Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice
|
|
- Lydia Manning
- 5 years ago
- Views:
Transcription
1 Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice Michal Borovský Department of Theoretical Physics and Astrophysics, University of P. J. Šafárik in Košice, Slovakia 18th November 2015 Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 1/30
2 Collaboration Dr. Martin Weigel (Applied Mathematics Research Centre, Coventry University, UK) Dr. Lev Yu. Barash (Landau Institute for Theoretical Physics, Chernogolovka, Russia) Dr. Milan Žukovič (UPJŠ, Košice, Slovakia) Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 2/30
3 Outline 1 Population annealing 2 GPU realization of PA 3 Stacked triangular Ising antiferromagnet 4 Results 5 Conclusions and perspective Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 3/30
4 Outline 1 Population annealing 2 GPU realization of PA 3 Stacked triangular Ising antiferromagnet 4 Results 5 Conclusions and perspective Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 4/30
5 Population annealing (PA) Introduction K. Hukushima and Y. Iba, Population Annealing and Its Application to a Spin Glass, AIP Conf. Proc. 690, 200 (2003). suitable for systems with rough free energy surfaces (spin glasses, frustrated spin systems, complex biomolecular systems, etc.) used as an alternative to parallel tempering combination of simulated annealing, population algorithms and sequential Monte Carlo method provides a good estimate of free energy Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 5/30
6 Population annealing Algorithm initialize population of R K replicas at β K+1 = 0 for β k from β K to β 0 with step β = β k β k+1 partition function ratio: Q k = 1 R βk+1 R βk+1 j 1 exp [ βe j ] for all replicas do: normalize weights: τ j = 1 Q k exp [ βe j ] ) ] resampling: create N [(R βk / R βk+1 τ j copies of replica (N [a] - Poisson random variate with mean value a) calculate new size of a population R βk equilibrate replicas for θ k Monte Carlo sweeps calculate observables and the free energy: β k F (β k ) = ln Ω + k ln Q l l=k Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 6/30
7 Outline 1 Population annealing 2 GPU realization of PA 3 Stacked triangular Ising antiferromagnet 4 Results 5 Conclusions and perspective Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 7/30
8 CPU vs. GPU Performance comparison 10 4 GPUs NVIDIA Tesla (fp32) peak performance in GFLOPS GPUs NVIDIA GeForce (fp32) GPUs NVIDIA Tesla (fp64) GPUs NVIDIA GeForce (fp64) CPUs Intel (fp32) CPUs Intel (fp64) year rok CPU - Intel GPU - NVIDIA GeForce GPU - NVIDIA Tesla 2004 Pentium 4 570J (3.8GHz) 6800 GT Core 2 Duo E6700 (2.66GHz) 7950 GT Core 2 Quad Q9400 (2.66GHz) 9800 GT (112 CUDA 600MHz) C870 (128@600MHz) 2010 Core i7-980 (3.33GHz) GTX 480 (448@607MHz) C2070 (448@575MHz) 2012 Core i7-3770k (3.5GHz) GTX 680 (1536@1006MHz) K20 (2496@706MHz) GTX 780 Ti (2880@875MHz) K40 (2880@705MHz) 2014 Core i7-4790k (4GHz) GTX Titan Z(5760@705MHz) K80 (4992@562MHz) GTX 980 (2048@1126MHz) Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 8/30
9 GPU CUDA architecture Schematic depiction M. Weigel, Journal of Computational Physics 231 (2012) Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 9/30
10 CUDA program GPU program: Host code - ANSI C Device code - ANSI C extended by keywords for kernels (parallel functions) and data structures NVIDIA C compiler (nvcc) Program execution: THREAD (WARP) BLOCK GRID SIMT - single instruction multiple threads Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 10/30
11 Parallelizing the PA algorithm 2 levels of parallelism: over replicas (τ i, Q) 1 thread = 1 replica over spins of each replica (MC update,e,m) 1 block of threads - 8x8x8 block-wise coalesced array of spin values; 1 block = 1 replica use of parallel reduction algorithm for summing over replicas/spin values/local energy contributions parallel generation of long sequences of pseudo-random numbers - curand Philox 4x32 10 (p = ) Boltzmann factor tabulation - texture memory Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 11/30
12 Outline 1 Population annealing 2 GPU realization of PA 3 Stacked triangular Ising antiferromagnet 4 Results 5 Conclusions and perspective Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 12/30
13 Stacked triangular Ising antiferromagnet Sublattice partition and hamiltonian J 1 J 2 H = J 1 S i S j J 2 S i S k Hamiltonian: i,j i,j Sublattice: S i = ±1... Ising spin variable J 1 < 0... antiferromagnetic intralayer (interchain) interaction J 2 < 0... antiferromagnetic interlayer (intrachain) interaction? Geometrical frustration: Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 13/30
14 Stacked triangular Ising antiferromagnet Kinetic freezing in a standard MCMC simulation R.R. Netz and A.N. Berker, Phys. Rev. Lett. 66, 377 (1991). E / N J 1 J 1 = J 2, 24x24x32 spins (L z = 32 layers), 10 5 MCMC sweeps (+20% for equilibration), o z = Lz ( 1) k S k, snapshot at k B T / J 1 = E / N J k= k T / J B C / N k B intrachain staggered magnetization o z Spin orientation in selected chain k T / J B 1 Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 14/30
