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At equilibrium, a fluid element, within a larger heat bath, receives random impulses from the bath. Those impulses, which induce stochastic transitions in the system (the fluid element), respect the principle of detailed balance, because…

Statistical Mechanics · Physics 2009-11-13 Aditi Simha , R. M. L. Evans , A. Baule

We investigate the non-equilibrium dynamics of active bead-spring critical percolation clusters under the action of monopolar and dipolar forces. Previously, Langevin dynamics simulations of Rouse-type dynamics were performed on a…

Soft Condensed Matter · Physics 2025-04-24 Debjyoti Majumdar , Sadhana Singh , Rony Granek

Recent rapid advances in single particle tracking and supercomputing techniques resulted in an unprecedented abundance of diffusion data exhibiting complex behaviours, such the presence of power law tails of the msd and memory functions,…

Statistical Mechanics · Physics 2018-10-08 Jakub Ślęzak

We study Langevin dynamics with a kinetic energy different from the standard, quadratic one in order to accelerate the sampling of Boltzmann-Gibbs distributions. In particular, this kinetic energy can be non-globally Lipschitz, which raises…

Statistical Mechanics · Physics 2018-05-15 Gabriel Stoltz , Zofia Trstanova

We investigate the dynamics of a massive tracer particle coupled to an interacting active bath, modeled as a harmonic chain of overdamped active particles analytically, with an aim to understand the impact of bath interactions and activity…

Statistical Mechanics · Physics 2025-09-03 Ritwick Sarkar , Ion Santra

The generalized elastic model encompasses several physical systems such as polymers, membranes, single file systems, fluctuating surfaces and rough interfaces. We consider the case of an applied localized potential, namely an external force…

Statistical Mechanics · Physics 2012-03-16 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

We investigate the dynamics of heavy impurities embedded in an ultra-cold Fermi gas by using a Generalized Langevin equation. The latter -- derived by means of influence functional theory -- describes the stochastic classical dynamics of…

We investigate the fluctuation dynamics of a probe around a deterministic motion induced by interactions with driven particles. The latter constitute the nonequilibrium medium in which the probe is immersed and is modelled as overdamped…

Statistical Mechanics · Physics 2017-01-03 Christian Maes , Stefano Steffenoni

In this letter we discuss how to add forces to the Langevin equation. We derive the exact generalized Langevin equation for the dynamics of one particle subject to an external force embedded in a system of many interacting particles. The…

Statistical Mechanics · Physics 2023-09-27 Fabian Koch , Jona Erle , Tanja Schilling

Characterizing the properties of an extended system driven by active reservoirs is a question of increasing importance. Here we address this question in two steps. We start by investigating the dynamics of a probe particle connected to an…

Statistical Mechanics · Physics 2024-10-24 Ritwick Sarkar , Ion Santra , Urna Basu

A suspension of elastic chains of small beads in a Newtonian fluid is a common model for a viscoelastic polymer solution. The configuration of these multibead chains can be described by a distribution function that evolves according to a…

Fluid Dynamics · Physics 2021-06-17 Ching Lok Chong

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

We derive the fluctuation dynamics of a probe in weak coupling with a "living" medium, modeled as particles undergoing an active Ornstein-Uhlenbeck dynamics. Nondissipative corrections to the fluctuation-dissipation relation are written out…

Soft Condensed Matter · Physics 2020-11-18 Christian Maes

We study the conformation and dynamics of a single polymer chain that is pulled by a constant force applied at its one end with the other end free. Such a situation is relevant to the growing technology of manipulating individual…

Soft Condensed Matter · Physics 2015-06-04 Takahiro Sakaue , Takuya Saito , Hirofumi Wada

We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional…

Statistical Mechanics · Physics 2015-06-16 L. Kusmierz , J. M. Rubi , E. Gudowska-Nowak

We propose a new model of turbulence for use in large-eddy simulations (LES). The turbulent force, represented here by the turbulent Lamb vector, is divided in two contributions. The contribution including only subfilter fields is…

Fluid Dynamics · Physics 2009-11-11 Jean-Philippe Laval , Berengere Dubrulle

A linearised kinetic equation describing electrostatic perturbations of a Maxwellian equilibrium in a weakly collisional plasma forced by a random source is considered. The problem is treated as a kinetic analogue of the Langevin equation…

Plasma Physics · Physics 2019-02-20 A. Kanekar , A. A. Schekochihin , W. Dorland , N. F. Loureiro

Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard spheres or disks, a Boltzmann-Langevin equation for the one-particle distribution function of the homogeneous cooling state is…

Statistical Mechanics · Physics 2015-05-13 J. Javier Brey , P. Maynar , M. I. Garcia de Soria

We extend the Generalised Langevin Equation (GLE) method [Phys. Rev. B 89, 134303 (2014)] to model a central classical region connected to two realistic thermal baths at two different temperatures. In such nonequilibrium conditions a heat…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 H. Ness , A. Genina , L. Stella , C. D. Lorenz , L. Kantorovich

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov