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Using the generalized Langevin equations involving the stress tensor approach, we study the dynamics of a perfectly reflecting mirror which is exposed to the electromagnetic radiation pressure by a laser beam in a fluid at finite…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Chun-Hsien Wu , Da-Shin Lee

We complete the kinetic theory of inhomogeneous systems with long-range interactions initiated in previous works. We use a simpler and more physical formalism. We consider a system of particles submitted to a small external stochastic…

Statistical Mechanics · Physics 2023-08-23 Pierre-Henri Chavanis

The characteristic function for the joint measurement of the changes of two commuting observables upon an external forcing of a quantum system is derived. In particular, the statistics of the internal energy, the exchanged heat and the work…

Statistical Mechanics · Physics 2009-02-18 Peter Talkner , Michele Campisi , Peter Hänggi

We analyze theoretically the dynamics of a single colloidal particle in an externally applied electric field. The thermal motions of microions lead to an anisotropic, nonequilibrium source of noise, pro- portional to the field, in the…

Statistical Mechanics · Physics 2009-07-03 Suropriya Saha , Sriram Ramaswamy

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

Statistical Mechanics · Physics 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

The paper is devoted to the problem of the determination of regular and thermal forces acting on microscopic and smaller objects in fluids. One of the methods how regular forces are determined is the measurement of the drift velocity of…

Statistical Mechanics · Physics 2012-02-21 Jana Tothova , Lukas Glod , Gabriela Vasziova , Vladimir Lisy

The discrete Boltzmann equation for both the ideal and a non-ideal fluid is extended by adding Langevin noise terms in order to incorporate the effects of thermal fluctuations. After casting the fluctuating discrete Boltzmann equation in a…

Computational Physics · Physics 2011-04-01 M. Gross , M. E. Cates , F. Varnik , R. Adhikari

We investigate the macroscopic behavior of the disordered harmonic chain of oscillators, through energy diffusion. The Hamiltonian dynamics of the system is perturbed by a degenerate conservative noise. After rescaling space and time…

Probability · Mathematics 2020-10-23 Clément Erignoux , Marielle Simon

The fluctuation-dissipation theory is grounded on the Langevin condition expressing the local independence between the thermal force and the particle velocity history. Upon hydrodynamic grounds, it is reasonable to relax this condition in…

Statistical Mechanics · Physics 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

We analyze the static response to kinetic perturbations of nonequilibrium steady states that can be modeled as diffusions. We demonstrate that kinetic response is purely a nonequilibirum effect, measuring the degree to which the…

Statistical Mechanics · Physics 2024-04-16 Qi Gao , Hyun-Myung Chun , Jordan M. Horowitz

We analyze the microscopic evolution of a system undergoing a far-from-equilibrium thermodynamic process. Explicitly accounting for the degrees of freedom of participating heat reservoirs, we derive a hybrid result, similar in form to both…

Statistical Mechanics · Physics 2007-05-23 C. Jarzynski

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

Statistical Mechanics · Physics 2022-02-24 Markus Rademacher , Michael Konopik , Maxime Debiossac , David Grass , Eric Lutz , Nikolai Kiesel

An equilibrium system which is perturbed by an external potential relaxes to a new equilibrium state, a process obeying the fluctuation-dissipation theorem. In contrast, perturbing by nonconservative forces yields a nonequilibrium steady…

Statistical Mechanics · Physics 2019-12-17 Kiryl Asheichyk , Matthias Krüger

Long-range thermal fluctuations appear in fluids in nonequilibrium states leading to fluctuation-induced Casimir-like forces. Two distinct mechanisms have been identified for the origin of the long-range nonequilibrium fluctuations in…

Statistical Mechanics · Physics 2016-02-03 T. R. Kirkpatrick , J. M. Ortiz de Zárate , J. V. Sengers

The Fluctuation Theorems are a group of exact relations that remain valid irrespective of how far the system has been driven away from equilibrium. Other than having practical applications, like determination of equilibrium free energy…

Statistical Mechanics · Physics 2016-11-04 Sourabh Lahiri , A. M. Jayannavar

We study out-of-equilibrium transport in disordered superconductors close to the superconducting transition. We consider a thin film connected by resistive tunnel interfaces to thermal reservoirs having different chemical potentials and…

Superconductivity · Physics 2013-10-21 Aleksandra Petković , Valerii M. Vinokur

Friction is a phenomenon that manifests across all spatial and temporal scales, from the molecular to the macroscopic scale. It describes the dissipation of energy from the motion of particles or abstract reaction coordinates and arises in…

We study large deviations in the Langevin dynamics, with damping of order $\e^{-1}$ and noise of order $1$, as $\e\downarrow 0$. The damping coefficient is assumed to be state dependent. We proceed first with a change of time and then, we…

Probability · Mathematics 2015-09-30 Sandra Cerrai , Mark Freidlin

Traditionally, the deformation of continuum is divided into elastic, plastic, and flow. For a large deformation with cracking, they are combined together. So, for complicated deformation, a formulation to express the evolution of…

Classical Physics · Physics 2007-05-23 Jianhua Xiao

We study the condensation phenomenon for the invariant measures of the mean-field model of reversible coagulation-fragmentation processes conditioned to a supercritical density of particles. It is shown that when the parameters of the…

Probability · Mathematics 2024-04-16 Wen Sun