15 Outline 1 Population annealing 2 GPU realization of PA 3 Stacked triangular Ising antiferromagnet 4 Results 5 Conclusions and perspective Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 15/30
16 MCMC and PA comparison GS energy and configuration J 1 = J 2, 24x24x32 spins (L z = 32 layers), snapshot at k B T / J 1 = 0.1 E / N J MCMC simulation GS energy PA, R = 10 4, θ = 10 2, β = 0.01 PA, R = 10 4, θ = 10 2, β = PA, R = 10 5, θ = 10 2, β = intrachain staggered magnetization o z k B T / J 1 Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 16/30
17 MCMC and PA comparison Family entropy W. Wang, J. Machta, and H. G. Katzgraber, Phys. Rev. E 92, (2015) Family entropy: S f = i ν i ln ν i ν i... fraction of the population with origin in the i-th replica e S f... effective number of surviving families equilibration requirement: e S f 100 (or S f 4.6) S f PA, R = 10 4, θ = 10 2, β = 0.01 PA, R = 10 4, θ = 10 2, β = PA, R = 10 5, θ = 10 2, β = k B T / J 1 Number of unique GS configurations: 171 (0.171% of the population size, e S f = ) 23 (0.23%, e S f = ) 32 (0.32%, e S f = ) Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 17/30
18 PA algorithm performance Nvidia GTX Titan 24x24x32 R = 10 3 R = 10 4 R = 10 5 θ t SF [ns] t SF [ns] t SF [ns] GPU memory used MB MB MB Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 18/30
19 Outline 1 Population annealing 2 GPU realization of PA 3 Stacked triangular Ising antiferromagnet 4 Results 5 Conclusions and perspective Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 19/30
20 Conclusions and perspective Conclusions: we created optimized parallel GPU program of the PA algorithm for the frustrated stacked triangular Ising antiferromagnet system reached GS (Wannier-like phase with antiferromagnetically ordered spin chains) even for relatively small R and θ equilibration criterion was not met in all simulations for a low-t region Perspective: choice of more effective high quality PRNG parallel resampling of replicas in the GPU global memory adaptive inverse temperature step β k - histogram overlap asynchronous multispin coding - bitwise operations multi-histogram reweighting Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 20/30
21 Thank you for your attention. Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 21/30
22 Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 22/30
23 Population annealing Weighted averaging J. Machta, Population annealing with weighted averages: A Monte Carlo method for rough free energy landscapes, Phys.Rev.E 82, (2010) for not sufficient values of parameters R k, β, θ k bias lets consider a set of the M independent runs of the algorithm with observables à r (β) and free energies F r (β) weighted averaging: Ā(β) = M à r (β)ω r (β), where ω r (β) = r=1 exp[ β F r (β)] M exp[ β F r (β)]. r=1 [ unbiased free energy: β F (β) = ln 1 M weighted averaging errors - bootstrapping M r=1 [ ] ] exp β F r (β) optimization - minimize Var( β F ) using the same computational resources Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 23/30
24 h > 0 GS configurations F ( ) h / J 1 8 Fi-(F-A) ( ) 6 4 Fi-A ( ) -1 J 2 / J Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 24/30
25 h > 0 Enthalpy per spin E / N J (c) k B T / J 1 enthalpy per spin h/ J 1 = k T / J B Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 25/30
26 h > 0 Heat capacity C / N k B (d) C / N k B h/ J 1 = k B T / J k T / J B 1 Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 26/30
27 h > 0 Total magnetization per spin m (a) m 1 h/ J = k T / J B k T / J B 1 Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 27/30
28 h > 0 Magnetic susceptibility χ (b) χ h/ J = k B T / J k T / J B 1 Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 28/30
29 h > 0 Ground state configurations h/ J 1 = 1 h/ J 1 = 4 o xy = (a) o xy = 1 (b) o~ z = 1 [o z (A), oz (B), oz (C) ] = [ , , ] o~ = 2/3 z [o z (A), oz (B), oz (C) ] = [ 32, 32, 0] h/ J 1 = 7 h/ J 1 = 7.5 o xy = 1 (c) o xy = 1 (d) o~ = 1/2 z o~ = 2/3 z (A) (B) (C) [o, oz, oz ] = [6, 24, 18] 24 z [o z (A), oz (B), oz (C) ] = [12, 20, 32] Michal Borovský Population annealing study of the frustrated Ising antiferromagnet on the stacked triangular lattice 29/30
30 h > 0 Ground state configurations - degeneracy Michal Borovský 1 Population annealing study2of the frustrated Ising antiferromagnet 3 on the stacked triangular 4lattice 30/30
Population annealing and large scale simulations in statistical mechanics
Population annealing and large scale simulations in statistical mechanics Lev Shchur 1,2[0000 0002 4191 1324], Lev Barash 1,3[0000 0002 2298 785X], Martin Weigel 4[0000 0002 0914 1147], and Wolfhard Janke
More informationPopulation Annealing: An Effective Monte Carlo Method for Rough Free Energy Landscapes
Population Annealing: An Effective Monte Carlo Method for Rough Free Energy Landscapes Jon Machta SFI WORKING PAPER: 21-7-12 SFI Working Papers contain accounts of scientific work of the author(s) and
