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We present a highly optimized implementation of a Monte Carlo (MC) simulator for the three-dimensional Ising spin-glass model with bimodal disorder, i.e., the 3D Edwards-Anderson model running on CUDA enabled GPUs. Multi-GPU systems…

无序系统与神经网络 · 物理学 2016-05-04 Matteo Lulli , Massimo Bernaschi , Giorgio Parisi

We propose a modified power method for computing the subdominant eigenvalue $\lambda_2$ of a matrix or continuous operator. Here we focus on defining simple Monte Carlo methods for its application. The methods presented use random walkers…

统计力学 · 物理学 2012-12-04 B. M. Rubenstein , J. E. Gubernatis , J. D. Doll

The effect of surface roughness on the structure of liquid crystalline fluids near solid substrates is studied by Monte Carlo simulations. The liquid crystal is modelled as a fluid of soft ellipsoidal molecules and the substrate is modelled…

软凝聚态物质 · 物理学 2009-11-11 David Cheung , Friederike Schmid

We present a fast, hierarchical, and adaptive algorithm for Metropolis Monte Carlo simulations of systems with long-range interactions that reproduces the dynamics of a standard implementation exactly, i.e., the generated configurations and…

计算物理 · 物理学 2023-07-27 Fabio Müller , Henrik Christiansen , Stefan Schnabel , Wolfhard Janke

An efficient Monte Carlo algorithm for the simulation of spin models with long-range interactions is discussed. Its central feature is that the number of operations required to flip a spin is independent of the number of interactions…

统计力学 · 物理学 2007-05-23 Erik Luijten

Current trends in parallel processors call for the design of efficient massively parallel algorithms for scientific computing. Parallel algorithms for Monte Carlo simulations of thermodynamic ensembles of particles have received little…

We explore two complementary modifications of the hybridization-expansion continuous-time Monte Carlo method, aiming at large multi-orbital quantum impurity problems. One idea is to compute the imaginary-time propagation using a matrix…

强关联电子 · 物理学 2014-07-01 Hiroshi Shinaoka , Michele Dolfi , Matthias Troyer , Philipp Werner

We present different methods to increase the performance of Hybrid Monte Carlo simulations of the Hubbard model in two-dimensions. Our simulations concentrate on a hexagonal lattice, though can be easily generalized to other lattices. It is…

强关联电子 · 物理学 2019-01-16 Stefan Krieg , Thomas Luu , Johann Ostmeyer , Philippos Papaphilippou , Carsten Urbach

Lattice spin models are useful for studying critical phenomena and allow the extraction of equilibrium and dynamical properties. Simulations of such systems are usually based on Monte Carlo (MC) techniques, and the main difficulty is often…

计算物理 · 物理学 2012-09-13 Tal Levy , Guy Cohen , Eran Rabani

We present Monte Carlo simulations of an ultra coarse-grained lipid bilayer with different number of lipids on both leaflets. In the simulations, we employ a new method for measuring the elastic parameters of the membrane, including the…

软凝聚态物质 · 物理学 2025-05-20 Oded Farago

Monte Carlo methods play an important role in scientific computation, especially when problems have a vast phase space. In this lecture an introduction to the Monte Carlo method is given. Concepts such as Markov chains, detailed balance,…

统计力学 · 物理学 2011-05-05 Helmut G. Katzgraber

Iso-surface extraction from an implicit field is a fundamental process in various applications of computer vision and graphics. When dealing with geometric shapes with complicated geometric details, many existing algorithms suffer from high…

计算机视觉与模式识别 · 计算机科学 2025-01-10 Daxuan Ren , Hezi Shi , Jianmin Zheng , Jianfei Cai

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

凝聚态物理 · 物理学 2009-10-28 Koji Hukushima , Koji Nemoto

This paper introduces novel method of simulation of lipid biomembranes based on Metropolis Hastings algorithm and Graphic Processing Unit computational power. Method gives up to 55 times computational boost in comparison to classical…

分布式、并行与集群计算 · 计算机科学 2013-09-18 M. Lis , L. Pintal

Spherical symmetry is ubiquitous in nature. It's therefore unfortunate that spherical system simulations are so hard, and require complete spheres with millions of interacting particles. Here we introduce an approach to model spherical…

材料科学 · 物理学 2011-10-07 Pekka Koskinen , Oleg O. Kit

We develop a generic strategy and simple numerical models for multi-component metallic glasses for which the swap Monte Carlo algorithm can produce highly stable equilibrium configurations equivalent to experimental systems cooled more than…

统计力学 · 物理学 2020-10-09 Anshul D. S. Parmar , Misaki Ozawa , Ludovic Berthier

In this work we present an efficient implementation of Canonical Monte Carlo simulation for Coulomb many body systems on graphics processing units (GPU). Our method takes advantage of the GPU Single Instruction, Multiple Data (SIMD)…

计算物理 · 物理学 2017-03-13 Yihao Liang , Xiangjun Xing , Yaohang Li

Markov Chain Monte Carlo methods are algorithms used to sample probability distributions, commonly used to sample the Boltzmann distribution of physical/chemical models (e.g., protein folding, Ising model, etc.). This allows us to study…

分布式、并行与集群计算 · 计算机科学 2025-12-04 Aingeru Ramos , Jose A Pascual , Javier Navaridas , Ivan Coluzza

We present the results of Monte Carlo simulations for the critical dynamics of the three-dimensional site-diluted quenched Ising model. Three different dynamics are considered, these correspond to the local update Metropolis scheme as well…

无序系统与神经网络 · 物理学 2008-11-26 D. Ivaneyko , J. Ilnytskyi , B. Berche , Yu. Holovatch

We study a generalized clock model on the simple cubic lattice. The parameter of the model can be tuned such that the amplitude of the leading correction to scaling vanishes. In the main part of the study we simulate the model with $Z_8$…

统计力学 · 物理学 2020-01-09 Martin Hasenbusch