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There exist methods for determining effective conservative interactions in coarse grained particle based mesoscopic simulations. The resulting models can be used to capture thermal equilibrium behavior, but in the model system we study do…

Soft Condensed Matter · Physics 2016-03-28 Anders Eriksson , Martin Nilsson Jacobi , Johan Nyström , Kolbjørn Tunstrøm

A systematic comparison was carried out to assess the influence of representative thermostat methods in constant-temperature molecular dynamics simulations. The thermostat schemes considered include the Nos\'e--Hoover thermostat and its…

Computational Physics · Physics 2026-04-24 Kumpei Shiraishi , Emi Minamitani , Kang Kim

A brief overview of mesoscopic modelling via dissipative particle dynamics is presented, with emphasis on the appropriate parametrisation and how to calculate the relevant parameters for given realistic systems. The dependence on…

Chemical Physics · Physics 2016-02-19 E. Mayoral , E. Nahmad-Achar

Monte Carlo sampling for Bayesian posterior inference is a common approach used in machine learning. The Markov Chain Monte Carlo procedures that are used are often discrete-time analogues of associated stochastic differential equations…

Machine Learning · Statistics 2020-02-14 Xiaocheng Shang , Zhanxing Zhu , Benedict Leimkuhler , Amos J. Storkey

Adaptive Langevin dynamics is a method for sampling the Boltzmann-Gibbs distribution at prescribed temperature in cases where the potential gradient is subject to stochastic perturbation of unknown magnitude. The method replaces the…

Probability · Mathematics 2023-11-14 Benedict Leimkuhler , Matthias Sachs , Gabriel Stoltz

To avoid ineffective collisions between the equilibrium states, the hybrid method with deviational particles (HDP) has been proposed to integrate the Vlasov-Poisson-Landau system, while leaving a new issue in sampling deviational particles…

Computational Physics · Physics 2025-12-24 Zhengyang Lei , Sihong Shao

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

Statistical Mechanics · Physics 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

Advanced thermostats for molecular dynamics are proposed on the base of the rigorous Langevin dynamics. Because the latter accounts for the subsystem-bath interactions in details, the bath anisotropy and nonuniformity are described via the…

Statistical Mechanics · Physics 2023-10-03 Roumen Tsekov

Dissipative particle dynamics (DPD) does not conserve energy and this precludes its use in the study of thermal processes in complex fluids. We present here a generalization of DPD that incorporates an internal energy and a temperature…

Statistical Mechanics · Physics 2016-08-15 Pep Español

This paper studies the dynamics of relaxation phenomena in the standard dissipative particle dynamics (DPD) model [Groot and Warren, JCP, 107:4423 (1997)]. Using fluctuating hydrodynamics as the framework of the investigation, we focus on…

Statistical Mechanics · Physics 2018-03-29 J. S. Hansen , Michael L. Greenfield , Jeppe C. Dyre

Stochastic gradient Langevin dynamics and its variants approximate the likelihood of an entire dataset, via random (and typically much smaller) subsets, in the setting of Bayesian sampling. Due to the (often substantial) improvement of the…

Machine Learning · Statistics 2026-01-01 Jiani Wei , Xiaocheng Shang

Molecular dynamics with the stochastic process provides a convenient way to compute structural and thermodynamic properties of chemical, biological, and materials systems. It is demonstrated that the virtual dynamics case that we proposed…

Statistical Mechanics · Physics 2018-03-20 Dezhang Li , Zifei Chen , Zhijun Zhang , Jian Liu

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic method which allows to select the level of resolution at which a fluid is simulated. In this work, we study the consistency of the resulting thermodynamic properties as a…

Statistical Mechanics · Physics 2016-10-19 G. Faure , J. Roussel , J. -B. Maillet , G. Stoltz

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

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic particle method which allows to select the level of resolution at which a fluid is simulated. The numerical integration of its equations of motion still suffers from the lack of…

Statistical Mechanics · Physics 2017-10-25 Gérôme Faure , Gabriel Stoltz

Recently, we have shown how a colored-noise Langevin equation can be used in the context of molecular dynamics as a tool to obtain dynamical trajectories whose properties are tailored to display desired sampling features. In the present…

Computational Physics · Physics 2012-04-05 Michele Ceriotti , Giovanni Bussi , Michele Parrinello

Relativistic dissipative hydrodynamic equations are extended by taking into account particle number changing processes in a gluon system, which expands in one dimension boost-invariantly. Chemical equilibration is treated by a rate equation…

Nuclear Theory · Physics 2010-11-23 Andrej El , Azwinndini Muronga , Zhe Xu , Carsten Greiner

We use a Langevin approach to treat the finite temperature dynamics of displacement variables in the half-filled spinless Holstein model. Working in the adiabatic regime we exploit the smallness of the adiabatic parameter to simplify the…

Strongly Correlated Electrons · Physics 2019-05-02 Sauri Bhattacharyya , Sankha Subhra Bakshi , Samrat Kadge , Pinaki Majumdar

Generalized Langevin Equation (GLE) thermostats have been used very effectively as a tool to manipulate and optimize the sampling of thermodynamic ensembles and the associated static properties. Here we show that a similar, exquisite level…

Chemical Physics · Physics 2017-09-06 Mariana Rossi , Venkat Kapil , Michele Ceriotti

This paper focuses on the temporal discretization of the Langevin dynamics, and on different resulting numerical integration schemes. Using a method based on the exponentiation of time dependent operators, we carefully derive a numerical…

Statistical Mechanics · Physics 2007-10-02 Fabrice Thalmann , Jean Farago