More informationGPU accelerated population annealing algorithm
GPU accelerated population annealing algorithm Lev Yu. Barash a,b, Martin Weigel c, Michal Borovský b,d, Wolfhard Janke e, Lev N. Shchur a,b,f a Landau Institute for Theoretical Physics, 142432 Chernogolovka,
More informationTwo case studies of Monte Carlo simulation on GPU
Two case studies of Monte Carlo simulation on GPU National Institute for Computational Sciences University of Tennessee Seminar series on HPC, Feb. 27, 2014 Outline 1 Introduction 2 Discrete energy lattice
More informationIntroduction to numerical computations on the GPU
Introduction to numerical computations on the GPU Lucian Covaci http://lucian.covaci.org/cuda.pdf Tuesday 1 November 11 1 2 Outline: NVIDIA Tesla and Geforce video cards: architecture CUDA - C: programming
More informationGPU-based computation of the Monte Carlo simulation of classical spin systems
Perspectives of GPU Computing in Physics and Astrophysics, Sapienza University of Rome, Rome, Italy, September 15-17, 2014 GPU-based computation of the Monte Carlo simulation of classical spin systems
More informationarxiv: v1 [cond-mat.stat-mech] 19 Oct 2015
Critical behavior of a triangular lattice Ising AF/FM bilayer arxiv:1510.05383v1 [cond-mat.stat-mech] 19 Oct 2015 M. Žukovič, A. Bobák Department of Theoretical Physics and Astrophysics, Faculty of Science,
More informationarxiv: v1 [hep-lat] 7 Oct 2010
arxiv:.486v [hep-lat] 7 Oct 2 Nuno Cardoso CFTP, Instituto Superior Técnico E-mail: nunocardoso@cftp.ist.utl.pt Pedro Bicudo CFTP, Instituto Superior Técnico E-mail: bicudo@ist.utl.pt We discuss the CUDA
More informationHanoi 7/11/2018. Ngo Van Thanh, Institute of Physics, Hanoi, Vietnam.
Hanoi 7/11/2018 Ngo Van Thanh, Institute of Physics, Hanoi, Vietnam. Finite size effects and Reweighting methods 1. Finite size effects 2. Single histogram method 3. Multiple histogram method 4. Wang-Landau
More informationOptimized statistical ensembles for slowly equilibrating classical and quantum systems
Optimized statistical ensembles for slowly equilibrating classical and quantum systems IPAM, January 2009 Simon Trebst Microsoft Station Q University of California, Santa Barbara Collaborators: David Huse,
More informationGPU accelerated Monte Carlo simulations of lattice spin models
Available online at www.sciencedirect.com Physics Procedia 15 (2011) 92 96 GPU accelerated Monte Carlo simulations of lattice spin models M. Weigel, T. Yavors kii Institut für Physik, Johannes Gutenberg-Universität
More informationGPU Computing Activities in KISTI
International Advanced Research Workshop on High Performance Computing, Grids and Clouds 2010 June 21~June 25 2010, Cetraro, Italy HPC Infrastructure and GPU Computing Activities in KISTI Hongsuk Yi hsyi@kisti.re.kr
More informationScaling Theory. Roger Herrigel Advisor: Helmut Katzgraber
Scaling Theory Roger Herrigel Advisor: Helmut Katzgraber 7.4.2007 Outline The scaling hypothesis Critical exponents The scaling hypothesis Derivation of the scaling relations Heuristic explanation Kadanoff
More informationPhase Transitions in Spin Glasses
Phase Transitions in Spin Glasses Peter Young Talk available at http://physics.ucsc.edu/ peter/talks/sinica.pdf e-mail:peter@physics.ucsc.edu Supported by the Hierarchical Systems Research Foundation.
More informationCritical Dynamics of Two-Replica Cluster Algorithms
University of Massachusetts Amherst From the SelectedWorks of Jonathan Machta 2001 Critical Dynamics of Two-Replica Cluster Algorithms X. N. Li Jonathan Machta, University of Massachusetts Amherst Available
More informationarxiv: v1 [cond-mat.stat-mech] 22 Sep 2009
Phase diagram and critical behavior of the square-lattice Ising model with competing nearest- and next-nearest-neighbor interactions Junqi Yin and D. P. Landau Center for Simulational Physics, University
More informationWORLD SCIENTIFIC (2014)
WORLD SCIENTIFIC (2014) LIST OF PROBLEMS Chapter 1: Magnetism of Free Electrons and Atoms 1. Orbital and spin moments of an electron: Using the theory of angular momentum, calculate the orbital
More informationLecture 8: Computer Simulations of Generalized Ensembles
Lecture 8: Computer Simulations of Generalized Ensembles Bernd A. Berg Florida State University November 6, 2008 Bernd A. Berg (FSU) Generalized Ensembles November 6, 2008 1 / 33 Overview 1. Reweighting
More informationThe Lattice Boltzmann Method for Laminar and Turbulent Channel Flows
The Lattice Boltzmann Method for Laminar and Turbulent Channel Flows Vanja Zecevic, Michael Kirkpatrick and Steven Armfield Department of Aerospace Mechanical & Mechatronic Engineering The University of
More informationPlaquette Renormalized Tensor Network States: Application to Frustrated Systems
Workshop on QIS and QMP, Dec 20, 2009 Plaquette Renormalized Tensor Network States: Application to Frustrated Systems Ying-Jer Kao and Center for Quantum Science and Engineering Hsin-Chih Hsiao, Ji-Feng
More informationVSOP19, Quy Nhon 3-18/08/2013. Ngo Van Thanh, Institute of Physics, Hanoi, Vietnam.
