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The macroscopic behavior of dissipative stochastic partial differential equations usually can be described by a finite dimensional system. This article proves that a macroscopic reduced model may be constructed for stochastic…

Mathematical Physics · Physics 2008-12-11 Wei Wang , A. J. Roberts

We investigate non-equilibrium behavior of driven dissipative systems, using the model presented in [Phys. Rev. Lett. 93, 240601 (2004)]. We solve the non-Boltzmann steady state energy distribution and the temporal evolution to it, and find…

Statistical Mechanics · Physics 2007-05-23 Yair Shokef , Dov Levine

We present a new method to solve the dynamics of disordered spin systems on finite time-scales. It involves a closed driven diffusion equation for the joint spin-field distribution, with time-dependent coefficients described by a dynamical…

Condensed Matter · Physics 2009-10-28 A. C. C. Coolen , S. N. Laughton , D. Sherrington

In simulations of high energy heavy ion collisions that employ viscous hydrodynamics, single particle distributions are distorted from their thermal equilibrium form due to gradients in the flow velocity. These are closely related to the…

Nuclear Theory · Physics 2017-01-31 P. Chakraborty , J. I. Kapusta

Due to the existence of multiple stationary distributions, we study the stability and instability of a stationary distribution for distribution dependent stochastic differential equations. This note is devoted to the instability of a…

Probability · Mathematics 2025-10-07 Shao-Qin Zhang

The stochastic properties of the total internal energy of a dilute granular gas in the steady uniform shear flow state are investigated. A recent theory formulated for fluctuations about the homogeneous cooling state is extended by analogy…

Statistical Mechanics · Physics 2012-09-24 J. Javier Brey , M. I. Garcia de Soria , P. Maynar

In previous papers of this series, we presented a formalism able to account for both statistical equilibrium of a multilevel atom and coherent and incoherent scatterings (partial redistribution). aims: This paper provides theoretical…

Solar and Stellar Astrophysics · Physics 2017-11-15 V. Bommier

In this paper we investigate the applicability of non-equilibrium statistical mechanics to non-equilibrium damage phenomena. As an example, a fiber-bundle model with thermal noise and a fiber-bundle model with decay of fibers are…

Statistical Mechanics · Physics 2009-05-25 S. G. Abaimov

In this work, a stochastic representation based on a physical transport principle is proposed to account for mesoscale eddy effects on the large-scale oceanic circulation. This stochastic framework arises from a decomposition of the…

Geophysics · Physics 2022-07-26 Long Li , Bruno Deremble , Noé Lahaye , Etienne Mémin

Measurement of energy dissipation in small nonequilibrium systems is generally a difficult task. Recently, Harada and Sasa [Phys.Rev.Lett. 95, 130602(2005)] derived an equality relating the energy dissipation rate to experimentally…

Statistical Mechanics · Physics 2009-11-11 Shoichi Toyabe , Hong-Ren Jiang , Takenobu Nakamura , Yoshihiro Murayama , Masaki Sano

We extend the canonical Gibbs distribution, originally formulated for systems at equilibrium, to systems driven out of equilibrium. The stochastic dynamics of a small system are described by a probability distribution over discrete energy…

Statistical Mechanics · Physics 2026-03-31 Jean-Luc Garden

We investigate the quantum Vlasov equation with a source term describing the spontaneous particle creation in strong fields. The back-reaction problem is treated by solving this kinetic equation together with the Maxwell equation which…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. A. Smolyansky , V. A. Mizerny , A. V. Prozorkevich , D. V. Vinnik , V. D. Toneev

We use a custom shear cell coupled to an optical microscope to investigate at the particle level the yielding transition in concentrated emulsions subjected to an oscillatory shear deformation. By performing experiments lasting thousands of…

Soft Condensed Matter · Physics 2014-08-27 E. D. Knowlton , D. J. Pine , L. Cipelletti

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis

In the present letter a method to find a proper expression for the force distribution inside a granular sample in static equilibrium is proposed. The method is based in statistical mechanics and the force distribution is obtained by…

Computational Physics · Physics 2015-03-13 S. A. Galindo-Torres

We derive analogues of the Jarzynski equality and Crooks relation to characterise the nonequilibrium work associated with changes in the spring constant of an overdamped oscillator in a quadratically varying spatial temperature profile. The…

Statistical Mechanics · Physics 2015-09-30 Ian J. Ford , Robert W. Eyre

Tensor analysis has been a widely studied in physics applications including circuit theory and electric machines. This paper reviews some of the main features of this type of representation for unbalanced power distribution systems and…

Optimization and Control · Mathematics 2018-05-14 Alejandro Garces

We propose and investigate a method for identifying timescales of dissipation in nonequilibrium steady states modeled as discrete-state Markov jump processes. The method is based on how the irreversibility-measured by the statistical…

Statistical Mechanics · Physics 2023-07-24 Freddy A. Cisneros , Nikta Fakhri , Jordan M. Horowitz

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation…

Statistical Mechanics · Physics 2023-07-31 Karol Makuch , Konrad Giżyński , Robert Hołyst , Anna Maciołek , Paweł J. Żuk

We consider a stochastic model described by two stochastic differential equations of motion; one is for the stochastic evolution forward in time and the other for backward in time. We further introduce averaged quantities for the two…

Statistical Mechanics · Physics 2009-07-21 T. Koide , M. Mine , M. Okumura , Y. Yamanaka