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We discuss the quantum statistical fluctuations of energy in subsystems of hot relativistic gas for both spin-zero and spin half particles. We explicitly show the system size dependence of the quantum statistical fluctuation of energy. Our…

Nuclear Theory · Physics 2022-06-15 Arpan Das

The linear hydrodynamic stability of a model for confined quasi-two-dimensional granular gases is analyzed. The system exhibits homogeneous hydrodynamics, i.e. there are macroscopic evolution equations for homogeneous states. The stability…

Statistical Mechanics · Physics 2016-10-12 J. Javier Brey , V. Buzón , M. I. García de Soria , P. Maynar

We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these errors depend on Mach number, Knudsen number, number of…

Statistical Mechanics · Physics 2009-11-07 Nicolas Hadjiconstantinou , Alejandro L. Garcia , Martin Z. Bazant , Gang He

One of the major challenges in stochastic thermodynamics is to compute the distributions of stochastic observables for small-scale systems for which fluctuations play a significant role. Hitherto much theoretical and experimental research…

Statistical Mechanics · Physics 2021-09-08 Deepak Gupta , David A. Sivak

We probe, using a model system, elastic and kinetic energies for sheared granular materials. For large enough $P/E_y$ (pressure/Young's modulus) and $P/\rho v^2$ ($P/$kinetic energy density) elastic dominates kinetic energy, and energy…

Soft Condensed Matter · Physics 2007-05-23 Lou Kondic , R. P. Behringer

We analyse the linear response properties of the uniformly heated granular gas. The intensity of the stochastic driving fixes the value of the granular temperature in the non-equilibrium steady state reached by the system. Here, we…

Statistical Mechanics · Physics 2021-09-01 B. Sánchez-Rey , A. Prados

We study the stationary state of a one-dimensional kinetic model where a probe particle is driven by an external field E and collides, elastically or inelastically, with a bath of particles at temperature T. We focus on the stationary…

Statistical Mechanics · Physics 2013-05-30 G. Gradenigo , U. Marini Bettolo Marconi , A. Puglisi , A. Sarracino

We investigate the statistics of the fluctuations of the energy transfer between an overdamped Brownian particle, whose motion is confined by a stationary harmonic potential, and a surrounding viscoelastic fluid at constant temperature. We…

Statistical Mechanics · Physics 2023-10-19 Farshad Darabi , Brandon R. Ferrer , Juan Ruben Gomez-Solano

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

Energy dissipation in a nonequilibrium steady state is studied in driven quantum Langevin systems. We study energy dissipation flow to thermal environment, and obtain a general formula for the average rate of energy dissipation using an…

Statistical Mechanics · Physics 2009-11-13 Keiji Saito

We study by means of numerical simulations the model of dissipative particle dynamics with energy conservation for the simple case of thermal conduction. It is shown that the model displays correct equilibrium fluctuations and reproduces…

Statistical Mechanics · Physics 2016-08-31 Marisol Ripoll , Pep Español , Matthieu H. Ernst

We develop a general formalism for introducing stochastic fluctuations around thermodynamic equilibrium which takes into account, for the first time, recent developments on the causality and stability properties of relativistic hydrodynamic…

Nuclear Theory · Physics 2023-06-16 Nicki Mullins , Mauricio Hippert , Jorge Noronha

The volume fluctuations in the steady state reached by a vibrated granular gas of hard particles confined by a movable piston on the top are investigated by means of event driven simulations. Also, a compressibility factor, measuring the…

Statistical Mechanics · Physics 2015-05-18 J. Javier Brey , M. J. Ruiz-Montero

A generalization of the random fluid hydrodynamic fluctuation theory due to Landau and Lifshitz is applied to describe cosmological fluctuations in systems with radiation and scalar fields. The viscous pressures, parametrized in terms of…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-14 Mar Bastero-Gil , Arjun Berera , Ian G. Moss , Rudnei O. Ramos

We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair correlation function, static structure factor, and momentum density of the ground state of the two-dimensional homogeneous electron gas. We…

Mesoscale and Nanoscale Physics · Physics 2010-03-02 N. D. Drummond , R. J. Needs

We review some models of granular materials fluidized by means of external forces such as: random homogeneous forcing with damping, vibrating plates, flow in an inclined channel and flow in a double well potential. All these systems show…

Soft Condensed Matter · Physics 2009-11-10 Andrea Puglisi , Fabio Cecconi , Angelo Vulpiani

We develop a theory for fluctuations and correlations in a gas evolving under ballistic annihilation dynamics. Starting from the hierarchy of equations governing the evolution of microscopic densities in phase space, we subsequently…

Statistical Mechanics · Physics 2009-11-13 P. Maynar , M. I. Garcia de Soria , G. Schehr , A. Barrat , E. Trizac

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

Soft Condensed Matter · Physics 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia

The grand potential $\Omega$ and the response $R = - \partial \Omega /\partial x$ of a phase-coherent confined noninteracting electron gas depend sensitively on chemical potential $\mu$ or external parameter $x$. We compute their…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. Leboeuf , A. Monastra

Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard spheres or disks, a Boltzmann-Langevin equation for the one-particle distribution function of the homogeneous cooling state is…

Statistical Mechanics · Physics 2015-05-13 J. Javier Brey , P. Maynar , M. I. Garcia de Soria