VSOP19, Quy Nhon 3-18/08/2013 Ngo Van Thanh, Institute of Physics, Hanoi, Vietnam. Part III. Finite size effects and Reweighting methods III.1. Finite size effects III.2. Single histogram method III.3.
More informationImprovement of Monte Carlo estimates with covariance-optimized finite-size scaling at fixed phenomenological coupling
Improvement of Monte Carlo estimates with covariance-optimized finite-size scaling at fixed phenomenological coupling Francesco Parisen Toldin Max Planck Institute for Physics of Complex Systems Dresden
More informationMulticore Parallelization of Determinant Quantum Monte Carlo Simulations
Multicore Parallelization of Determinant Quantum Monte Carlo Simulations Andrés Tomás, Che-Rung Lee, Zhaojun Bai, Richard Scalettar UC Davis SIAM Conference on Computation Science & Engineering Reno, March
More informationHybrid CPU/GPU Acceleration of Detection of 2-SNP Epistatic Interactions in GWAS
Hybrid CPU/GPU Acceleration of Detection of 2-SNP Epistatic Interactions in GWAS Jorge González-Domínguez*, Bertil Schmidt*, Jan C. Kässens**, Lars Wienbrandt** *Parallel and Distributed Architectures
More informationMonte Carlo Methods for Rough Free Energy Landscapes: Population Annealing and Parallel Tempering. Abstract
Monte Carlo Methods for Rough Free Energy Landscapes: Population Annealing and Parallel Tempering J. Machta Physics Department, University of Massachusetts, Amherst, MA 01003 USA R. S. Ellis Department
More informationGraphical Representations and Cluster Algorithms
Graphical Representations and Cluster Algorithms Jon Machta University of Massachusetts Amherst Newton Institute, March 27, 2008 Outline Introduction to graphical representations and cluster algorithms
More informationParallel Tempering Algorithm in Monte Carlo Simulation
Parallel Tempering Algorithm in Monte Carlo Simulation Tony Cheung (CUHK) Kevin Zhao (CUHK) Mentors: Ying Wai Li (ORNL) Markus Eisenbach (ORNL) Kwai Wong (UTK/ORNL) Metropolis Algorithm on Ising Model
More informationMultiphase Flow Simulations in Inclined Tubes with Lattice Boltzmann Method on GPU
Multiphase Flow Simulations in Inclined Tubes with Lattice Boltzmann Method on GPU Khramtsov D.P., Nekrasov D.A., Pokusaev B.G. Department of Thermodynamics, Thermal Engineering and Energy Saving Technologies,
More informationarxiv: v1 [cond-mat.stat-mech] 13 Mar 2019
XY model with antinematic interaction Milan Žukovič arxiv:93.5586v [cond-mat.stat-mech] 3 Mar 29 Institute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 4 54 Košice, Slovakia
More informationJanus: FPGA Based System for Scientific Computing Filippo Mantovani
Janus: FPGA Based System for Scientific Computing Filippo Mantovani Physics Department Università degli Studi di Ferrara Ferrara, 28/09/2009 Overview: 1. The physical problem: - Ising model and Spin Glass
More informationAPPLICATION OF CUDA TECHNOLOGY FOR CALCULATION OF GROUND STATES OF FEW-BODY NUCLEI BY FEYNMAN'S CONTINUAL INTEGRALS METHOD
APPLICATION OF CUDA TECHNOLOGY FOR CALCULATION OF GROUND STATES OF FEW-BODY NUCLEI BY FEYNMAN'S CONTINUAL INTEGRALS METHOD M.A. Naumenko, V.V. Samarin Joint Institute for Nuclear Research, Dubna, Russia
More informationLecture V: Multicanonical Simulations.
Lecture V: Multicanonical Simulations. 1. Multicanonical Ensemble 2. How to get the Weights? 3. Example Runs (2d Ising and Potts models) 4. Re-Weighting to the Canonical Ensemble 5. Energy and Specific
More informationJ ij S i S j B i S i (1)
LECTURE 18 The Ising Model (References: Kerson Huang, Statistical Mechanics, Wiley and Sons (1963) and Colin Thompson, Mathematical Statistical Mechanics, Princeton Univ. Press (1972)). One of the simplest
More informationMonte Carlo study of the Baxter-Wu model
Monte Carlo study of the Baxter-Wu model Nir Schreiber and Dr. Joan Adler Monte Carlo study of the Baxter-Wu model p.1/40 Outline Theory of phase transitions, Monte Carlo simulations and finite size scaling
More informationarxiv: v3 [cond-mat.stat-mech] 9 Mar 2012
arxiv:1101.0876v3 [cond-mat.stat-mech] 9 Mar 2012 q-state Potts model metastability study using optimized GPU-based Monte Carlo algorithms Ezequiel E. Ferrero a, Juan Pablo De Francesco b, Nicolás Wolovick
More informationPhase Transitions in Spin Glasses
p.1 Phase Transitions in Spin Glasses Peter Young http://physics.ucsc.edu/ peter/talks/bifi2008.pdf e-mail:peter@physics.ucsc.edu Work supported by the and the Hierarchical Systems Research Foundation.
