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We propose a stochastic model for intracellular transport processes associated with the activity of molecular motors. This out-of-equilibrium model, based on a generalized Langevin equation, considers a particle immersed in a viscoelastic…

Biological Physics · Physics 2009-04-15 L. Bruno , M. A. Despósito

Estimating the parameters governing the dynamics of a system is a prerequisite for its optimal control. We present a simple but powerful method that we call STEADY, for STochastic Estimation algorithm for DYnamical variables, to estimate…

Quantum Physics · Physics 2019-05-29 Stefan Krastanov , Sisi Zhou , Steven T. Flammia , Liang Jiang

Molecular Dynamics (MD) simulations are ubiquitous in cutting-edge physio-chemical research. They provide critical insights into how a physical system evolves over time given a model of interatomic interactions. Understanding a system's…

Computational Physics · Physics 2023-09-06 Rostyslav Hnatyshyn , Jieqiong Zhao , Danny Perez , James Ahrens , Ross Maciejewski

We consider numerical methods for thermodynamic sampling, i.e. computing sequences of points distributed according to the Gibbs-Boltzmann distribution, using Langevin dynamics and overdamped Langevin dynamics (Brownian dynamics). A wide…

Statistical Mechanics · Physics 2015-01-13 Benedict Leimkuhler , Charles Matthews , Gabriel Stoltz

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

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

-Molecular simulations allow the study of properties and interactions of molecular systems. This article presents an improved version of the Adaptive Resolution Scheme that links two systems having atomistic (also called fine-grained) and…

Computational Engineering, Finance, and Science · Computer Science 2017-08-01 Iuliana Marin , Virgil Tudose , Anton Hadar , Nicolae Goga , Andrei Doncescu

Kinetically constrained models have been widely studied in the context of glass formers and non-equilibrium statistical mechanics. Although their simple local rules often result in structureless static properties, their dynamics exhibit…

Quantum Physics · Physics 2026-03-20 Marcel Cech , Johan du Buisson , Cecilia De Fazio , Federico Carollo , Igor Lesanovsky

The Langevin dynamics is a diffusion process extensively used, in particular in molecular dynamics simulations, to sample Gibbs measures. Some alternatives based on (piecewise deterministic) kinetic velocity jump processes have gained…

Numerical Analysis · Mathematics 2025-05-27 Nicolaï Gouraud , Lucas Journel , Pierre Monmarché

Ab initio molecular dynamics (AIMD) is a powerful tool to predict properties of molecular and condensed matter systems. The quality of this procedure is based on accurate electronic structure calculations. The development of quantum…

Traditional chemical kinetics may be inappropriate to describe chemical reactions in micro-domains involving only a small number of substrate and reactant molecules. Starting with the stochastic dynamics of the molecules, we derive a…

Mathematical Physics · Physics 2009-11-10 D. Holcman , Z. Schuss

Molecular Dynamics simulations are becoming a powerful tool for examining and predicting atomic and molecular processes in various environment. The present review shows how, in the fields of plasma physics, chemistry and interactions with…

Plasma Physics · Physics 2023-12-14 Pascal Brault

Molecular dynamics simulations have the potential to provide atomic-level detail and insight to important questions in chemical physics that cannot be observed in typical experiments. However, simply generating a long trajectory is…

Chemical Physics · Physics 2015-06-22 Christian R. Schwantes , Robert T. McGibbon , Vijay S. Pande

The simulation of complex stochastic network dynamics arising, for instance, from models of coupled biomolecular processes remains computationally challenging. Often, the necessity to scan a models' dynamics over a large parameter space…

Quantitative Methods · Quantitative Biology 2013-03-14 Tiago Ramalho , Marco Selig , Ulrich Gerland , Torsten A. Enßlin

The static friction between crystalline surfaces separated by a molecularly thin layer of adsorbed molecules is calculated using molecular dynamics simulations. These molecules naturally lead to a finite static friction that is consistent…

Materials Science · Physics 2009-11-07 Gang He , Mark O. Robbins

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

A novel geometric formalism for statistical estimation is applied here to the canonical distribution of classical statistical mechanics. In this scheme thermodynamic states, or equivalently, statistical mechanical states, can be…

Quantum Physics · Physics 2009-10-30 Dorje C. Brody , Lane P. Hughston

Computer simulations generate trajectories at a single, well-defined thermodynamic state point. Statistical reweighting offers the means to reweight static and dynamical properties to different equilibrium state points by means of analytic…

Computational Physics · Physics 2019-12-25 Marius Bause , Timon Wittenstein , Kurt Kremer , Tristan Bereau

Statistical thermodynamics delivers the probability distribution of the equilibrium state of matter through the constrained maximization of a special functional, entropy. Its elegance and enormous success have led to numerous attempts to…

Statistical Mechanics · Physics 2023-06-22 Themis Matsoukas

Molecular design requires systematic and broadly applicable methods to extract structure-property relationships. The focus of this study is on learning thermodynamic properties from molecular-liquid simulations. The methodology relies on an…

Materials Science · Physics 2023-07-04 Bernadette Mohr , Diego van der Mast , Tristan Bereau