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We propose a method for efficient simulations in extended ensembles, useful, e.g., for the study of problems with complex energy landscapes and for free energy calculations. The main difficulty in such simulations is the estimation of the a…

Statistical Mechanics · Physics 2012-05-29 Jack Lidmar

We investigate a generic, parallel replica-exchange framework for Monte Carlo simulations based on the Wang-Landau method. To demonstrate its advantages and general applicability for massively parallel simulations of complex systems, we…

Computational Physics · Physics 2015-06-22 Thomas Vogel , Ying Wai Li , Thomas Wüst , David P. Landau

Replica exchange (REX) is one of the most widely used enhanced sampling methodologies, yet its efficiency is limited by the requirement for a large number of intermediate temperature replicas. Here we present Generative Replica Exchange…

Biomolecules · Quantitative Biology 2026-03-20 Shengjie Huang , Sijie Yang , Jianqiao Yi , Rui Zheng , Haocong Liao , Muzammal Hussain , Yaoquan Tu , Xiaoyun Lu , Yang Zhou

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

Condensed Matter · Physics 2009-10-28 Koji Hukushima , Koji Nemoto

A new simulated tempering method, which is referred to as simulated tempering umbrella sampling, for calculating the free energy of chemical reactions is proposed. First principles molecular dynamics simulations with this simulated…

Statistical Mechanics · Physics 2012-06-05 Yoshiharu Mori , Yuko Okamoto

A novel error measure, referred to as the hysteresis error, is developed from the Crooks fluctuation theorem to evaluate sampling quality in free energy calculations. Theory and numerical free energy of hydration calculations are used to…

Statistical Mechanics · Physics 2009-11-13 Matthew A. Wyczalkowski , Rohit V. Pappu

We introduce a new update scheme to systematically improve the efficiency of parallel tempering simulations. We show that by adapting the number of sweeps between replica exchanges to the canonical autocorrelation time, the average…

Statistical Mechanics · Physics 2008-09-26 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke

This article describes nonequilibrium techniques for the calculation of free energies of solids using molecular dynamics (MD) simulations. These methods provide an alternative to standard equilibrium thermodynamic integration methods and…

Materials Science · Physics 2022-01-13 Rodrigo Freitas , Mark Asta , Maurice de Koning

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

We propose a method, Temperature Integration, which allows an efficient calculation of free energy differences between two systems of interest, with the same degrees of freedom, which may have rough energy landscapes. The method is based on…

Statistical Mechanics · Physics 2015-06-12 Asaf Farhi , Guy Hed , Michael Bon , Nestor Caticha , Chi H Mak , Eytan Domany

Sampling complex potential energies is one of the most pressing challenges of contemporary computational science. Inspired by recent efforts that use quantum effects and discretized Feynman's path integrals to overcome large barriers we…

Statistical Mechanics · Physics 2016-07-19 Marco Nava , Ferruccio Palazzesi , Claudio Perego , Michele Parrinello

Generalized ensemble methods such as Hamiltonian replica exchange (HREX) and expanded ensemble (EE) have been shown effective in free energy calculations for various contexts, given their ability to circumvent free energy barriers via…

Statistical Mechanics · Physics 2024-04-12 Wei-Tse Hsu , Michael R. Shirts

We consider the statistical mechanics of a classical particle in a one-dimensional box subjected to a random potential which constitutes a Wiener process on the coordinate axis. The distribution of the free energy and all correlation…

Condensed Matter · Physics 2009-10-28 Kurt Broderix , Reiner Kree

We derive the optimal estimates of the free energies of an arbitrary number of thermodynamic states from nonequilibrium work measurements; the work data are collected from forward and reverse switching processes and obey a fluctuation…

Statistical Mechanics · Physics 2009-11-11 Paul Maragakis , Martin Spichty , Martin Karplus

We propose a formulation of adaptive computation of free energy differences, in the ABF or nonequilibrium metadynamics spirit, using conditional distributions of samples of configurations which evolve in time. This allows to present a truly…

Statistical Mechanics · Physics 2015-06-25 Tony Lelievre , Mathias Rousset , Gabriel Stoltz

The widespread popularity of replica exchange and expanded ensemble algorithms for simulating complex molecular systems in chemistry and biophysics has generated much interest in enhancing phase space mixing of these protocols, thus…

Statistical Mechanics · Physics 2011-12-06 John D. Chodera , Michael R. Shirts

The method for calculating the isotropic exchange interactions in the paramagnetic phase is proposed. It is based on the mapping of the high-temperature expansion of the spin-spin correlation function calculated for the Heisenberg model…

Strongly Correlated Electrons · Physics 2016-11-09 O. M. Sotnikov , V. V. Mazurenko

The alternative replica technique which involve summation over all integer momenta of the partition function and which does not require analytic continuation to non-integer values of the replica parameter $n$ is discussed. In terms of this…

Disordered Systems and Neural Networks · Physics 2015-05-27 Victor Dotsenko

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

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…

Statistical Mechanics · Physics 2014-10-15 Krzysztof Lewandowski , Piotr Knychala , Michal Banaszak