More informationarxiv: v3 [cond-mat.dis-nn] 23 Nov 2018
Optimization of population annealing Monte Carlo for large-scale spin-glass simulations Amin Barzegar,, Christopher Pattison,, Wenlong Wang,,,, and Helmut G. Katzgraber Department of Physics and Astronomy,
More informationIs the Sherrington-Kirkpatrick Model relevant for real spin glasses?
Is the Sherrington-Kirkpatrick Model relevant for real spin glasses? A. P. Young Department of Physics, University of California, Santa Cruz, California 95064 E-mail: peter@physics.ucsc.edu Abstract. I
More informationResearch on GPU-accelerated algorithm in 3D finite difference neutron diffusion calculation method
NUCLEAR SCIENCE AND TECHNIQUES 25, 0501 (14) Research on GPU-accelerated algorithm in 3D finite difference neutron diffusion calculation method XU Qi ( 徐琪 ), 1, YU Gang-Lin ( 余纲林 ), 1 WANG Kan ( 王侃 ),
More informationarxiv: v1 [physics.comp-ph] 27 Sep 2018
Comparison of diluted antiferromagnetic Ising models on frustrated lattices in a magnetic field arxiv:89.278v [physics.comp-ph] 27 Sep 28 Konstantin Soldatov,2, Alexey Peretyatko, Konstantin Nefedev,2,
More informationJulian Merten. GPU Computing and Alternative Architecture
Future Directions of Cosmological Simulations / Edinburgh 1 / 16 Julian Merten GPU Computing and Alternative Architecture Institut für Theoretische Astrophysik Zentrum für Astronomie Universität Heidelberg
More informationarxiv: v1 [cond-mat.dis-nn] 25 Apr 2018
arxiv:1804.09453v1 [cond-mat.dis-nn] 25 Apr 2018 Critical properties of the antiferromagnetic Ising model on rewired square lattices Tasrief Surungan 1, Bansawang BJ 1 and Muhammad Yusuf 2 1 Department
More informationAdvanced sampling. fluids of strongly orientation-dependent interactions (e.g., dipoles, hydrogen bonds)
Advanced sampling ChE210D Today's lecture: methods for facilitating equilibration and sampling in complex, frustrated, or slow-evolving systems Difficult-to-simulate systems Practically speaking, one is
More informationSIMULATION OF ISING SPIN MODEL USING CUDA
SIMULATION OF ISING SPIN MODEL USING CUDA MIRO JURIŠIĆ Supervisor: dr.sc. Dejan Vinković Split, November 2011 Master Thesis in Physics Department of Physics Faculty of Natural Sciences and Mathematics
More informationMarkov Chain Monte Carlo Simulations and Their Statistical Analysis An Overview
Markov Chain Monte Carlo Simulations and Their Statistical Analysis An Overview Bernd Berg FSU, August 30, 2005 Content 1. Statistics as needed 2. Markov Chain Monte Carlo (MC) 3. Statistical Analysis
More informationMonte Caro simulations
Monte Caro simulations Monte Carlo methods - based on random numbers Stanislav Ulam s terminology - his uncle frequented the Casino in Monte Carlo Random (pseudo random) number generator on the computer
More informationBeam dynamics calculation
September 6 Beam dynamics calculation S.B. Vorozhtsov, Е.Е. Perepelkin and V.L. Smirnov Dubna, JINR http://parallel-compute.com Outline Problem formulation Numerical methods OpenMP and CUDA realization
More informationReal-time signal detection for pulsars and radio transients using GPUs
Real-time signal detection for pulsars and radio transients using GPUs W. Armour, M. Giles, A. Karastergiou and C. Williams. University of Oxford. 15 th July 2013 1 Background of GPUs Why use GPUs? Influence
More informationMulticanonical methods
Multicanonical methods Normal Monte Carlo algorithms sample configurations with the Boltzmann weight p exp( βe). Sometimes this is not desirable. Example: if a system has a first order phase transitions
More informationA Massively Parallel Eigenvalue Solver for Small Matrices on Multicore and Manycore Architectures
A Massively Parallel Eigenvalue Solver for Small Matrices on Multicore and Manycore Architectures Manfred Liebmann Technische Universität München Chair of Optimal Control Center for Mathematical Sciences,
More informationSolving RODEs on GPU clusters
HIGH TEA @ SCIENCE Solving RODEs on GPU clusters Christoph Riesinger Technische Universität München March 4, 206 HIGH TEA @ SCIENCE, March 4, 206 Motivation - Parallel Computing HIGH TEA @ SCIENCE, March
More informationCalculation of ground states of few-body nuclei using NVIDIA CUDA technology
Calculation of ground states of few-body nuclei using NVIDIA CUDA technology M. A. Naumenko 1,a, V. V. Samarin 1, 1 Flerov Laboratory of Nuclear Reactions, Joint Institute for Nuclear Research, 6 Joliot-Curie
More informationEfficiency of Parallel Tempering for Ising Systems
University of Massachusetts Amherst ScholarWorks@UMass Amherst Masters Theses 1911 - February 2014 2010 Efficiency of Parallel Tempering for Ising Systems Stephan Burkhardt University of Massachusetts
More informationObservation of topological phenomena in a programmable lattice of 1800 superconducting qubits
Observation of topological phenomena in a programmable lattice of 18 superconducting qubits Andrew D. King Qubits North America 218 Nature 56 456 46, 218 Interdisciplinary teamwork Theory Simulation QA
More informationMeasuring freeze-out parameters on the Bielefeld GPU cluster
Measuring freeze-out parameters on the Bielefeld GPU cluster Outline Fluctuations and the QCD phase diagram Fluctuations from Lattice QCD The Bielefeld hybrid GPU cluster Freeze-out conditions from QCD
More informationEquilibrium Study of Spin-Glass Models: Monte Carlo Simulation and Multi-variate Analysis. Koji Hukushima
Equilibrium Study of Spin-Glass Models: Monte Carlo Simulation and Multi-variate Analysis Koji Hukushima Department of Basic Science, University of Tokyo mailto:hukusima@phys.c.u-tokyo.ac.jp July 11 15,
More informationA CUDA Solver for Helmholtz Equation
Journal of Computational Information Systems 11: 24 (2015) 7805 7812 Available at http://www.jofcis.com A CUDA Solver for Helmholtz Equation Mingming REN 1,2,, Xiaoguang LIU 1,2, Gang WANG 1,2 1 College
More informationQuantum spin systems - models and computational methods
Summer School on Computational Statistical Physics August 4-11, 2010, NCCU, Taipei, Taiwan Quantum spin systems - models and computational methods Anders W. Sandvik, Boston University Lecture outline Introduction
More informationSurface effects in frustrated magnetic materials: phase transition and spin resistivity
Surface effects in frustrated magnetic materials: phase transition and spin resistivity H T Diep (lptm, ucp) in collaboration with Yann Magnin, V. T. Ngo, K. Akabli Plan: I. Introduction II. Surface spin-waves,
More informationSparse LU Factorization on GPUs for Accelerating SPICE Simulation
Nano-scale Integrated Circuit and System (NICS) Laboratory Sparse LU Factorization on GPUs for Accelerating SPICE Simulation Xiaoming Chen PhD Candidate Department of Electronic Engineering Tsinghua University,
More informationMOLECULAR DYNAMIC SIMULATION OF WATER VAPOR INTERACTION WITH VARIOUS TYPES OF PORES USING HYBRID COMPUTING STRUCTURES
MOLECULAR DYNAMIC SIMULATION OF WATER VAPOR INTERACTION WITH VARIOUS TYPES OF PORES USING HYBRID COMPUTING STRUCTURES V.V. Korenkov 1,3, a, E.G. Nikonov 1, b, M. Popovičová 2, с 1 Joint Institute for Nuclear
More informationAvailable online at ScienceDirect. Procedia Engineering 61 (2013 ) 94 99
Available online at www.sciencedirect.com ScienceDirect Procedia Engineering 6 (203 ) 94 99 Parallel Computational Fluid Dynamics Conference (ParCFD203) Simulations of three-dimensional cavity flows with
More informationIsing model: Measurements. Simulating spin models on GPU Lecture 4: Advanced Techniques. Ising model: Measurements (cont d)
Simulating spin models on GPU Lecture 4: Advanced Techniques Martin Weigel Applied Mathematics Research Centre, Coventry University, Coventry, United Kingdom and Institut für Physik, Johannes Gutenberg-Universität
More informationA Quantum Chemistry Domain-Specific Language for Heterogeneous Clusters
A Quantum Chemistry Domain-Specific Language for Heterogeneous Clusters ANTONINO TUMEO, ORESTE VILLA Collaborators: Karol Kowalski, Sriram Krishnamoorthy, Wenjing Ma, Simone Secchi May 15, 2012 1 Outline!
