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In this paper, we present a parallel computing method for the coupled-cluster singles and doubles (CCSD) in periodic systems. The CCSD in periodic systems solves simultaneous equations for single-excitation and double-excitation amplitudes.…

强关联电子 · 物理学 2019-11-04 Takumi Yamashita , Taichi Kosugi , Yu-ichiro Matsushita , Tetsuya Sakurai

Markov chain Monte Carlo (MCMC) algorithms are widely used to sample from complicated distributions, especially to sample from the posterior distribution in Bayesian inference. However, MCMC is not directly applicable when facing the doubly…

统计计算 · 统计学 2019-03-29 Guanyang Wang

The quantum Monte Carlo methods represent a powerful and broadly applicable computational tool for finding very accurate solutions of the stationary Schroedinger equation for atoms, molecules, solids and a variety of model systems. The…

计算物理 · 物理学 2011-01-28 Jindrich Kolorenc , Lubos Mitas

We present an efficient algorithm for the inference of stochastic block models in large networks. The algorithm can be used as an optimized Markov chain Monte Carlo (MCMC) method, with a fast mixing time and a much reduced susceptibility to…

数据分析、统计与概率 · 物理学 2014-01-14 Tiago P. Peixoto

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

An efficient method for computing thermodynamic equilibrium states at the micromagnetic length scale is introduced, using the Markov chain Monte Carlo method. Trial moves include not only rotations of vectors, but also a change in their…

介观与纳米尺度物理 · 物理学 2021-11-10 Serban Lepadatu

The three-dimensional XY model with bilinear-biquadratic exchange interactions $J$ and $J'$, respectively, has been studied by Monte Carlo simulations. From the detailed analysis of the thermal variation of various physical quantities, as…

统计力学 · 物理学 2013-01-10 H. Nagata , M. Žukovič , T. Idogaki

A boundary-based net-exchange Monte Carlo method was introduced in [1] that allows to bypass the difficulties encountered by standard Monte Carlo algorithms in the limit of optically thick absorption (and/or for quasi-isothermal…

计算物理 · 物理学 2019-03-06 V. Eymet , R. Fournier , S. Blanco , J. L. Dufresne

Successful computer studies of glass-forming materials need to overcome both the natural tendency to structural ordering and the dramatic increase of relaxation times at low temperatures. We present a comprehensive analysis of eleven…

统计力学 · 物理学 2017-06-09 Andrea Ninarello , Ludovic Berthier , Daniele Coslovich

We propose a Multi-Cell Monte Carlo algorithm, or (MC)^2, for predicting stable phases in chemically complex crystalline systems. Free atomic transfer among cells is achieved via the application of the lever rule, where an assigned molar…

材料科学 · 物理学 2018-11-13 Changning Niu , You Rao , Wolfgang Windl , Maryam Ghazisaeidi

The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (PDE) models, combining model computations at different levels…

数学软件 · 计算机科学 2023-05-24 Santiago Badia , Jerrad Hampton , Javier Principe

We show that recently developed quantum Monte Carlo methods, which provide accurate vertical transition energies for single excitations, also successfully treat double excitations. We study the double excitations in medium-sized molecules,…

Monte Carlo simulation has been performed in one-dimensional Lebwohl-Lasher model and two dimensional XY-model using the Wang-Landau and the Wang-Landau-Transition-Matrix Monte Carlo methods. Random walk has been performed in the…

统计力学 · 物理学 2010-05-27 Shyamal Bhar , Soumen Kumar Roy

In this paper, we present a parallel algorithm for Monte Carlo simulation of the 2D Ising Model to perform efficiently on a cluster computer using MPI. We use C++ programming language to implement the algorithm. In our algorithm, every…

计算物理 · 物理学 2018-11-13 Dariush Hassani , Shahnoosh Rafibakhsh

The basic problem in equilibrium statistical mechanics is to compute phase space average, in which Monte Carlo method plays a very important role. We begin with a review of nonlocal algorithms for Markov chain Monte Carlo simulation in…

统计力学 · 物理学 2007-05-23 Jian-Sheng Wang

We present a study of the parallel tempering (replica exchange) Monte Carlo method, with special focus on the feedback-optimized parallel tempering algorithm, used for generating an optimal set of simulation temperatures. This method is…

统计力学 · 物理学 2014-10-15 Krzysztof Lewandowski , Piotr Knychala , Michal Banaszak

Monte Carlo methods, such as Markov chain Monte Carlo (MCMC) algorithms, have become very popular in signal processing over the last years. In this work, we introduce a novel MCMC scheme where parallel MCMC chains interact, adapting…

统计计算 · 统计学 2016-09-27 L. Martino , V. Elvira , D. Luengo , F. Louzada

This paper proposes a Sequential Monte Carlo approach for the Bayesian estimation of mixed causal and noncausal models. Unlike previous Bayesian estimation methods developed for these models, Sequential Monte Carlo offers extensive…

计量经济学 · 经济学 2025-01-08 Gianluca Cubadda , Francesco Giancaterini , Stefano Grassi

We propose a number of Monte Carlo algorithms for the simulation of ice models and compare their efficiency. One of them, a cluster algorithm for the equivalent three colour model, appears to have a dynamic exponent close to zero, making it…

统计力学 · 物理学 2009-10-30 G. T. Barkema , M. E. J. Newman

We introduce a multiscale Monte Carlo algorithm to simulate dense simple fluids. The probability of an update follows a power law distribution in its length scale. The collective motion of clusters of particles requires generalization of…

统计力学 · 物理学 2009-11-11 A. C. Maggs