCharacterisation Programme Polymer Multi-scale Properties Industrial Advisory Group 22 nd April 2008
Characterisation Programme 6-9 Polymer Multi-scale Properties Industrial Advisory Group nd April 8 SE: Improved Design and Manufacture of Polymeric Coatings Through the Provision of Dynamic Nano-indentation
More informationAN ABSTRACT OF THE THESIS OF
AN ABSTRACT OF THE THESIS OF Yating Mao for the degree of Master of Science in Chemical Engineering presented on September 1, 2017. Title: Transient Microrheological Characterization of Biogels Abstract
More informationTensorial generalized Stokes Einstein relation for anisotropic probe microrheology
Rheol Acta (010) 49:1165 1177 DOI 10.1007/s00397-010-0490-5 ORIGINAL CONTRIBUTION Tensorial generalized Stokes Einstein relation for anisotropic probe microrheology Todd M. Squires Thomas G. Mason Received:
More informationMSE 383, Unit 3-3. Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept.
Dynamic Mechanical Behavior MSE 383, Unit 3-3 Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept. Scope Why DMA & TTS? DMA Dynamic Mechanical Behavior (DMA) Superposition Principles
More informationPolymer dynamics. Course M6 Lecture 5 26/1/2004 (JAE) 5.1 Introduction. Diffusion of polymers in melts and dilute solution.
Course M6 Lecture 5 6//004 Polymer dynamics Diffusion of polymers in melts and dilute solution Dr James Elliott 5. Introduction So far, we have considered the static configurations and morphologies of
More informationMicrorheological Studies of Regenerated Silk Fibroin Solution by Video Microscopy
Microrheological Studies of Regenerated Silk Fibroin Solution by Video Microscopy Raghu A., 1 Somashekar R., 2 Sharath Ananthamurthy 1* 1 Department of Physics, Bangalore University, Jnanabharati, Bangalore
More informationMacromolecular Hydrodynamics Quiz Solutions. (i) To start, we recognize the following relationships on the stress and strain
Question 1 i To start, we recognize the following relationships on the stress and strain γ = γ k + γ 2 1 τ = G k γ k + μ k γ k = μ 2 γ 2 Therefore, the following relationships are also true γ = γ k + γ
More informationDiffusing-wave-spectroscopy measurements of viscoelasticity of complex fluids
Mason et al. Vol. 14, No. 1/January 1997/J. Opt. Soc. Am. A 139 Diffusing-wave-spectroscopy measurements of viscoelasticity of complex fluids T. G. Mason Department of Chemical Engineering, Johns Hopkins
More informationElasticity of biological gels
Seminar II Elasticity of biological gels Author: Gašper Gregorič Mentor: assoc. prof. Primož Ziherl Ljubljana, February 2014 Abstract In the seminar we discuss the elastic behavior of biological gels,
More informationTurbulent Mixing of Passive Tracers on Small Scales in a Channel Flow
Turbulent Mixing of Passive Tracers on Small Scales in a Channel Flow Victor Steinberg Department of Physics of Complex Systems, The Weizmann Institute of Science, Israel In collaboration with Y. Jun,
More informationLecture 7: Rheology and milli microfluidic
1 and milli microfluidic Introduction In this chapter, we come back to the notion of viscosity, introduced in its simplest form in the chapter 2. We saw that the deformation of a Newtonian fluid under
More informationViscoelasticity at Microscopic and Macroscopic Scales: Characterization and Prediction
Viscoelasticity at Microscopic and Macroscopic Scales: Characterization and Prediction by Lingxing Yao A dissertation submitted to the faculty of the University of North Carolina at Chapel Hill in partial
More informationXPCS and Shear Flow. Wesley Burghardt Department of Chemical & Biological Engineering Northwestern University
XPCS and Shear Flow Wesley Burghardt Department of Chemical & Biological Engineering Northwestern University Outline Background: XPCS & rheology XPCS during shear Unidirectional shear flow Oscillatory
More informationMicro-Flow in a bundle of micro-pillars. A. Keißner, Ch. Brücker
Micro-Flow in a bundle of micro-pillars A. Keißner, Ch. Brücker Institute of Mechanics and Fluid Dynamics, University of Freiberg, TU Freiberg, Germany, Email: armin.keissner@imfd.tu-freiberg.de Abstract
More informationModular Microscope Accessory
Modular Microscope Accessory Modular Microscope Accessory SAMPLE STRUCTURE OBSERVATION DHR MMA Key Features Compact, modular design that directly installs to the DHR frame for easy alignment and minimal
More informationPart III. Polymer Dynamics molecular models
Part III. Polymer Dynamics molecular models I. Unentangled polymer dynamics I.1 Diffusion of a small colloidal particle I.2 Diffusion of an unentangled polymer chain II. Entangled polymer dynamics II.1.
