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In this paper, a generalized Brownian motion model has been applied to describe the relative particle dispersion problem in more realistic turbulent flows. The fluctuating pressure forces acting on a fluid particle are taken to be a colored…

流体动力学 · 物理学 2015-08-07 Bhimsen Shivamoggi

In this paper we study some thermal properties of quantum field theories in de Sitter space by means of holographic techniques. We focus on the static patch of de Sitter and assume that the quantum fields are in the standard Bunch-Davies…

高能物理 - 理论 · 物理学 2014-08-13 Willy Fischler , Phuc H. Nguyen , Juan F. Pedraza , Walter Tangarife

Over a century ago, Einstein formulated a precise mathematical model for describing Brownian motion. While this model adequately explains the diffusion of micron-sized particles in fluids, its limitations become apparent when applied to…

软凝聚态物质 · 物理学 2025-04-22 Harish Srinivasan , V. K. Sharma , S. Mitra

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

统计力学 · 物理学 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

We study the dynamics of magnetization coupled to a thermal bath of elastic modes using a system plus reservoir approach with realistic magnetoelastic coupling. After integrating out the elastic modes we obtain a self-contained equation for…

介观与纳米尺度物理 · 物理学 2016-08-31 Enrico Rossi , Olle G. Heinonen , A. H. MacDonald

Fractional Brownian motion, a Gaussian non-Markovian self-similar process with stationary long-correlated increments, has been identified to give rise to the anomalous diffusion behavior in a great variety of physical systems. The…

Exact theoretical results for the violation of time dependent fluctuation-dissipation relations in driven dissipative systems are presented. The ratio of correlation to delayed response in the stochastic model introduced in [Phys. Rev.…

统计力学 · 物理学 2007-05-23 Yair Shokef , Guy Bunin , Dov Levine

We study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

统计力学 · 物理学 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

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…

统计力学 · 物理学 2023-08-23 Pierre-Henri Chavanis

We prove that self-diffusion constants of interacting Brownian particles in $ \mathbb{R}$ always vanish if the particles do not collide with each other. We represent self-diffusion constants by additive functionals of reversible Markov…

概率论 · 数学 2017-02-21 Hirofumi Osada

The non-thermal nature of self-propelling colloids offers new insights into non-equilibrium physics. The central mathematical model to describe their trajectories is active Brownian motion, where a particle moves with a constant speed,…

A modified fluctuation-dissipation-theorem (MFDT) for a non-equilibrium steady state (NESS) is experimentally checked by studying the position fluctuations of a colloidal particle whose motion is confined in a toroidal optical trap. The…

We analyze the full-counting statistics of the electric heat current flowing in a two-terminal quantum conductor whose temperature is probed by a third electrode ("probe electrode"). In particular we demonstrate that the cumulant-generating…

介观与纳米尺度物理 · 物理学 2014-05-26 Y. Utsumi , O. Entin-Wohlman , A. Aharony , T. Kubo , Y. Tokura

The absence of a simple fluctuation-dissipation theorem is a major obstacle for studying systems that are not in thermodynamic equilibrium. We show that for a fluid in a non-equilibrium steady state characterized by a constant temperature…

统计力学 · 物理学 2024-07-03 T. R. Kirkpatrick , D. Belitz

Diffusion in a multidimensional energy surface with minima and barriers is a problem of importance in statistical mechanics and also has wide applications, such as protein folding. To understand it in such a system, we carry out theory and…

统计力学 · 物理学 2022-06-29 Subhajit Acharya , Biman Bagchi

The stochastic dynamics of micron and nanoscale cantilevers immersed in a viscous fluid are quantified. Analytical results are presented for long slender cantilevers driven by Brownian noise. The spectral density of the noise force is not…

介观与纳米尺度物理 · 物理学 2009-11-11 M. R. Paul , M. T. Clark , M. C. Cross

The dynamics of a binary system with non conserved order parameter under a plain shear flow with rate $\gamma $ is solved analytically in the large-N limit. A phase transition is observed at a critical temperature $T_c(\gamma)$. After a…

统计力学 · 物理学 2009-11-07 Federico Corberi , Giuseppe Gonnella , Eugenio Lippiello , Marco Zannetti

The properties of the thermal force driving micron particles in incompressible fluids are studied within the hydrodynamic theory of the Brownian motion. It is shown that the assumption used for the hydrodynamic Langevin equation in its…

统计力学 · 物理学 2012-10-16 Vladimir Lisy , Jana Tothova , Lukas Glod

Particle tracking and displacement covariance matrix techniques are employed to investigate the phonon dispersion relations of two-dimensional colloidal glasses composed of soft, thermoresponsive microgel particles whose…

软凝聚态物质 · 物理学 2015-06-16 Tim Still , Carl P. Goodrich , Ke Chen , Peter J. Yunker , Samuel Schoenholz , Andrea J. Liu , A. G. Yodh

The two-time correlation function of the displacement of a free quantum Brownian particle with respect to its position at a given time is calculated analytically in the framework of the Caldeira and Leggett ohmic dissipation model (linear…

统计力学 · 物理学 2009-10-31 Noelle Pottier , Alain Mauger