More informationUsing a CUDA-Accelerated PGAS Model on a GPU Cluster for Bioinformatics
Using a CUDA-Accelerated PGAS Model on a GPU Cluster for Bioinformatics Jorge González-Domínguez Parallel and Distributed Architectures Group Johannes Gutenberg University of Mainz, Germany j.gonzalez@uni-mainz.de
More informationExplore Computational Power of GPU in Electromagnetics and Micromagnetics
Explore Computational Power of GPU in Electromagnetics and Micromagnetics Presenter: Sidi Fu, PhD candidate, UC San Diego Advisor: Prof. Vitaliy Lomakin Center of Magnetic Recording Research, Department
More informationSpin liquids in frustrated magnets
May 20, 2010 Contents 1 Frustration 2 3 4 Exotic excitations 5 Frustration The presence of competing forces that cannot be simultaneously satisfied. Heisenberg-Hamiltonian H = 1 J ij S i S j 2 ij The ground
More informationGeneralized Ensembles: Multicanonical Simulations
Generalized Ensembles: Multicanonical Simulations 1. Multicanonical Ensemble 2. How to get the Weights? 3. Example Runs and Re-Weighting to the Canonical Ensemble 4. Energy and Specific Heat Calculation
More informationAccelerating Linear Algebra on Heterogeneous Architectures of Multicore and GPUs using MAGMA and DPLASMA and StarPU Schedulers
UT College of Engineering Tutorial Accelerating Linear Algebra on Heterogeneous Architectures of Multicore and GPUs using MAGMA and DPLASMA and StarPU Schedulers Stan Tomov 1, George Bosilca 1, and Cédric
More informationRare Event Sampling using Multicanonical Monte Carlo
Rare Event Sampling using Multicanonical Monte Carlo Yukito IBA The Institute of Statistical Mathematics This is my 3rd oversea trip; two of the three is to Australia. Now I (almost) overcome airplane
More informationClaude Tadonki. MINES ParisTech PSL Research University Centre de Recherche Informatique
Claude Tadonki MINES ParisTech PSL Research University Centre de Recherche Informatique claude.tadonki@mines-paristech.fr Monthly CRI Seminar MINES ParisTech - CRI June 06, 2016, Fontainebleau (France)
More informationNETADIS Kick off meeting. Torino,3-6 february Payal Tyagi
NETADIS Kick off meeting Torino,3-6 february 2013 Payal Tyagi Outline My background Project: 1) Theoretical part a) Haus master equation and Hamiltonian b) First steps: - Modelling systems with disordered
More informationGraphics Card Computing for Materials Modelling
Graphics Card Computing for Materials Modelling Case study: Analytic Bond Order Potentials B. Seiser, T. Hammerschmidt, R. Drautz, D. Pettifor Funded by EPSRC within the collaborative multi-scale project
More informationQuantum Annealing in spin glasses and quantum computing Anders W Sandvik, Boston University
PY502, Computational Physics, December 12, 2017 Quantum Annealing in spin glasses and quantum computing Anders W Sandvik, Boston University Advancing Research in Basic Science and Mathematics Example:
More informationDirect Self-Consistent Field Computations on GPU Clusters
Direct Self-Consistent Field Computations on GPU Clusters Guochun Shi, Volodymyr Kindratenko National Center for Supercomputing Applications University of Illinois at UrbanaChampaign Ivan Ufimtsev, Todd
More informationMetropolis Monte Carlo simulation of the Ising Model
Metropolis Monte Carlo simulation of the Ising Model Krishna Shrinivas (CH10B026) Swaroop Ramaswamy (CH10B068) May 10, 2013 Modelling and Simulation of Particulate Processes (CH5012) Introduction The Ising
More informationPotts And XY, Together At Last
Potts And XY, Together At Last Daniel Kolodrubetz Massachusetts Institute of Technology, Center for Theoretical Physics (Dated: May 16, 212) We investigate the behavior of an XY model coupled multiplicatively
More informationFrustrated diamond lattice antiferromagnets
Frustrated diamond lattice antiferromagnets ason Alicea (Caltech) Doron Bergman (Yale) Leon Balents (UCSB) Emanuel Gull (ETH Zurich) Simon Trebst (Station Q) Bergman et al., Nature Physics 3, 487 (007).
More informationLattice Boltzmann simulations on heterogeneous CPU-GPU clusters
Lattice Boltzmann simulations on heterogeneous CPU-GPU clusters H. Köstler 2nd International Symposium Computer Simulations on GPU Freudenstadt, 29.05.2013 1 Contents Motivation walberla software concepts
More informationCRYPTOGRAPHIC COMPUTING
CRYPTOGRAPHIC COMPUTING ON GPU Chen Mou Cheng Dept. Electrical Engineering g National Taiwan University January 16, 2009 COLLABORATORS Daniel Bernstein, UIC, USA Tien Ren Chen, Army Tanja Lange, TU Eindhoven,
More informationarxiv: v1 [cond-mat.dis-nn] 23 Apr 2008
lack of monotonicity in spin glass correlation functions arxiv:0804.3691v1 [cond-mat.dis-nn] 23 Apr 2008 Pierluigi Contucci, Francesco Unguendoli, Cecilia Vernia, Dipartimento di Matematica, Università
More informationPhase Transitions of Random Binary Magnetic Square Lattice Ising Systems
I. Q. Sikakana Department of Physics and Non-Destructive Testing, Vaal University of Technology, Vanderbijlpark, 1900, South Africa e-mail: ike@vut.ac.za Abstract Binary magnetic square lattice Ising system
More informationPhysics 115/242 Monte Carlo simulations in Statistical Physics
