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Baths produce friction and random forcing on particles suspended in them. The relation between noise and friction in (generalized) Langevin equations is usually referred to as the second fluctuation-dissipation theorem. We show what is the…

Statistical Mechanics · Physics 2015-06-17 Christian Maes

We study how the stationary dynamics of an oscillator chain is modified when coupled to a bath of run-and-tumble particles. First, assuming time-scale separation, we derive the induced Langevin chain dynamics with explicit expressions for…

Statistical Mechanics · Physics 2026-05-18 Aaron Beyen , Christian Maes , Ion Santra

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

We consider the stochastic dynamics of a system linearly coupled to a hierarchical thermal bath with two well-separated inherent timescales: one slow, and one fast. The slow part of the bath is modeled as a set of harmonic oscillators and…

Statistical Mechanics · Physics 2019-06-05 A. V. Plyukhin

We consider the properties of a one dimensional fluid of brownian inertial hard-core particles, whose microscopic dynamics is partially damped by a heat-bath. Direct interactions among the particles are represented as binary, instantaneous…

Statistical Mechanics · Physics 2007-05-23 Marini Bettolo Marconi Umberto , Tarazona Pedro

We study the stochastic motion of an intruder in a dilute driven granular gas. All particles are coupled to a thermostat, representing the external energy source, which is the sum of random forces and a viscous drag. The dynamics of the…

Statistical Mechanics · Physics 2010-04-27 Alessandro Sarracino , Dario Villamaina , Giulio Costantini , Andrea Puglisi

The analysis of the dynamics of tracer particles in a complex bath can provide valuable information about the microscopic behaviour of the bath. In this work, we study the dynamics of a forced tracer in a colloidal bath by means of Langevin…

Soft Condensed Matter · Physics 2020-06-24 Francisco Orts , Gloria Ortega , Ester M. Garzon , Matthias Fuchs , Antonio M. Puertas

We derive the long-time dynamics of a tracer immersed in a one-dimensional active bath. In contrast to previous studies, we find that the damping and noise correlations possess long-time tails with exponents that depend on the tracer…

Soft Condensed Matter · Physics 2022-07-26 Omer Granek , Yariv Kafri , Julien Tailleur

We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for $1-d$ systems of masses connected…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling

Based on a microscopic system reservoir model,where the associated bath is not in thermal equilibrium, we simulate the nonstationary Langevin dynamics and obtained the generalized nonstationary fluctuation dissipation relation (FDR) which…

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

We perform molecular dynamics simulation on a glass-forming liquid binary mixture with the soft-core potential in three dimensions. We investigate crossover of the configuration changes caused by stringlike jump motions. With lowering the…

Soft Condensed Matter · Physics 2015-06-11 Takeshi Kawasaki , Akira Onuki

We compute the dynamical friction on a small perturber moving through an inviscid fluid, i.e., a superfluid. Crucially, we account for the tachyonic gravitational mass for sound waves, reminiscent of the Jeans instability of the fluid,…

High Energy Physics - Phenomenology · Physics 2019-11-06 Lasha Berezhiani , Benjamin Elder , Justin Khoury

Previous years researchers began to simulate open quantum system, taking into account the interaction between system and the environment. One approach to deal with this problem is to use the density matrix within the Liouville-von-Neumann…

Quantum Physics · Physics 2025-09-15 Mohammad Attrash , Roi Baer

We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any…

Analysis of PDEs · Mathematics 2025-06-17 Zhe Jiao , Yong Xu , Lijing Zhao

With the advent of advanced quantum processors capable of probing lattice gauge theories (LGTs) in higher spatial dimensions, it is crucial to understand string dynamics in such models to guide upcoming experiments and to make connections…

High Energy Physics - Lattice · Physics 2025-07-03 Kaidi Xu , Umberto Borla , Sergej Moroz , Jad C. Halimeh

We present the reduced dynamics of a bead in a Rouse chain which is submerged in a bath containing a driving agent that renders it out-of-equilibrium. We first review the generalized Langevin equation of the middle bead in an equilibrated…

Statistical Mechanics · Physics 2017-03-08 Hans Vandebroek , Carlo Vanderzande

We investigate nonequilibrium underdamped Langevin dynamics of Brownian particles that interact through a harmonic potential with coupling constant $K$ and are in thermal contact with two heat baths at different temperatures. The system is…

Statistical Mechanics · Physics 2015-05-26 Hyun-Myung Chun , Jae Dong Noh

We present a detailed derivation of the Langevin dynamics obeyed by a massive rigid body immersed in a chiral active bath. We show how the antisymmetric nature of the noise leads to an unusual relationship between the Langevin equation…

Statistical Mechanics · Physics 2025-04-02 Cory Hargus , Federico Ghimenti , Julien Tailleur , Frédéric van Wijland

When submerged in a chiral active bath, a passive object becomes a spinning ratchet imbued with odd transport properties. We present the most general Langevin dynamics for a rigid body in a chiral active bath, in the adiabatic limit of…

Statistical Mechanics · Physics 2025-04-02 Cory Hargus , Federico Ghimenti , Julien Tailleur , Frédéric van Wijland
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