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We employ the macroscopic fluctuation theory to study fluctuations of integrated current in one-dimensional lattice gases with a step-like initial density profile. We analytically determine the variance of the current fluctuations for a…

Statistical Mechanics · Physics 2015-06-05 P. L. Krapivsky , Baruch Meerson

Plasma density fluctuations in the edge plasma of the RFX-mod device are measured through the Gas Puffing Imaging Diagnostics. Statistical features of the signal are quantified in terms of the Probability Distribution Function (PDF), and…

Plasma Physics · Physics 2007-05-23 F. Sattin , P. Scarin , M. Agostini , R. Cavazzana , G. Serianni , M. Spolaore , N. Vianello

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…

Statistical Mechanics · Physics 2024-05-02 Davide Venturelli , Sarah A. M. Loos , Benjamin Walter , Édgar Roldán , Andrea Gambassi

The fluctuation-dissipation theorem requires the presence of thermal noise in viscous fluids. The time and length scales of heavy ion collisions are small enough so that the thermal noise can have a measurable effect on observables. Thermal…

Nuclear Theory · Physics 2015-04-16 C. Young , J. I. Kapusta , C. Gale , S. Jeon , B. Schenke

The diffusion of colloids inside an active system-e.g. within a living cell or the dynamics of active particles itself (e.g. self-propelled particles) can be modeled through overdamped Langevin equation which contains an additional noise…

Statistical Mechanics · Physics 2024-12-06 Koushik Goswami , K. L. Sebastian

We study the behavior of a tracer particle driven by a one-dimensional fluctuating potential, defined initially as a Brownian motion, and evolving in time according to the heat equation. We obtain two main results. First, in the short time…

Probability · Mathematics 2020-12-16 François Huveneers , François Simenhaus

A finite-time fluctuation theorem is proved for the diffusion-influenced surface reaction A<->B in a domain with any geometry where the species A and B undergo diffusive transport between the reservoir and the catalytic surface. A…

Statistical Mechanics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

Approximate expressions for correlation functions in binary inhomogeneous mixtures are derived in a framework of the mesoscopic theory [Ciach A., Mol. Phys., 2011, {\textbf{109}}, 1101]. Fluctuation contribution is taken into account in a…

Soft Condensed Matter · Physics 2020-05-26 A. Ciach , O. Patsahan , A. Meyra

We describe the random motion of a particle immersed in a thermally fluctuating medium and harmonically trapped at a certain distance from a wall. The medium, modeled by a Gaussian field with a tunable correlation length $\xi$, is linearly…

Statistical Mechanics · Physics 2025-11-27 Marcin Piotr Pruszczyk , Andrea Gambassi

We study the dynamics of an intruder moving through a fluidized granular medium in three dimensions ($d=3$). The intruder and grains have both translational and rotational degrees of freedom. The energy-dissipation mechanism is solid…

Soft Condensed Matter · Physics 2020-10-28 Prasenjit Das , Sanjay Puri , Moshe Schwartz

We analyze the behavior of an ensemble of inertial particles in a one-dimensional smooth Gaussian velocity field, in the limit of large inertia, but considering a finite correlation time for the random field. We derive in this limit a…

Statistical Mechanics · Physics 2009-11-13 Piero Olla , Raffaella Vuolo

We report on measurements of the transverse fluctuations of a string in a turbulent air jet flow. Harmonic modes are excited by the fluctuating drag force, at different wave-numbers. This simple mechanical probe makes it possible to measure…

Statistical Mechanics · Physics 2009-11-13 Vincent Grenard , Nicolas Garnier , Antoine Naert

We discuss a quantum effect in the diffusion process by developing a theory, which takes the finite curvature of the potential field into account. The transport coefficients of our theory satisfy the well-known fluctuation-dissipation…

Nuclear Theory · Physics 2009-11-10 Noboru Takigawa , Sakir Ayik , Kouhei Washiyama , Sachie Kimura

We study an idealized version of intermittent process leading the fluctuations of a stochastic dichotomous variable $\xi$. It consists of an overdamped and symmetric potential well with a cusp-like minimum. The right-hand and left-hand…

Statistical Mechanics · Physics 2007-05-23 Paolo Allegrini , Paolo Grigolini , Luigi Palatella , Angelo Rosa

We report that the power driving gravity and capillary wave turbulence in a statistically stationary regime displays fluctuations much stronger than its mean value. We show that its probability density function (PDF) has a most probable…

Fluid Dynamics · Physics 2009-11-13 Eric Falcon , Sebastien Aumaitre , Claudio Falcon , Claude Laroche , Stephan Fauve

Turbulent motions due to flux-driven thermal convection is investigated by numerical simulations and stochastic modelling. Tilting of convection cells leads to the formation of sheared flows and quasi-periodic relaxation oscillations for…

Fluid Dynamics · Physics 2020-08-26 G. Decristoforo , A. Theodorsen , O. E. Garcia

We consider the limiting behavior of fluctuations of small noise diffusions with multiple scales around their homogenized deterministic limit. We allow full dependence of the coefficients on the slow and fast motion. These processes arise…

Probability · Mathematics 2015-02-20 Konstantinos Spiliopoulos

We propose event by event velocity fluctuations of nuclear fission fragments as an additional interesting observable that gives access to the nuclear temperature in an independent way from spectral measurements and relates the diffusion and…

We study the stochastic behavior of heterogeneous diffusion processes with the power-law dependence $D(x)\sim|x|^{\alpha}$ of the generalized diffusion coefficient encompassing sub- and superdiffusive anomalous diffusion. Based on…

Statistical Mechanics · Physics 2014-12-24 Andrey G. Cherstvy , Ralf Metzler

We investigated the validity of fluctuation-dissipation relations in the nonequilibrium stationary state of fluidized granular media under gravity by two independent approaches, based on theory and numerical simulations. A phenomenological…

Statistical Mechanics · Physics 2012-07-03 Jun'ichi Wakou , Masaharu Isobe
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