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This article proposes a novel thermostat applicable to any particle-based dynamic simulation. Each pair of particles is thermostated either (with probability P) with a pairwise Lowe-Andersen thermostat, or (with probability 1-P) with a…

软凝聚态物质 · 物理学 2009-11-11 Simeon D. Stoyanov , Robert D. Groot

The model quantum system of fermions in a one dimensional harmonic oscillator potential is investigated by a molecular dynamics method at constant temperature. Although in quantum mechanics the equipartition theorem cannot be used like in…

统计力学 · 物理学 2015-06-25 J. Schnack

The widely used Nose-Hoover chain (NHC) thermostat in molecular dynamics simulations is generally believed to impart the canonical distribution as well as quasi- (i.e., space filling) ergodicity on the thermostatted physical system (PS).…

统计力学 · 物理学 2014-10-29 Puneet Kumar Patra , Baidurya Bhattacharya

In this paper we formulate Bulgac-Kusnezov constant temperature dynamics in phase space by means of non-Hamiltonian brackets. Two generalized versions of the dynamics are similarly defined: one where the Bulgac-Kusnezov demons are globally…

统计力学 · 物理学 2015-05-18 Alessandro Sergi , Gregory S. Ezra

We show a unified second-order scheme for constructing simple, robust and accurate algorithms for typical thermostats for configurational sampling for the canonical ensemble. When Langevin dynamics is used, the scheme leads to the BAOAB…

化学物理 · 物理学 2017-10-17 Zhijun Zhang , Xinzijian Liu , Zifei Chen , Haifeng Zheng , Kangyu Yan , Jian Liu

"Pedagogical derivations for Nos\'e's dynamics can be developed in two different ways, (i) by starting with a temperature-dependent Hamiltonian in which the variable $s$ scales the time or the mass, or (ii) by requiring that the equations…

统计力学 · 物理学 2024-04-11 William Graham Hoover , Carol Griswold Hoover

We present a method for performing multithermal-multibaric molecular dynamics simulations that sample entire regions of the temperature-pressure (TP) phase diagram. The method uses a variational principle [Valsson and Parrinello, Phys. Rev.…

统计力学 · 物理学 2019-02-13 Pablo M. Piaggi , Michele Parrinello

Thermostated tethered harmonic lattices provide good illustrations of the phase-space dimensionality loss which occurs in the strange-attractor distributions characterizing stationary nonequilibrium flows. We use time-reversible…

混沌动力学 · 物理学 2007-05-23 Harald A. Posch , William G. Hoover

We present an ab initio stochastic method for calculating thermal properties of a trapped, 1D Bose-gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-like Hamiltonian,…

统计力学 · 物理学 2009-11-10 B. Schmidt , L. I. Plimak , M. Fleischhauer

We review and compare numerical methods that simultaneously control temperature while preserving the momentum, a family of particle simulation methods commonly used for the modelling of complex fluids and polymers. The class of methods…

计算物理 · 物理学 2020-02-14 Benedict Leimkuhler , Xiaocheng Shang

Molecular dynamics simulations use statistical mechanics at the atomistic scale to enable both the elucidation of fundamental mechanisms and the engineering of matter for desired tasks. The behavior of molecular systems at the microscale is…

计算物理 · 物理学 2020-12-25 Wujie Wang , Simon Axelrod , Rafael Gómez-Bombarelli

With this work we present two new methods for the generation of thermostated, manifestly Hamiltonian dynamics and provide corresponding illustrations. The basis for this new class of thermostats are the peculiar thermodynamics as exhibited…

统计力学 · 物理学 2014-01-13 Michele Campisi , Peter Hanggi

In this work we present a calculation of the hamiltonian variables solving the molecular dynamics equations of motion for a system of nuclear matter relevant to the description of nuclear pasta. The temperature is kept fixed by using the…

核理论 · 物理学 2009-11-11 M. Angeles Perez Garcia

In the replica-exchange molecular dynamics method, where constant-temperature molecular dynamics simulations are performed in each replica, one usually rescales the momentum of each particle after replica exchange. This rescaling method had…

统计力学 · 物理学 2010-04-14 Yoshiharu Mori , Yuko Okamoto

I review recent results from numerical simulations on the structure and dynamics of the ISM, and attempt to put together a coherent dynamical scenario. In particular, I discuss results on 1) the spatial distribution of the gas components,…

天体物理学 · 物理学 2007-05-23 Enrique Vazquez-Semadeni

The numerical integration of the Nose-Hoover dynamics gives a deterministic method that is used to sample the canonical Gibbs measure. The Nose-Hoover dynamics extends the physical Hamiltonian dynamics by the addition of a "thermostat"…

动力系统 · 数学 2015-05-13 Frederic Legoll , Mitchell Luskin , Richard Moeckel

The earliest molecular dynamics simulations relied on solving the Newtonian or equivalently the Hamiltonian equations of motion for a system. While pedagogically very important as the total energy is preserved in these simulations, they…

计算物理 · 物理学 2020-06-04 M Sri Harish , Puneet Kumar Patra

One-variable thermostats are studied as a generalization of the Nos\'e--Hoover method which is aimed to achieve Gibbs' canonical distribution with conserving the time-reversibility. A condition for equations of motion for the system with…

统计力学 · 物理学 2015-06-25 Hiroshi Watanabe , Hiroto Kobayashi

The Nose-Hoover thermostat is a deterministic dynamical system designed for computing phase space integrals for the canonical Gibbs distribution. Newton's equations are modified by coupling an additional reservoir variable to the physical…

动力系统 · 数学 2007-05-23 Frédéric Legoll , Mitchell Luskin , Richard Moeckel

We review a selection of methods for performing enhanced sampling in molecular dynamics simulations. We consider methods based on collective variable biasing and on tempering, and offer both historical and contemporary perspectives. In…

统计力学 · 物理学 2014-01-03 Cameron Abrams , Giovanni Bussi