Physics 115/242 Monte Carlo simulations in Statistical Physics Peter Young (Dated: May 12, 2007) For additional information on the statistical Physics part of this handout, the first two sections, I strongly
More informationPopulation Annealing Monte Carlo Studies of Ising Spin Glasses
University of Massachusetts Amherst ScholarWorks@UMass Amherst Doctoral Dissertations Dissertations and Theses 2015 Population Annealing Monte Carlo Studies of Ising Spin Glasses wenlong wang wenlong@physics.umass.edu
More informationGPU acceleration of Newton s method for large systems of polynomial equations in double double and quad double arithmetic
GPU acceleration of Newton s method for large systems of polynomial equations in double double and quad double arithmetic Jan Verschelde joint work with Xiangcheng Yu University of Illinois at Chicago
More informationThree examples of a Practical Exact Markov Chain Sampling
Three examples of a Practical Exact Markov Chain Sampling Zdravko Botev November 2007 Abstract We present three examples of exact sampling from complex multidimensional densities using Markov Chain theory
More informationStacked Triangular XY Antiferromagnets: End of a Controversial Issue on the Phase Transition
Stacked Triangular XY Antiferromagnets: End of a Controversial Issue on the Phase Transition V. Thanh Ngo, H. T. Diep To cite this version: V. Thanh Ngo, H. T. Diep. Stacked Triangular XY Antiferromagnets:
More informationarxiv: v1 [cond-mat.str-el] 22 Sep 2016
arxiv:1609.07191v1 [cond-mat.str-el] 22 Sep 2016 Simulated floating zone method Ryo Ozawa, Yasuyuki Kato, and Yukitoshi Motome Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan
More informationParallelism of MRT Lattice Boltzmann Method based on Multi-GPUs
Parallelism of MRT Lattice Boltzmann Method based on Multi-GPUs 1 School of Information Engineering, China University of Geosciences (Beijing) Beijing, 100083, China E-mail: Yaolk1119@icloud.com Ailan
More informationGPU Based Parallel Ising Computing for Combinatorial Optimization Problems in VLSI Physical Design
1 GPU Based Parallel Ising Computing for Combinatorial Optimization Problems in VLSI Physical Design arxiv:1807.10750v1 [physics.comp-ph] 27 Jul 2018 Chase Cook Student Member, IEEE, Hengyang Zhao Student
More informationHexagonal-Close-Packed Lattice: Phase Transition and Spin Transport
Hexagonal-Close-Packed Lattice: Phase ransition and Spin ransport Danh-ai Hoang, Hung he Diep o cite this version: Danh-ai Hoang, Hung he Diep. Hexagonal-Close-Packed Lattice: Phase ransition and Spin
More informationarxiv: v1 [cond-mat.dis-nn] 13 Oct 2015
Search for the Heisenberg spin glass on rewired square lattices with antiferromagnetic interaction arxiv:1510.03825v1 [cond-mat.dis-nn] 13 Oct 2015 asrief Surungan, Bansawang BJ, and Dahlang ahir Department
More information8 Error analysis: jackknife & bootstrap
8 Error analysis: jackknife & bootstrap As discussed before, it is no problem to calculate the expectation values and statistical error estimates of normal observables from Monte Carlo. However, often
More informationIs there a de Almeida-Thouless line in finite-dimensional spin glasses? (and why you should care)
Is there a de Almeida-Thouless line in finite-dimensional spin glasses? (and why you should care) Peter Young Talk at MPIPKS, September 12, 2013 Available on the web at http://physics.ucsc.edu/~peter/talks/mpipks.pdf
More informationSimulated Quantum Annealing For General Ising Models
Simulated Quantum Annealing For General Ising Models Thomas Neuhaus Jülich Supercomputing Centre, JSC Forschungszentrum Jülich Jülich, Germany e-mail : t.neuhaus@fz-juelich.de November 23 On the Talk Quantum
More information3.320: Lecture 19 (4/14/05) Free Energies and physical Coarse-graining. ,T) + < σ > dµ
3.320: Lecture 19 (4/14/05) F(µ,T) = F(µ ref,t) + < σ > dµ µ µ ref Free Energies and physical Coarse-graining T S(T) = S(T ref ) + T T ref C V T dt Non-Boltzmann sampling and Umbrella sampling Simple
More informationFirst, a look at using OpenACC on WRF subroutine advance_w dynamics routine
First, a look at using OpenACC on WRF subroutine advance_w dynamics routine Second, an estimate of WRF multi-node performance on Cray XK6 with GPU accelerators Based on performance of WRF kernels, what
More informationDynamics and Thermodynamics of Artificial Spin Ices - and the Role of Monopoles
Dynamics and Thermodynamics of Artificial Spin Ices - and the Role of Monopoles Gunnar Möller Cavendish Laboratory University of Cambridge Roderich Moessner Max Planck Institute for the Physics of Complex
More informationInvaded cluster dynamics for frustrated models
PHYSICAL REVIEW E VOLUME 57, NUMBER 1 JANUARY 1998 Invaded cluster dynamics for frustrated models Giancarlo Franzese, 1, * Vittorio Cataudella, 1, * and Antonio Coniglio 1,2, * 1 INFM, Unità di Napoli,
More informationMulticanonical parallel tempering
JOURNAL OF CHEMICAL PHYSICS VOLUME 116, NUMBER 13 1 APRIL 2002 Multicanonical parallel tempering Roland Faller, Qiliang Yan, and Juan J. de Pablo Department of Chemical Engineering, University of Wisconsin,
More information