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We study full counting statistics for transferred heat and entropy production between multi-terminal systems in absence of a finite junction. The systems are modelled as collections of coupled harmonic oscillators which are kept at…

Statistical Mechanics · Physics 2015-06-16 Bijay Kumar Agarwalla , Huanan Li , Baowen Li , Jian-Sheng Wang

A general scheme for devising efficient cluster dynamics proposed in a previous letter [Phys.Rev.Lett. 72, 1541 (1994)] is extensively discussed. In particular the strong connection among equilibrium properties of clusters and dynamic…

Condensed Matter · Physics 2009-10-28 V. Cataudella , G. Franzese , M. Nicodemi , A. Scala , A. Coniglio

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

This paper shortly describes some important changes to the pvegas-code since its first publication. It proceeds with a report on the scaling-behavior that was found on a wide range of current parallel hardware and discusses some issues of…

Computational Physics · Physics 2007-05-23 Richard Kreckel

We investigate the exchange bias and training effects in the FM/AF heterostructures using a unified Monte Carlo dynamical approach. This real dynamical method has been proved reliable and effective in simulating dynamical magnetization of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Kai-Cheng Zhang , Bang-Gui Liu

Parallel tempering is a generic Markov chain Monte Carlo sampling method which allows good mixing with multimodal target distributions, where conventional Metropolis-Hastings algorithms often fail. The mixing properties of the sampler…

Computation · Statistics 2012-05-08 Blazej Miasojedow , Eric Moulines , Matti Vihola

We present results of a Monte Carlo study of temperature-programmed desorption in a model system with attractive lateral interactions. It is shown that even for weak interactions there are large shifts of the peak maximum temperatures with…

chem-ph · Physics 2009-10-28 A. P. J. Jansen

The effectiveness of stochastic algorithms based on Monte Carlo dynamics in solving hard optimization problems is mostly unknown. Beyond the basic statement that at a dynamical phase transition the ergodicity breaks and a Monte Carlo…

Disordered Systems and Neural Networks · Physics 2019-07-10 Maria Chiara Angelini , Federico Ricci-Tersenghi

The Comments are devoted to the paper ``Solutions of Multitime Reaction-Diffusion PDE'' (Mathematics, vol. 10 (2022), 3623), in which main results are misleading and can be derived in a simple way from those obtained earlier. Moreover, it…

Analysis of PDEs · Mathematics 2023-02-27 Roman Cherniha

Parallel tempering (PT) methods are a popular class of Markov chain Monte Carlo schemes used to sample complex high-dimensional probability distributions. They rely on a collection of $N$ interacting auxiliary chains targeting tempered…

Computation · Statistics 2021-07-28 Saifuddin Syed , Alexandre Bouchard-Côté , George Deligiannidis , Arnaud Doucet

Simulations of systems with quenched disorder are extremely demanding, suffering from the combined effect of slow relaxation and the need of performing the disorder average. As a consequence, new algorithms, improved implementations, and…

Computational Physics · Physics 2020-05-20 Ravinder Kumar , Jonathan Gross , Wolfhard Janke , Martin Weigel

We discuss the efficiency of parallelization on graphical processing units (GPUs) for the simulation of the one dimensional Potts model with long range interactions via parallel tempering. We investigate the behaviour of some thermodynamic…

Statistical Mechanics · Physics 2015-06-17 A. Boer

We propose a new global optimization method ({\em Simulated Tempering}) for simulating effectively a system with a rough free energy landscape (i.e. many coexisting states) at finite non-zero temperature. This method is related to simulated…

High Energy Physics - Lattice · Physics 2010-12-17 Enzo Marinari , Giorgio Parisi

The deposition of a metal on a foreign substrate is studied by means of grand canonical Monte Carlo simulations and a lattice-gas model with pair potential interactions between nearest neighbors. The influence of temperature and surface…

Statistical Mechanics · Physics 2009-11-13 M. Cecilia Gimenez , Antonio J. Ramirez-Pastor , Ezequiel P. M. Leiva

The algorithm based on integration over Lefschetz thimbles is a promising method to resolve the sign problem for complex actions. However, this algorithm often meets a difficulty in actual Monte Carlo calculations because the configuration…

High Energy Physics - Lattice · Physics 2019-12-06 Masafumi Fukuma , Naoya Umeda

A review of the approximations in any time-dependent density functional calculation of excitation energies is given. The single-pole approximation for the susceptibility is used to understand errors in popular approximations for the…

Materials Science · Physics 2007-05-23 Kieron Burke , Martin Petersilka , E. K. U. Gross

We investigate a system of interacting clusters evolving through mass exchange and supplemented by input of small clusters. Three possibilities depending on the rate of exchange generically occur when input is homogeneous: continuous…

Statistical Mechanics · Physics 2015-06-09 P. L. Krapivsky

Numerical studies of shock waves in large scale systems via kinetic simulations with millions of particles are too computationally demanding to be processed in serial. In this work we focus on optimizing the parallel performance of a…

Computational Physics · Physics 2015-07-10 Jim Howell , Wolfgang Bauer , Dirk Colbry , Rodney Pickett , Alec Staber , Irina Sagert , Terrance Strother

We recently introduced a novel replica-exchange scheme in which an individual replica can sample from states encountered by other replicas at any previous time by way of a global configuration database, enabling the fast propagation of…

Computational Physics · Physics 2015-12-15 Thomas Vogel , Danny Perez

This paper introduces the parallel hierarchical sampler (PHS), a Markov chain Monte Carlo algorithm using several chains simultaneously. The connections between PHS and the parallel tempering (PT) algorithm are illustrated, convergence of…

Computation · Statistics 2008-12-09 Fabio Rigat