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In any valid Monte Carlo sampling that realizes microcanonical property we can collect statistics for a transition matrix in energy. This matrix is used to determine the density of states, from which most of the thermodynamical averages can…

统计力学 · 物理学 2009-11-10 Jian-Sheng Wang

We propose a new effective cluster algorithm of tuning the critical point automatically, which is an extended version of Swendsen-Wang algorithm. We change the probability of connecting spins of the same type, $p = 1 - e^{- J/ k_BT}$, in…

统计力学 · 物理学 2009-10-31 Yusuke Tomita , Yutaka Okabe

An estimator for the dynamical temperature in an arbitrary ensemble is derived in the framework of Bayesian statistical mechanics and the maximum entropy principle. We test this estimator numerically by a simulation of the two-dimensional…

统计力学 · 物理学 2016-12-14 G. Palma , G. Gutiérrez , S. Davis

We present a novel Ensemble Monte Carlo Growth method to sample the equilibrium thermodynamic properties of random chains. The method is based on the multicanonical technique of computing the density of states in the energy space. Such a…

统计力学 · 物理学 2020-03-04 Graziano Vernizzi , Trung Dac Nguyen , Henri Orland , Monica Olvera de la Cruz

The swap Monte Carlo algorithm introduces non-physical dynamic rules to accelerate the exploration of the configuration space of supercooled liquids. Its success raises deep questions regarding the nature and physical origin of the slow…

软凝聚态物质 · 物理学 2024-12-17 Kumpei Shiraishi , Ludovic Berthier

In this work, we discuss the implications of a recently obtained equilibrium fluctuation-dissipation relation on the extension of the available Monte Carlo methods based on the consideration of the Gibbs canonical ensemble to account for…

统计力学 · 物理学 2013-07-31 L. Velazquez , S. Curilef

The aim of the paper is to propose an algorithm based on the Multispin Coding technique for the Kob-Andersen glassy dynamics. We first give motivations to speed up the numerical simulation in the context of spin glass models [M. Mezard, G.…

统计力学 · 物理学 2017-10-17 Roberto Boccagna

In this paper we introduce a new algorithm to study some NP-complete problems. This algorithm is a Markov Chain Monte Carlo (MCMC) inspired by the cavity method developed in the study of spin glass. We will focus on the maximum clique…

统计力学 · 物理学 2015-06-25 Antonio Iovanella , Benedetto Scoppola , Elisabetta Scoppola

The unconstrained ensemble describes completely open systems whose control parameters are chemical potential, pressure, and temperature. For macroscopic systems with short-range interactions, thermodynamics prevents the simultaneous use of…

We introduce a `virtual-move' Monte Carlo (VMMC) algorithm for systems of pairwise-interacting particles. This algorithm facilitates the simulation of particles possessing attractions of short range and arbitrary strength and geometry, an…

统计力学 · 物理学 2009-11-11 Stephen Whitelam , Phillip L. Geissler

We present a novel, generally applicable Monte Carlo algorithm for the simulation of fluid systems. Geometric transformations are used to identify clusters of particles in such a manner that every cluster move is accepted, irrespective of…

统计力学 · 物理学 2016-08-31 Jiwen Liu , Erik Luijten

I propose a numerical simulation algorithm for statistical systems which combines a microcanonical transfer of energy with global changes in clusters of spins. The advantages of the cluster approach near a critical point augment the speed…

高能物理 - 格点 · 物理学 2009-10-22 Michael Creutz

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

New hybrid Molecular Dynamics-Monte Carlo methods are proposed to increase the efficiency of constant-pressure simulations. Two variations of the isobaric Molecular Dynamics component of the algorithms are considered. In the first, we use…

软凝聚态物质 · 物理学 2009-11-07 Roland Faller , Juan J. de Pablo

We introduce a novel Simulated Quantum Annealing (SQA) algorithm which employs a multispin quantum fluctuation operator. At variance with the usual transverse field, short-range two-spin flip interactions are included in the driver…

量子物理 · 物理学 2017-05-24 Guglielmo Mazzola , Matthias Troyer

Recently, Syljuasen and Sandvik proposed a new framework for constructing algorithms of quantum Monte Carlo simulation. While it includes new classes of powerful algorithms, it is not straightforward to find an efficient algorithm for a…

统计力学 · 物理学 2009-11-07 Kenji Harada , Naoki Kawashima

We propose a general framework of quantum kinetic Monte Carlo algorithm, based on a stochastic representation of a series expansion of the quantum evolution. Two approaches have been developed in the context of quantum many-body spin…

计算物理 · 物理学 2018-01-17 Zhenning Cai , Jianfeng Lu

Spin-glass systems are universal models for representing many-body phenomena in statistical physics and computer science. High quality solutions of NP-hard combinatorial optimization problems can be encoded into low energy states of…

无序系统与神经网络 · 物理学 2020-01-14 Gavin S. Hartnett , Masoud Mohseni

We report large-scale simulations of the three-dimensional Edwards-Anderson Ising spin glass system using the recently introduced multi-overlap Monte Carlo algorithm. In this approach the temperature is fixed and two replica are coupled…

无序系统与神经网络 · 物理学 2017-09-27 Wolfhard Janke , Bernd A. Berg , Alain Billoire

Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study…

统计力学 · 物理学 2015-06-11 Silvio Franz , Mauro Sellitto