English
Related papers

Related papers: Efficient stochastic thermostatting of path integr…

200 papers

We present a method, based on a non-Markovian Langevin equation, to include quantum corrections to the classical dynamics of ions in a quasi-harmonic system. By properly fitting the correlation function of the noise, one can vary the…

Statistical Mechanics · Physics 2009-09-15 Michele Ceriotti , Giovanni Bussi , Michele Parrinello

We implement the statistically sound G-JF thermostat for Langevin Dynamics simulations into the ESPREesSo molecular package for large-scale simulations of soft matter systems. The implemented integration method is tested against the…

Computational Physics · Physics 2016-08-17 Evyatar Arad , Oded Farago , Niels Grønbech-Jensen

In this article, we present an improved version of the PULSE method (Partition function Unsupervised Learning Sampling and Evaluation) for estimating the thermodynamic properties of chemically disordered compounds. The aim is to reduce the…

Statistical Mechanics · Physics 2026-05-28 Baptiste Bernard , Luca Messina , Eiji Kawasaki , Emeric Bourasseau

Given a particle system obeying overdamped Langevin dynamics, we demonstrate that it is always possible to construct a thermodynamically consistent macroscopic model which obeys a gradient flow with respect to its non-equilibrium free…

Statistical Mechanics · Physics 2025-06-11 Travis Leadbetter , Prashant K. Purohit , Celia Reina

The complex Langevin method (CLM) is a promising tool to address the sign problem in quantum field theories with complex actions. However, it can converge to incorrect results even when simulations appear stable, highlighting the need for…

High Energy Physics - Lattice · Physics 2026-03-27 Anosh Joseph , Arpith Kumar

A new Langevin-Verlet thermostat that preserves the fluctuation-dissipation relationship for discrete time steps, is applied to molecular modeling and tested against several popular suites (AMBER, GROMACS, LAMMPS) using a small molecule as…

Materials Science · Physics 2013-12-17 Niels Grønbech-Jensen , Natha Robert Hayre , Oded Farago

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

The authors present a new molecular dynamics algorithm for sampling the isothermal-isobaric ensemble. In this approach the velocities of all particles and volume degrees of freedom are rescaled by a properly chosen random factor. The…

Statistical Mechanics · Physics 2009-03-10 Giovanni Bussi , Tatyana Zykova-Timan , Michele Parrinello

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

We experimentally study a piezoelectric energy harvester driven by broadband random vibrations. We show that a linear model, consisting of an underdamped Langevin equation for the dynamics of the tip mass, electromechanically coupled with a…

Statistical Mechanics · Physics 2022-03-04 L. Costanzo , A. Lo Schiavo , A. Sarracino , M. Vitelli

The results of analytical approximations and extensive calculations based on a path integral Monte Carlo (PIMC) scheme are presented. A new (direct) PIMC method allows for a correct determination of thermodynamic properties such as energy…

Astrophysics · Physics 2007-05-23 V. Filinov , M. Bonitz , D. Kremp , W. -D. Kraeft , V. Fortov

The Generalised Langevin Equation (GLE) method, as developed in Ref. [Phys. Rev. B 89, 134303 (2014)], is used to calculate the dissipative dynamics of systems described at the atomic level. The GLE scheme goes beyond the commonly used…

Statistical Mechanics · Physics 2015-01-06 H. Ness , L. Stella , C. D. Lorenz , L. Kantorovich

Dissipative particle dynamics (DPD) and multi-particle collision (MPC) dynamics are powerful tools to study mesoscale hydrodynamic phenomena accompanied by thermal fluctuations. To understand the advantages of these types of mesoscale…

Soft Condensed Matter · Physics 2009-11-11 Hiroshi Noguchi , Norio Kikuchi , Gerhard Gompper

We study the convergence to equilibrium of an underdamped Langevin equation that is controlled by a linear feedback force. Specifically, we are interested in sampling the possibly multimodal invariant probability distribution of a Langevin…

Optimization and Control · Mathematics 2022-01-12 Tobias Breiten , Carsten Hartmann , Lara Neureither , Upanshu Sharma

Stochastic reaction networks governed by Chemical Langevin Equations (CLE) exhibit pronounced multiscale dynamics spanning fast molecular reactions, intermediate transport, and slow cellular regulation, posing significant challenges for…

Numerical Analysis · Mathematics 2026-04-02 Yuming Zeng , Wei Xie , Keqi Wang

Dissipative Particle Dynamics (DPD) is a popular simulation model for investigating hydrodynamic behavior of systems with non-negligible equilibrium thermal fluctuations. DPD employs soft core repulsive interactions between the system…

Statistical Mechanics · Physics 2016-03-23 Oded Farago , Niels Grønbech-Jensen

Vibrational spectra of condensed and gas-phase systems containing light nuclei are influenced by their quantum-mechanical behaviour. The quantum dynamics of light nuclei can be approximated by the imaginary time path integral (PI)…

Chemical Physics · Physics 2022-11-23 Félix Musil , Iryna Zaporozhets , Frank Noé , Cecilia Clementi , Venkat Kapil

Two first-principles simulation techniques, path integral Monte Carlo (PIMC) and density functional molecular dynamics (DFT-MD), are applied to study hot, dense helium in the density-temperature range of 0.387 - 5.35 g/cc and 500 K -…

Materials Science · Physics 2015-05-13 B. Militzer

Langevin dynamics sampling suffers from extremely low generation speed, fundamentally limited by numerous fine-grained iterations to converge to the target distribution. We introduce PID-controlled Langevin Dynamics (PIDLD), a novel…

Machine Learning · Computer Science 2025-11-18 Hongyi Chen , Jianhai Shu , Jingtao Ding , Yong Li , Xiao-Ping Zhang

In molecular dynamics simulations, dynamically consistent coarse-grained (CG) models commonly use stochastic thermostats to model friction and fluctuations that are lost in a CG description. While Markovian, i.e., time-local, formulations…

Statistical Mechanics · Physics 2024-06-24 V. Klippenstein , N. Wolf , N. F. A. van der Vegt