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The probability density function of single-point velocity fluctuations in turbulence is studied systematically using Fourier coefficients in the energy-containing range. In ideal turbulence where energy-containing motions are random and…

Fluid Dynamics · Physics 2009-11-10 H. Mouri , M. Takaoka , A. Hori , Y. Kawashima

The dynamics of a tracer particle in a stationary driven granular gas is investigated. We show how to transform the linear Boltzmann equation describing the dynamics of the tracer into a master equation for a continuous Markov process. The…

Soft Condensed Matter · Physics 2015-06-25 Andrea Puglisi , Paolo Visco , Emmanuel Trizac , Frederic van Wijland

Recent progresses in single particle tracking have shown evidences of non-Gaussian distribution of displacements in living cells, both near the cellular membrane and inside the cytoskeleton. A similar behavior has also been observed in…

Biological Physics · Physics 2019-05-30 Yann Lanoiselée , Denis S. Grebenkov

This paper presents a molecular dynamics simulation of an inelastic gas, where collisions between molecules are characterized by a coefficient of restitution less than unity. The simulation employs an event-driven algorithm to efficiently…

Computational Physics · Physics 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

Ballistic transportation introduces new challenges in the thermodynamic properties of a gas of particles. For example, violation of mixing, ergodicity and of the fluctuation-dissipation theorem may occur, since all these processes are…

Disordered Systems and Neural Networks · Physics 2009-11-13 L. C. Lapas , I. V. L. Costa , M. H. Vainstein , F. A. Oliveira

In this work, the motion of a dust particle under the influence of the random force due to dust charge fluctuations is considered as a non-Markovian stochastic process. Memory effects in the velocity process of the dust particle are…

Plasma Physics · Physics 2017-10-26 Zahra Ghannad , Hossein Hakimi Pajouh

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

Statistical Mechanics · Physics 2018-12-19 Trevor GrandPre , David T. Limmer

We consider the velocity fluctuations of a system of particles described by the Inelastic Maxwell Model. The present work extends the methods, previously employed to obtain the one-particle velocity distribution function, to the study of…

Statistical Mechanics · Physics 2009-11-13 G. Costantini , U. Marini Bettolo Marconi , A. Puglisi

We study a one-dimensional model for granular gases, the so-called Inelastic Maxwell Model. We show theoretically the existence of stationary solutions of the unforced case, that are characterized by an infinite average energy per particle.…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , L. Brenig

The global energy fluctuations of a low density gas granular gas in the homogeneous cooling state near its clustering instability are studied by means of molecular dynamics simulations. The relative dispersion of the fluctuations is shown…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. I. Garcia de Soria , P. Maynar , M. J. Ruiz-Montero

We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior $<x^2 > \sim t^{1/2}$. We show the validity of the usual Fluctuation-Dissipation…

Statistical Mechanics · Physics 2008-10-10 D. Villamaina , A. Puglisi , A. Vulpiani

This article reports on an experimental study of the fluctuations of energy flux between a granular gas and a small driven harmonic oscillator. The DC-motor driving this system is used simultaneously as actuator and probe. The statistics of…

Statistical Mechanics · Physics 2011-12-12 Antoine Naert

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

Nuclear Theory · Physics 2015-05-30 T. S. Biro , E. Molnar

We focus on the dynamics of a Brownian particle whose mass fluctuates. First we show that the behaviour is similar to that of a Brownian particle moving in a fluctuating medium, as studied by Beck [Phys. Rev. Lett. 87 (2001) 180601]. By…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , M. Ausloos

A Brownian particle floating in a narrow corrugated (sinusoidal) channel with fluctuating cross section exhibits non-Gaussian normal diffusion. Its displacements are distributed according to a Gaussian law for very short and asymptotically…

Statistical Mechanics · Physics 2019-10-09 Yunyun Li , Fabio Marchesoni , Debajyoti Debnath , Pulak K. Ghosh

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

The steady state velocity fluctuations of a movable piston located on the top of a vibrated granular gas are studied by means of molecular dynamics simulations. From the second moment of the distribution, a temperature parameter for the…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero

In a granular gas experiment of magnetized particles confined in a thin layer, the rate of dissipative collisions is tuned by adjusting the amplitude of an external magnetic field. The velocity statistics are analyzed using the dynamic and…

Soft Condensed Matter · Physics 2020-04-22 Gustavo Castillo , Simon Merminod , Eric Falcon , Michael Berhanu

Non-Gaussian velocity distribution in star forming region is reproduced by inelastic clump collision model. We numerically calculated the evolution of inelastic hard spheres in sheared flow, which corresponds to cloud clumps in differential…

Astrophysics · Physics 2008-02-03 Shigeru Ida , Y-h. Taguchi

The dynamics of a test particle interacting with diffusing impurities in one dimension is investigated analytically and numerically. In the absence of an applied external force, the dynamics of the particle can be characterized by a…

Statistical Mechanics · Physics 2009-11-13 Lasse Laurson , Mikko J. Alava