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Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

We propose a new generalized-ensemble algorithm, which we refer to as the multicanonical-multioverlap algorithm. By utilizing a non-Boltzmann weight factor, this method realizes a random walk in the multi-dimensional, energy-overlap space…

Statistical Mechanics · Physics 2009-11-11 Satoru G. Itoh , Yuko Okamoto

We introduce a variation of the dissipative particle dynamics (DPD) thermostat that allows for controlling transport properties of molecular fluids. The standard DPD thermostat acts only on a relative velocity along the interatomic axis.…

Soft Condensed Matter · Physics 2007-12-04 Christoph Junghans , Matej Praprotnik , Kurt Kremer

This paper presents a molecular dynamics simulation of an inelastic gas, where collisions between molecules are characterized by a coefficient of restitution less than unity. The simulation employs an event-driven algorithm to efficiently…

Computational Physics · Physics 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

Molecular dynamics simulations of a three dimensional relativistic gas with a soft potential are conducted with different interactions and particle masses. For all cases the velocity distribution agrees numerically with the J\"uttner…

Statistical Mechanics · Physics 2020-10-07 Noah Kubli , Hans J. Herrmann

An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to…

Statistical Mechanics · Physics 2009-10-31 Xavier Leoncini , Alberto D. Verga

We present a general molecular-dynamics simulation scheme, based on the Nose' thermostat, for sampling according to arbitrary phase space distributions. We formulate numerical methods based on both Nose'-Hoover and Nose'-Poincare'…

Statistical Mechanics · Physics 2009-11-07 Eric J. Barth , Brian B. Laird , Benedict J. Leimkuhler

One of the important challenges facing high resolution molecular dynamics calculations is to reproduce biological functions that occur in the macroscopic world and involve macroscopic variables. Some of these functions can be well described…

Biomolecules · Quantitative Biology 2008-02-18 Bob Eisenberg

We introduce a modified molecular dynamics algorithm that allows one to freeze the dynamics of parts of a physical system, and thus concentrate the simulation effort on selected, central degrees of freedom. This freezing, in contrast to…

Statistical Mechanics · Physics 2017-08-02 A. C. Maggs

New hybrid Molecular Dynamics-Monte Carlo methods are proposed to increase the efficiency of constant-pressure simulations. Two variations of the isobaric Molecular Dynamics component of the algorithms are considered. In the first, we use…

Soft Condensed Matter · Physics 2009-11-07 Roland Faller , Juan J. de Pablo

A new configurational temperature thermostat suitable for molecules with holonomic constraints is derived. This thermostat has a simple set of motion equations, can generate the canonical ensemble in both position and momentum space, acts…

Statistical Mechanics · Physics 2009-11-13 Karl P. Travis , Carlos Braga

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis

We simulate the compression of a two-component Lennard-Jones liquid at a variety of constant temperatures using a molecular dynamics algorithm in an isobaric-isothermal ensemble. The viscosity of the liquid increases with pressure,…

chem-ph · Physics 2009-10-22 Shelly L. Shumway , Andrew S. Clarke , Hannes Jónsson

Thermodynamic probes can be used to deduce microscopic internal dynamics of nanoscale quantum systems. Several direct entropy measurement protocols based on charge transport measurements have been proposed and experimentally applied to…

Mesoscale and Nanoscale Physics · Physics 2022-12-22 E. Pyurbeeva , J. O. Thomas , J. A. Mol

We show direct formal relationship between the Wang-Landau iteration [PRL 86, 2050 (2001)], metadynamics [PNAS 99, 12562 (2002)] and statistical temperature molecular dynamics [PRL 97, 050601 (2006)], the major Monte Carlo and molecular…

Statistical Mechanics · Physics 2021-05-13 Christoph Junghans , Danny Perez , Thomas Vogel

This paper introduces coordinate-independent methods for analysing multiscale dynamical systems using numerical techniques based on the transfer operator and its adjoint. In particular, we present a method for testing whether an arbitrary…

Dynamical Systems · Mathematics 2014-09-30 Gary Froyland , Georg A. Gottwald , Andy Hammerlindl

A multicanonical formalism is introduced to describe statistical equilibrium of complex systems exhibiting a hierarchy of time and length scales, where the hierarchical structure is described as a set of nested "internal heat reservoirs"…

Statistical Mechanics · Physics 2012-11-15 Domingos S. P. Salazar , Giovani L. Vasconcelos

A thermostat of the Nose-Hoover type, based on relative velocities and a local definition of the temperature, is presented. The thermostat is momentum-conserving and Galilean-invariant, which should make it suitable for use in Dissipative…

Statistical Mechanics · Physics 2007-05-23 Michael P. Allen , Friederike Schmid

Living systems operate far from thermodynamic equilibrium. Enzymatic activity can induce broken detailed balance at the molecular scale. This molecular scale breaking of detailed balance is crucial to achieve biological functions such as…

Biological Physics · Physics 2018-05-02 F. Gnesotto , F. Mura , J. Gladrow , C. P. Broedersz

Multi-component molecular machines are ubiquitous in biology. We review recent progress on describing their thermodynamic properties using autonomous bipartite Markovian dynamics. The first and second laws can be split into local versions…

Statistical Mechanics · Physics 2023-04-10 Jannik Ehrich , David A. Sivak