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Starting from the microscopic Smoluchowski equation for interacting Brownian particles under stationary shearing, exact expressions for shear-dependent steady-state averages, correlation and structure functions, and susceptibilities are…

Soft Condensed Matter · Physics 2009-11-11 Matthias Fuchs , Michael E. Cates

We investigate the total stochastic entropy production of a two-level bosonic open quantum system under protocols of time dependent coupling to a harmonic environment. These processes are intended to represent the measurement of a system…

Quantum Physics · Physics 2023-01-24 D. Matos , L. Kantorovich , I. J. Ford

We derive a distribution function for the position of a tagged active particle in a slowly varying in space external potential, in a system of interacting active particles. The tagged particle distribution has the form of the Boltzmann…

Soft Condensed Matter · Physics 2024-06-19 Alireza Shakerpoor , Elijah Flenner , Grzegorz Szamel

The stochastic dynamics of an active particle undergoing a constant speed and additionally driven by an overall fluctuating torque is investigated. The random torque forces are expressed by a stochastic differential equation for the angular…

Statistical Mechanics · Physics 2011-12-22 Christian Weber , Paul K. Radtke , Lutz Schimansky-Geier , Peter Hänggi

We characterize the dynamic non-equilibrium steady state behavior of active particles using density fluctuations in the system. We analyze the effective local density around a particle in the steady state and numerically calculate its mean,…

Statistical Mechanics · Physics 2025-04-22 Jayam Joshi , Pawan Kumar Mishra , Shradha Mishra

Fluctuations play a central role in many fields of physics, from quantum electrodynamics to statistical mechanics. In active matter physics, most models focus on thermal fluctuations due to a surrounding solvent. An alternative but much…

Soft Condensed Matter · Physics 2025-04-17 Sebastian Fehlinger , Kai Cui , Arooj Sajjad , Heinz Koeppl , Benno Liebchen

Methods of stochastic thermodynamics and hydrodynamics are applied to the a recently introduced model of active particles. The model consists of an overdamped particle subject to Gaussian coloured noise. Inspired by stochastic…

Statistical Mechanics · Physics 2017-10-09 Umberto Marini Bettolo Marconi , Andrea Puglisi , Claudio Maggi

We describe and implement a technique for extracting forces from the relaxation of an overdamped thermal system with normal modes. At sufficiently short time intervals, the evolution of a normal mode is well described by a one-dimensional…

Soft Condensed Matter · Physics 2009-11-13 Sunil K. Sainis , Vincent Germain , Eric R. Dufresne

The validity of the fluctuation theorem for entropy production as deduced from the observation of trajectories implicitly requires that all slow degrees of freedom are accessible. We experimentally investigate the role of hidden slow…

Soft Condensed Matter · Physics 2012-06-11 Jakob Mehl , Boris Lander , Clemens Bechinger , Valentin Blickle , Udo Seifert

Active systems evade the rules of equilibrium thermodynamics by constantly dissipating energy at the level of their microscopic components. This energy flux stems from the conversion of a fuel, present in the environment, into sustained…

Soft Condensed Matter · Physics 2022-03-15 Étienne Fodor , Robert L. Jack , Michael E. Cates

Active matter systems are driven out of thermal equilibrium by a lack of generalized Stokes-Einstein relation between injection and dissipation of energy at the microscopic scale. We consider such a system of interacting particles,…

Statistical Mechanics · Physics 2016-07-20 Étienne Fodor , Cesare Nardini , Mike E. Cates , Julien Tailleur , Paolo Visco , Frédéric van Wijland

In macroscopic systems behavior is usually reproducible and fluctuations, which are deviations from the typically observed mean values, are small. But almost all inverse problems in the physical and biological sciences are ill-posed and…

Statistical Mechanics · Physics 2017-08-09 Peter Burgholzer

Surface effects are generally prevailing in confined colloidal systems. Here we report on dispersed nanoparticles close to a fluid membrane. Exact results regarding the static organization are derived for a dilute solution of non-adhesive…

Statistical Mechanics · Physics 2009-11-10 Thomas Bickel , Mabrouk Benhamou , Hamid Kaidi

Suppose that particles are randomly distributed in $\bR^d$, and they are subject to identical stochastic motion independently of each other. The Smoluchowski process describes fluctuations of the number of particles in an observation region…

Statistics Theory · Mathematics 2021-08-17 A. Goldenshluger , R. Jacobovic

This article examines the spatial {dynamics of bed load particles} in water. We focus particularly on the fluctuations of particle activity, which is defined as the number of moving particles per unit bed {length}. Based on a stochastic…

Geophysics · Physics 2016-11-15 J. Heyman , H. B. Ma , F. Mettra , C. Ancey

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

Statistical Mechanics · Physics 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

Active contributions to fluctuations are a direct consequence of metabolic energy consumption in living cells. Such metabolic processes continuously create active forces, which deform the membrane to control motility, proliferation as well…

Biological Physics · Physics 2018-10-02 Hervé Turlier , Timo Betz

We discuss the stochastic thermodynamics of systems that are described by a time-dependent density field, for example simple liquids and colloidal suspensions. For a time-dependent change of external parameters, we show that the Jarzynski…

Statistical Mechanics · Physics 2014-03-18 T. Leonard , B. Lander , U. Seifert , T. Speck

Based on the Fokker-Planck and the entropy balance equations we have studied the relaxation of a dissipative dynamical system driven by external Ornstein-Uhlenbeck noise processes in absence and presence of nonequilibrium constraint in…

Statistical Mechanics · Physics 2009-11-07 Bidhan Chandra Bag

The dynamics of a probe particle is highly influenced by the nature of the bath in which it is immersed. In particular, baths composed by active (e.g., self-propelled) particles induce intriguing out-of-equilibrium effects on tracer's…

Statistical Mechanics · Physics 2023-10-04 Daniel Maria Busiello , Matteo Ciarchi , Ivan Di Terlizzi