More informationarxiv: v4 [cond-mat.soft] 9 Nov 2010
arxiv:11.1211v4 [cond-mat.soft] 9 Nov 21 Real-time monitoring of complex moduli from micro-rheology Taiki Yanagishima 1, Daan Frenkel 2, Jurij Kotar 1,3, Erika Eiser 1 1 Cavendish Laboratory, University
More informationMeasuring structure of low viscosity fluids in oscillation using rheometers with and without a separate torque transducer
ANNUAL RANSACONS OF HE NORDC RHEOLOGY SOCEY, VOL., 003 Measuring structure of low viscosity fluids in oscillation using rheometers with and without a separate torque transducer Aly Franck A nstruments,
More informationModelling the Rheology of Semi-Concentrated Polymeric Composites
THALES Project No 1188 Modelling the Rheology of Semi-Concentrated Polymeric Composites Research Team Evan Mitsoulis (PI), Professor, NTUA, Greece Costas Papoulias (Research Student), NTUA, Greece Souzanna
More informationRheology of Soft Materials. Rheology
Τ Thomas G. Mason Department of Chemistry and Biochemistry Department of Physics and Astronomy California NanoSystems Institute Τ γ 26 by Thomas G. Mason All rights reserved. γ (t) τ (t) γ τ Δt 2π t γ
More informationElasticity of the human red blood cell skeleton
Biorheology 40 (2003) 247 251 247 IOS Press Elasticity of the human red blood cell skeleton G. Lenormand, S. Hénon, A. Richert, J. Siméon and F. Gallet Laboratoire de Biorhéologie et d Hydrodynamique Physico-Chimique,
More informationChapter 6: The Rouse Model. The Bead (friction factor) and Spring (Gaussian entropy) Molecular Model:
G. R. Strobl, Chapter 6 "The Physics of Polymers, 2'nd Ed." Springer, NY, (1997). R. B. Bird, R. C. Armstrong, O. Hassager, "Dynamics of Polymeric Liquids", Vol. 2, John Wiley and Sons (1977). M. Doi,
More informationTHE PHYSICS OF FOAM. Boulder School for Condensed Matter and Materials Physics. July 1-26, 2002: Physics of Soft Condensed Matter. 1.
THE PHYSICS OF FOAM Boulder School for Condensed Matter and Materials Physics July 1-26, 2002: Physics of Soft Condensed Matter 1. Introduction Formation Microscopics 2. Structure Experiment Simulation
More informationQuiz 1 Introduction to Polymers
090109 Quiz 1 Introduction to Polymers In class we discussed the definition of a polymer first by comparing polymers with metals and ceramics and then by noting certain properties of polymers that distinguish
More informationColloidal Suspension Rheology Chapter 1 Study Questions
Colloidal Suspension Rheology Chapter 1 Study Questions 1. What forces act on a single colloidal particle suspended in a flowing fluid? Discuss the dependence of these forces on particle radius. 2. What
More information738. Investigation of magneto-rheological fluid parameters using cantilever-type piezoactuator
738. Investigation of magneto-rheological fluid parameters using cantilever-type piezoactuator E. Dragašius 1, V. Jūrėnas 2, V. Mačiukienė 3, S. Navickaitė 4 Kaunas University of Technology, Kęstučio str.
More informationRouse chains, unentangled. entangled. Low Molecular Weight (M < M e ) chains shown moving past one another.
Physical Picture for Diffusion of Polymers Low Molecular Weight (M < M e ) chains shown moving past one another. Z X Y Rouse chains, unentangled Figure by MIT OCW. High Molecular weight (M > M e ) Entanglements
More informationRheological And Dielectric Characterization of Thermosetting Polymers. Jeffrey Gotro, Ph.D.
Rheological And Dielectric Characterization of Thermosetting Polymers Outline Introduction Oscillatory parallel plate rheometry Dynamic dielectric measurements Simultaneous dynamic mechanical/dielectric
More informationFlow of Glasses. Peter Schall University of Amsterdam
Flow of Glasses Peter Schall University of Amsterdam Liquid or Solid? Liquid or Solid? Example: Pitch Solid! 1 day 1 year Menkind 10-2 10 0 10 2 10 4 10 6 10 8 10 10 10 12 10 14 sec Time scale Liquid!
More informationComments on Use of Reference Fluid to Verify DSR
Comments on Use of Reference Fluid to Verify DSR David Anderson Professor Emeritus Penn State FHWA Asphalt Binder Expert Task Group Baton Rouge, LA September 16-17, 2014 Reference fluid how and why? Used
More informationVesicle micro-hydrodynamics
Vesicle micro-hydrodynamics Petia M. Vlahovska Max-Planck Institute of Colloids and Interfaces, Theory Division CM06 workshop I Membrane Protein Science and Engineering IPAM, UCLA, 27 march 2006 future
More informationNon-linear Viscoelasticity FINITE STRAIN EFFECTS IN SOLIDS
FINITE STRAIN EFFECTS IN SOLIDS Consider an elastic solid in shear: Shear Stress σ(γ) = Gγ If we apply a shear in the opposite direction: Shear Stress σ( γ) = Gγ = σ(γ) This means that the shear stress
More information3.032 Problem Set 4 Fall 2007 Due: Start of Lecture,
3.032 Problem Set 4 Fall 2007 Due: Start of Lecture, 10.19.07 1. A microelectronic sensor is to be made of conductive wires deposited on a thin Si wafer. During design considerations, it was decided that
More informationAdaptive Response of Actin Bundles under Mechanical Stress
Biophysical Journal, Volume 113 Supplemental Information Adaptive Response of Actin Bundles under Mechanical Stress Florian Rückerl, Martin Lenz, Timo Betz, John Manzi, Jean-Louis Martiel, Mahassine Safouane,
More information3.052 Nanomechanics of Materials and Biomaterials Thursday 02/15/07 Prof. C. Ortiz, MIT-DMSE I LECTURE 4: FORCE-DISTANCE CURVES
I LECTURE 4: FORCE-DISTANCE CURVES Outline : LAST TIME : ADDITIONAL NANOMECHANICS INSTRUMENTATION COMPONENTS... 2 PIEZOS TUBES : X/Y SCANNING... 3 GENERAL COMPONENTS OF A NANOMECHANICAL DEVICE... 4 HIGH
More informationarxiv: v1 [physics.optics] 1 Nov 2007
Preprint of: Simon J. Parkin, Gregor Knöner, Timo A. Nieminen, Norman R. Heckenberg and Halina Rubinsztein-Dunlop Picolitre viscometry using optically rotated particles Physical Review E 76(4), 4157 (7)
More informationThe Polymers Tug Back
Tugging at Polymers in Turbulent Flow The Polymers Tug Back Jean-Luc Thiffeault http://plasma.ap.columbia.edu/ jeanluc Department of Applied Physics and Applied Mathematics Columbia University Tugging
More informationNature Protocols: doi: /nprot Supplementary Figure 1
Supplementary Figure 1 Photographs of the 3D-MTC device and the confocal fluorescence microscopy. I: The system consists of a Leica SP8-Confocal microscope (with an option of STED), a confocal PC, a 3D-MTC
More informationPolymer Dynamics. Tom McLeish. (see Adv. Phys., 51, , (2002)) Durham University, UK
Polymer Dynamics Tom McLeish Durham University, UK (see Adv. Phys., 51, 1379-1527, (2002)) Boulder Summer School 2012: Polymers in Soft and Biological Matter Schedule Coarse-grained polymer physics Experimental
More informationCPGAN # 006. The Basics of Filament Stretching Rheometry
Introduction Measurement of the elongational behavior of fluids is important both for basic research purposes and in industrial applications, since many complex flows contain strong extensional components,
More informationDynamic Mechanical Analysis of Solid Polymers and Polymer Melts
Polymer Physics 2015 Matilda Larsson Dynamic Mechanical Analysis of Solid Polymers and Polymer Melts Polymer & Materials Chemistry Introduction Two common instruments for dynamic mechanical thermal analysis
More informationNetworks of filamentous actin (F-actin) are of great interest
Microrheometry of semiflexible actin networks through enforced single-filament reptation: Frictional coupling and heterogeneities in entangled networks M. A. Dichtl and E. Sackmann Lehrstuhl für Biophysik
More informationPolymers Reactions and Polymers Production (3 rd cycle)
EQ, Q, DEQuim, DQuim nd semester 017/018, IST-UL Science and Technology of Polymers ( nd cycle) Polymers Reactions and Polymers Production (3 rd cycle) Lecture 5 Viscosity easurements of the viscosity
More informationMicrostructural studies for rheology. Chapter 7: Microstructural studies for rheology. Separation of length scales. Micro & macro views
Chapter 7: Microstructural studies for rheology Microstructural studies for rheology To calculate the flow of complex fluids, need governing equations, in particular, the constitutive equation relating
More informationFeatures of static and dynamic friction profiles in one and two dimensions on polymer and atomically flat surfaces using atomic force microscopy
Features of static and dynamic friction profiles in one and two dimensions on polymer and atomically flat surfaces using atomic force microscopy Author Watson, Gregory, Watson, Jolanta Published 008 Journal
More informationMicrorheology and structure of a yield-stress polymer gel
Microrheology and structure of a yield-stress polymer gel Felix K. Oppong, 1,2 Laurent Rubatat, 3 Barbara J. Frisken, 3 Arthur E. Bailey, 3,4 and John R. de Bruyn 1,2 1 Department of Physics and Physical
More informationDissipative Particle Dynamics: Foundation, Evolution and Applications
Dissipative Particle Dynamics: Foundation, Evolution and Applications Lecture 4: DPD in soft matter and polymeric applications George Em Karniadakis Division of Applied Mathematics, Brown University &
More informationSupporting Information. Three-Dimensional Super-Resolution Imaging of Single Nanoparticle Delivered by Pipettes
Supporting Information Three-Dimensional Super-Resolution Imaging of Single Nanoparticle Delivered by Pipettes Yun Yu,, Vignesh Sundaresan,, Sabyasachi Bandyopadhyay, Yulun Zhang, Martin A. Edwards, Kim
More informationClassical Mechanics III (8.09) Fall 2014 Assignment 3
Classical Mechanics III (8.09) Fall 2014 Assignment 3 Massachusetts Institute of Technology Physics Department Due September 29, 2014 September 22, 2014 6:00pm Announcements This week we continue our discussion
More information