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A two-dimensional lattice hard-core boson system with a small fraction of bosonic or fermionic impurity particles is studied. The impurities have the same hopping and interactions as the dominant bosons and their effects are solely due to…

Other Condensed Matter · Physics 2009-11-13 Anders. W. Sandvik

We propose a method to study quantitatively the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of…

Condensed Matter · Physics 2009-10-28 Marc Mezard , Giorgio Parisi

We report the emergence of a giant Mpemba effect in the uniformly heated gas of inelastic rough hard spheres: The initially hotter sample may cool sooner than the colder one, even when the initial temperatures differ by more than one order…

Monte Carlo methods play important part in modern statistical physics. The application of these methods suffer from two main difficulties.The first is caused by the relatively small number of particles that can participate in any numerical…

Statistical Mechanics · Physics 2007-05-23 A. Brandt , V. Ilyin

In high dimensions, reflective Hamiltonian Monte Carlo with inexact reflections exhibits slow mixing when the particle ensemble is initialised from a Dirac delta distribution and the uniform distribution is targeted. By quantifying the…

Machine Learning · Statistics 2026-03-20 Namu Kroupa , Gábor Csányi , Will Handley

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…

Computational Physics · Physics 2013-08-26 Joshua A. Anderson , Eric Jankowski , Thomas L. Grubb , Michael Engel , Sharon C. Glotzer

A simple algorithm is described to sample permutations of identical particles in Path Integral Monte Carlo (PIMC) simulations of continuum many-body systems. The sampling strategy illustrated here is fairly general, and can be easily…

Computational Physics · Physics 2009-11-11 Massimo Boninsegni

Ultracold atomic systems have been of great research interest in the past, with more recent attention being paid to systems of mixed species. In this work we carry out non-perturbative Path Integral Monte Carlo (PIMC) simulations of N…

Quantum Gases · Physics 2017-10-19 William G. Dawkins , Alexandros Gezerlis

We propose an efficient Monte Carlo algorithm for the off-lattice simulation of dense hard sphere polymer melts using cluster moves, called event chains, which allow for a rejection-free treatment of the excluded volume. Event chains also…

Soft Condensed Matter · Physics 2015-09-24 Tobias Alexander Kampmann , Horst-Holger Boltz , Jan Kierfeld

The gravitational interaction among bodies orbiting in a spherical potential leads to the rapid relaxation of the orbital planes' distribution, a process called vector resonant relaxation. We examine the statistical equilibrium of this…

Astrophysics of Galaxies · Physics 2018-04-03 Ádám Takács , Bence Kocsis

The swap Monte Carlo algorithm combines the translational motion with the exchange of particle species, and is unprecedentedly efficient for some models of glass former. In order to clarify the physics underlying this acceleration, we study…

Disordered Systems and Neural Networks · Physics 2017-12-29 Harukuni Ikeda , Francesco Zamponi , Atsushi Ikeda

A novel family of dynamical Monte Carlo algorithms for lattice polymers is proposed. Our central idea is to simulate an extended ensemble in which the self-avoiding condition is systematically weakened. The degree of the self-overlap is…

Condensed Matter · Physics 2009-10-31 Yukito Iba , George Chikenji , Macoto Kikuchi

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

We present a general mechanistic model of mass diffusion for a composite sphere placed in a large ambient medium. The multi-layer problem is described by a system of diffusion equations coupled via interlayer boundary conditions such as…

Medical Physics · Physics 2018-01-17 Elliot J. Carr , Giuseppe Pontrelli

In replica exchange Monte Carlo (REM), tuning of the temperature set and the exchange scheduling are crucial in improving the accuracy and reducing calculation time. In multi-dimensional simulated tempering, the first order phase transition…

Statistical Mechanics · Physics 2016-12-28 Kenji Kimura , Saburo Higuchi

High entropy alloys (HEAs) are a series of novel materials that demonstrate many exceptional mechanical properties. To understand the origin of these attractive properties, it is important to investigate the thermodynamics and elucidate the…

Materials Science · Physics 2020-11-03 Xianglin Liu , Jiaxin Zhang , Junqi Yin , Sirui Bi , Markus Eisenbach , Yang Wang

An algorithm to create difficult Sudoku puzzles is proposed. An Ising spin-glass like Hamiltonian describing difficulty of puzzles is defined, and difficult puzzles are created by minimizing the energy of the Hamiltonian. We adopt the…

Statistical Mechanics · Physics 2013-03-12 Hiroshi Watanabe

The replica exchange method is a powerful tool for overcoming slow relaxation in molecular simulations, but its efficiency depends strongly on the choice of the number and interval of replicas and their exchange probabilities. Here, we…

Statistical Mechanics · Physics 2025-06-04 Akie Kowaguchi , Katsuhiro Endo , Kentaro Nomura , Shuichi Kurabayashi , Paul E. Brumby , Kenji Yasuoka

Many experimentally-accessible, finite-sized interacting quantum systems are most appropriately described by the canonical ensemble of statistical mechanics. Conventional numerical simulation methods either approximate them as being coupled…

Strongly Correlated Electrons · Physics 2023-05-23 Tong Shen , Hatem Barghathi , Jiangyong Yu , Adrian Del Maestro , Brenda Rubenstein

In simulations of crystals, unlike liquids or gases, it may happen that the properties of the studied system depend not only on the volume of the simulation cell but also on its shape. For such cases it is desirable to change the shape of…

Computational Physics · Physics 2022-10-04 A. Baumketner
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