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Fluctuating hydrodynamics provides a quantitative, large-scale description of many-body systems in terms of smooth variables, with microscopic details entering only through a small set of transport coefficients. Although this framework has…

Computing analytically the $n$-point density correlations in systems of interacting particles is a long-standing problem of statistical physics, with a broad range of applications, from the interpretation of scattering experiments in simple…

统计力学 · 物理学 2025-07-01 Louison Le Bon , Antoine Carof , Pierre Illien

We consider the application of fluctuation relations to the dynamics of coarse-grained systems, as might arise in a hypothetical experiment in which a system is monitored with a low-resolution measuring apparatus. We analyze a stochastic,…

统计力学 · 物理学 2007-09-19 Saar Rahav , Christopher Jarzynski

Stochastic thermodynamics provides a framework for describing small systems like colloids or biomolecules driven out of equilibrium but still in contact with a heat bath. Both, a first-law like energy balance involving exchanged heat and…

统计力学 · 物理学 2012-05-21 Udo Seifert

A general formulation of stochastic thermodynamics is presented for open systems exchanging energy and particles with multiple reservoirs. By introducing a partition in terms of "macrostates" (e.g. sets of "microstates"), the consequence on…

统计力学 · 物理学 2015-06-03 Massimiliano Esposito

We present the conceptual and technical background required to describe and understand the correlations and fluctuations of the empirical density and current of steady-state diffusion processes on all time scales -- observables central to…

统计力学 · 物理学 2023-04-06 Cai Dieball , Aljaž Godec

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

统计力学 · 物理学 2024-04-18 Gyula I. Tóth

In this work, I derive the time-dependent probability density function of classical observables using the Hamiltonian mechanics approach, extending the notion of fluctuation theorems for any observables. In particular, the time-dependent…

统计力学 · 物理学 2023-10-13 Pierre Nazé

The recently established connection between stochastic thermodynamics and fluctuating hydrodynamics is applied to a study of efficiencies in the coupled transport of heat and matter on a small scale. A stochastic model for a mesoscopic cell…

统计力学 · 物理学 2019-04-01 Jean-François Derivaux , Yannick De Decker

We study the dynamics of a trapped, charged Brownian particle in presence of a time dependent magnetic field. We calculate work distributions for different time dependent protocols. In our problem thermodynamic work is related to variation…

统计力学 · 物理学 2009-11-13 Arnab Saha , A. M. Jayannavar

Based on Brownian dynamics simulations, we investigate the thermodynamic signatures of non-equilibrium steady states in a confined colloidal suspensions under shear flow. Specifically, we consider a thin film consisting of charged particles…

软凝聚态物质 · 物理学 2019-01-02 Sascha Gerloff , Sabine H. L. Klapp

The theoretical understanding of active matter, which is driven out of equilibrium by directed motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other hand, is a comprehensive theoretical framework for driven…

统计力学 · 物理学 2017-01-05 Thomas Speck

We develop a framework for the stochastic thermodynamics of a probe coupled to a fluctuating medium with spatio-temporal correlations, described by a scalar field. For a Brownian particle dragged by a harmonic trap through a fluctuating…

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…

统计力学 · 物理学 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

统计力学 · 物理学 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

Stochastic thermodynamics extends the notions and relations of classical thermodynamics to small systems that experience strong fluctuations. The definitions of work and heat and the microscopically reversible condition are two key concepts…

统计力学 · 物理学 2019-07-23 Geng Li , Z. C. Tu

In this work, we numerically verify the Jarzynski equality and Crook fluctuation theorem for a Brownian particle diffusing in a heterogeneous thermal bath and hence having a non-Gaussian position distribution. We use the…

统计力学 · 物理学 2026-03-05 A. Saravanan , I. Iyyappan

We develop a theory of fluctuations for Brownian systems with weak long-range interactions. For these systems, there exists a critical point separating a homogeneous phase from an inhomogeneous phase. Starting from the stochastic…

统计力学 · 物理学 2009-11-13 Pierre-Henri Chavanis

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

统计力学 · 物理学 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

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…

软凝聚态物质 · 物理学 2009-11-11 Matthias Fuchs , Michael E. Cates
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