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We prove a central limit theorem for the momentum distribution of a particle undergoing an unbiased spatially periodic random forcing at exponentially distributed times without friction. The start is a linear Boltzmann equation for the…

数学物理 · 物理学 2015-05-14 Jeremy Clark , Christian Maes

Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

统计力学 · 物理学 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

Dynamics of the particle phase in a particle laden turbulent flow is highly influenced by the fluctuating velocity and vorticity field of the fluid phase. The present work mainly focuses on exploring the possibility of applying a Langevin…

流体动力学 · 物理学 2021-06-08 Swagnik Ghosh , Partha Sarathi Goswami

For non-equilibrium systems of interacting particles and for interacting diffusions in d dimensions, a novel fluctuation relation is derived. The theorem establishes a quantitative relation between the probabilities of observing two current…

统计力学 · 物理学 2015-12-07 Carlos Pérez-Espigares , Frank Redig , Cristian Giardinà

Soft particulate media include a wide range of systems involving athermal dissipative particles both in non-living and biological materials. Characterization of flows of particulate media is of great practical and theoretical importance. A…

统计力学 · 物理学 2017-04-25 S. H. E. Rahbari , A. A. Saberi , H. Park , J. Vollmer

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

统计力学 · 物理学 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

Thermal and magnetic effects in a system consisting of thin layers of coupled Ising spins with $S=1/2$ and $S=1$ are considered. The specific heat and the correlation length display maxima at two different temperatures. It is discussed in…

统计力学 · 物理学 2016-08-31 Dragi Karevski , Malte Henkel

The precision of reaction-diffusion models for mesoscopic physical systems is limited by fluctuations. To account for this uncertainty, Van Kampen derived a stochastic Langevin-like reaction-diffusion equation that incorporates…

统计力学 · 物理学 2018-11-28 Roman Belousov , Adrian Jacobo , A. J. Hudspeth

A deterministic theory describing the behavior of an ultrathin lubricant film between two atomically-smooth solid surfaces is proposed. For the description of lubricant state the parameter of excess volume arising due to chaotization of…

统计力学 · 物理学 2011-03-30 I. A. Lyashenko , A. V. Khomenko , L. S. Metlov

In this expository note we highlight the correlation function method as a unified approach in proving both hydrodynamic limits and fluctuation limits for reaction diffusion particle systems. For simplicity we focus on the case when the…

概率论 · 数学 2021-01-12 Wai-Tong Louis Fan

A key feature of the classical Fluctuation Dissipation theorem is its ability to approximate the average response of a dynamical system to a sufficiently small external perturbation from an appropriate time correlation function of the…

数学物理 · 物理学 2019-10-02 Rafail V. Abramov

We study diffusion of particles on the surface of a sphere toward a partially reactive circular target with partly reversible binding kinetics. We solve the coupled diffusion-reaction equations and obtain the exact expressions for the…

统计力学 · 物理学 2019-11-05 Denis S. Grebenkov

A numerical model based on the finite-difference time-domain method is developed to simulate fluctuations which accompany the dephasing of atomic polarization and the decay of excited state's population. This model is based on the…

光学 · 物理学 2009-08-31 Jonathan Andreasen , Hui Cao

We consider a particle dragged through a medium at constant temperature as described by a Langevin equation with a time-dependent potential. The time-dependence is specified by an external protocol. We give conditions on potential and…

统计力学 · 物理学 2007-08-21 Marco Baiesi , Tim Jacobs , Christian Maes , Nikos S. Skantzos

We study the thermodynamics of ultrasmall metallic grains with level spacing $\delta$ comparable or smaller than the pairing correlation energy, at finite temperatures, $T \gsim \delta$. We describe a method which allows to find quantum…

超导电性 · 物理学 2007-05-23 G. Falci , A. Fubini

We present an exact expression for the mean exit time through the cap of a confining sphere for particles alternating phases of surface and of bulk diffusion. The present approach is based on an integral equation which can be solved…

统计力学 · 物理学 2012-11-16 J. -F. Rupprecht , O. Bénichou , D. S. Grebenkov , R. Voituriez

The role of dimensionality (Euclidean versus fractal), spatial extent, boundary effects and system topology on the efficiency of diffusion-reaction processes involving two simultaneously-diffusing reactants is analyzed. We present…

统计力学 · 物理学 2009-11-10 Jonathan L. Bentz , John J. Kozak , E. Abad , G. Nicolis

We study the dynamics of inertial particles in turbulence using datasets obtained from both direct numerical simulations and laboratory experiments of turbulent swirling flows. By analyzing time series of particle velocity increments at…

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

无序系统与神经网络 · 物理学 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

A method to study event--by--event fluctuations of the `chemical' (particle type) composition of the final state of high energy collisions is proposed.}

核理论 · 物理学 2011-09-13 Marek Gazdzicki
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