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We created an efficient algorithm suitable for graphics processing units (GPUs) to perform Monte Carlo simulations of a subset of reaction-diffusion models. The algorithm uses techniques that are specific to GPU programming, and combines…

Computational Physics · Physics 2013-03-06 R. D. Schram

We study the phase diagram of the double exchange model, with antiferromagnetic interactions, in a cubic lattice both at zero and at finite temperature. There is a rich variety of magnetic phases, combined with regions where phase…

Strongly Correlated Electrons · Physics 2009-11-07 J. L. Alonso , J. A. Capitan , L. A. Fernandez , F. Guinea , V. Martin-Mayor

We developed a replica exchange method that is effectively parallelizable even if the computational cost of the Monte Carlo moves in the parallel replicas are considerably different, for instance, because the replicas run on different type…

Computational Physics · Physics 2023-01-11 Sander Roet , Daniel T. Zhang , Titus S. van Erp

By using Monte Carlo simulation on a ferromagnetic core/antiferromagnetic shell nanoparticle, we investigate in details the exchange bias of the magnetic hysteresis as a function of both core radius and shell thickness, at low temperature.…

Materials Science · Physics 2007-05-23 M. H. Wu , Q. C. Li , J. M. Liu

Monte Carlo algorithms are frequently used in atomistic simulations, including for computation of magnetic parameter temperature dependences in multiscale simulations. Even though parallelization strategies for Monte Carlo simulations of…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Serban Lepadatu , George McKenzie , Tim Mercer , Callum Robert MacKinnon , Philip Raymond Bissell

We extend replica exchange simulation in two ways, and apply our approaches to biomolecules. The first generalization permits exchange simulation between models of differing resolution -- i.e., between detailed and coarse-grained models.…

Biomolecules · Quantitative Biology 2009-11-11 Edward Lyman , F. Marty Ytreberg , Daniel M. Zuckerman

We congratulate Samuel Kou, Qing Zhou and Wing Wong [math.ST/0507080] (referred to subsequently as KZW) for this beautifully written paper, which opens a new direction in Monte Carlo computation. This discussion has two parts. First, we…

Statistics Theory · Mathematics 2016-08-16 Yves F. Atchadé , Jun S. Liu

These are lecture notes of a course that I gave to people doing research for their Ph.D. thesis in theoretical chemistry or spectroscopy. The course was given on December 9-13, 2002, in Han-sur-Lesse, Belgium. The lecture notes start with…

Statistical Mechanics · Physics 2007-05-23 A. P. J. Jansen

We study the improvement of simulations of QCD with dynamical Wilson fermions by combining the Hybrid Monte Carlo algorithm with parallel tempering. As an indicator for decorrelation we use the topological charge.

High Energy Physics - Lattice · Physics 2015-06-25 E. -M. Ilgenfritz , Werner Kerler , H. Stüben

We have developed a new simulation algorithm for free-energy calculations. The method is a multidimensional extension of the replica-exchange method. While pairs of replicas with different temperatures are exchanged during the simulation in…

Statistical Mechanics · Physics 2009-10-31 Yuji Sugita , Akio Kitao , Yuko Okamoto

Metastability is a formidable challenge to Markov chain Monte Carlo methods. In this paper we present methods for algorithm design to meet this challenge. The design problem we consider is temperature selection for the infinite swapping…

Probability · Mathematics 2020-11-12 Paul Dupuis , Guo-Jhen Wu

This write-up describes an efficient numerical method for the Monte Carlo calculation of the spectral density of current in the multi-junction single-electron devices and hopping structures. In future we plan to expand this write-up into a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Viktor A. Sverdlov , Yusuf A. Kinkhabwala , Alexander N. Korotkov

In engineering, it is a common desire to couple existing simulation tools together into one big system by passing information from subsystems as parameters into the subsystems under influence. As executed at fixed time points, this data…

Numerical Analysis · Mathematics 2017-04-25 Thilo Moshagen

This posting addresses the incorrect information (about my papers) and analysis provided in the following articles: arXiv:1405.4000/Nanotechnology 26, 245202 (2015), arXiv:1412.7765/Scientific Reports 4, 7553 (2014), Appl. Phys. Lett. 105,…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Kuntal Roy

We have used Monte Carlo simulation techniques to obtain the magnetic phase diagram of the double exchange Hamiltonian. We have found that the Berry's phase of the hopping amplitude has a negligible effect in the value of the magnetic…

Strongly Correlated Electrons · Physics 2009-10-31 M. J. Calderon , L. Brey

The computer revolution has been driven by a sustained increase of computational speed of approximately one order of magnitude (a factor of ten) every five years since about 1950. In natural sciences this has led to a continuous increase of…

Statistical Mechanics · Physics 2007-09-06 Bernd A. Berg

We develop a modular approach to Markov chain Monte Carlo (MCMC) sampling for unnormalized target densities. In this approach, Markov chains are constructed in parallel, each constrained to a subset of the target space. The Monte Carlo…

Computation · Statistics 2026-05-05 Joonha Park

As a broader set of applications from simulations to data analysis and machine learning require more parallel computational capability, the demand for interactive and urgent high performance computing (HPC) continues to increase. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-29 Albert Reuther , Nick Brown , William Arndt , Johannes Blaschke , Christian Boehme , Antony Chazapis , Bjoern Enders , Robert Henschel , Julian Kunkel , Maxime Martinasso

Parallel tempering (PT), also known as replica exchange, is the go-to workhorse for simulations of multi-modal distributions. The key to the success of PT is to adopt efficient swap schemes. The popular deterministic even-odd (DEO) scheme…

Machine Learning · Computer Science 2022-11-22 Wei Deng , Qian Zhang , Qi Feng , Faming Liang , Guang Lin

Analog Ising machines (IMs) occupy an increasingly prominent area of computer architecture research, offering high-quality and low latency/energy solutions to intractable computing tasks. However, IMs have a fixed capacity, with little to…

Emerging Technologies · Computer Science 2026-03-03 Matthew X. Burns , Michael C. Huang
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