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The bootstrap method has proven useful for a wide range of matrix models. Here, we show that the computed momenta can be used to reconstruct the underlying eigenvalue probability distribution, which in turn allows us to compute the free…

High Energy Physics - Theory · Physics 2025-09-29 Samuel Kováčik , Katarína Magdolenová

We describe a novel method to obtain thermodynamic properties of quantum systems using Baysian Inference -- Maximum Entropy techniques. The method is applicable to energy values sampled at a discrete set of temperatures from Quantum Monte…

Condensed Matter · Physics 2009-10-31 Carey Huscroft , Richard Gass , Mark Jarrell

An innovative and accurate dynamic Compact Thermal Model extraction method is proposed for multi-chip power electronics systems. It accounts for thermal coupling between multiple heat sources. Transient electro-thermal coupling can easily…

General Physics · Physics 2008-01-08 W. Habra , P. Tounsi , F. Madrid , P. Dupuy , C. Barbot , J. -M. Dorkel

Coupled, dynamical spin-lattice models provide a unique test ground for simulations investigating the finite-temperature magnetic properties of materials under the direct influence of the lattice vibrations. These models are constructed by…

Statistical Mechanics · Physics 2016-12-28 Dilina Perera , Thomas Vogel , David P. Landau

In this paper, we review the physical concepts of the nonequilibrium techniques for the calculation of free energies applied to magnetic systems using Monte Carlo simulations of different nonequilibrium processes. The methodology allows the…

Statistical Mechanics · Physics 2019-05-01 Samuel Cajahuaringa , Alex Antonelli

In this short note we sketch the statistical physics framework of the replica exchange technique when applied to molecular dynamics simulations. In particular, we draw attention to generalized move sets that allow a variety of optimizations…

Quantitative Methods · Quantitative Biology 2009-11-13 Walter Nadler , Ulrich H. E. Hansmann

We study the free energy of a most used deep architecture for restricted Boltzmann machines, where the layers are disposed in series. Assuming independent Gaussian distributed random weights, we show that the error term in the so-called…

Disordered Systems and Neural Networks · Physics 2022-07-08 Giuseppe Genovese

A variant of the parallel tempering method is proposed in terms of a stochastic switching process for the coupled dynamics of replica configuration and temperature permutation. This formulation is shown to facilitate the analysis of the…

Chemical Physics · Physics 2017-12-20 Jianfeng Lu , Eric Vanden-Eijnden

We show how to use the multiple histogram method to combine canonical ensemble Monte Carlo simulations made at different temperatures and densities. The method can be applied to study systems of particles with arbitrary interaction…

Statistical Mechanics · Physics 2009-10-31 A. L. Ferreira , M. A. Barroso

We propose a replica-exchange method (REM) which does not use pseudo random numbers. For this purpose, we first give a conditional probability for Gibbs sampling replica-exchange method (GSREM) based on the heat bath method. In GSREM,…

Statistical Mechanics · Physics 2015-09-22 Ryo Urano , Yuko Okamoto

We present a novel Exchange Monte Carlo (EMC) method designed for application in continuous-space Path Integral Monte Carlo (PIMC) simulations at finite temperature. Traditional PIMC methods for bosonic systems suffer from long…

Statistical Mechanics · Physics 2026-05-26 Xun Zhao , Synge Todo

We propose a new algorithm for non-equilibrium molecular dynamics simulations of thermal gradients. The algorithm is an extension of the heat exchange algorithm developed by Hafskjold and co-workers [Mol. Phys. 80, 1389 (1993); Mol. Phys.…

Computational Physics · Physics 2015-10-30 P. Wirnsberger , D. Frenkel , C. Dellago

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

Alchemical free energy calculations are a useful tool for predicting free energy differences associated with the transfer of molecules from one environment to another. The hallmark of these methods is the use of "bridging" potential energy…

We previously developed an algorithm, called resolution exchange, which improves canonical sampling of atomic resolution models by swapping conformations between high- and low-resolution simulations[1]. Here, we demonstrate a generally…

Biological Physics · Physics 2007-05-23 Edward Lyman , Daniel M. Zuckerman

We propose a method to compute free-energy differences from nonadiabatic alchemical transformations using flow-based generative models. The method, nonadiabatic force matching, hinges on estimating the dissipation along an alchemical…

Chemical Physics · Physics 2025-11-21 Jorge L. Rosa-Raíces , David T. Limmer

We present an adaptive multi-GPU Exchange Monte Carlo method designed for the simulation of the 3D Random Field Model. The algorithm design is based on a two-level parallelization scheme that allows the method to scale its performance in…

Computational Physics · Physics 2016-08-10 C. A. Navarro , Wei Huang , Youjin Deng

Calculating free energies is an important and notoriously difficult task for molecular simulations. The rapid increase in computational power has made it possible to probe increasingly complex systems, yet extracting accurate free energies…

Chemical Physics · Physics 2014-07-29 Viveca Lindahl , Jack Lidmar , Berk Hess

Thermodynamic phase transitions, a central concept in physics and chemistry, are typically controlled by an interplay of enthalpic and entropic contributions. In most cases, the estimation of the enthalpy in simulations is straightforward…

Soft Condensed Matter · Physics 2025-10-30 Yamin Ben-Shimon , Barak Hirshberg , Yohai Bar-Sinai

Free energies of molecules can be calculated by quantum computations or by normal mode classical calculations. However, the first can be computationally impractical for large molecules and the second is based on the assumption of harmonic…

Chemical Physics · Physics 2016-03-23 Asaf Farhi