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We discuss the relation between three recent approaches of describing the dynamics and the spatial distribution of particles suspended in turbulent flows: phase-space singularities in the inertial particle dynamics (caustics), real-space…

Fluid Dynamics · Physics 2015-06-05 K. Gustavsson , E. Meneguz , M. Reeks , B. Mehlig

We study a two-dimensional gas of inelastic smooth hard dimers. Since the collisions between dimers are dissipative, being characterized by a coefficient of restitution $\alpha<1$, and no external driving force is present, the energy of the…

In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with density-dependent diffusion coefficient encapsulating all microscopic details of the dynamics. This…

Statistical Mechanics · Physics 2018-02-23 Chikashi Arita , P L Krapivsky , Kirone Mallick

In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein-Cartan formalism. The main goal consists in analyzing the behavior of the solutions under the influence of a…

General Relativity and Quantum Cosmology · Physics 2018-08-15 F. A. Silveira , R. F. Sobreiro , A. A. Tomaz

A simple kinematical argument suggests that the classical approximation may be inadequate to describe the evolution of a system with an anisotropic particle distribution. In order to verify this quantitatively, we study the Boltzmann…

High Energy Physics - Phenomenology · Physics 2015-10-28 Thomas Epelbaum , Francois Gelis , Sangyong Jeon , Guy Moore , Bin Wu

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

Disordered Systems and Neural Networks · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

In this article we study a kinetic model which describes the interaction between a gas and radiation. Specifically, we consider a scaling limit in which the interaction between the gas and the photons takes place much faster than the…

Analysis of PDEs · Mathematics 2023-07-25 Elena Demattè

This paper investigates the dynamics of a one-dimensional piston expanding into a static rarefied gas. Using asymptotic analysis in the limit of vanishing initial density, we derive sharp estimates for the piston-shock distance, the…

Analysis of PDEs · Mathematics 2025-08-20 Dian Hu , Qianfeng Li , Yongqian Zhang

In this paper, we consider the kinetic model of continuous type describing a polyatomic gas in two different settings corresponding to a different choice of the functional space used to define macroscopic quantities. Such a model introduces…

Mathematical Physics · Physics 2021-02-16 Vladimir Djordjić , Milana Pavić-Čolić , Nikola Spasojević

Motivated by the conduction properties of graphene discovered and studied in the last decades, we consider the quantum dynamics of a massless, charged, spin 1/2 relativistic particle in three dimensional space-time, in the presence of an…

High Energy Physics - Theory · Physics 2019-12-24 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

We study at the microscopic level the dynamics of a one-dimensional gravitationally interacting sticky gas. Initially, N identical particles of mass m with uncorrelated, randomly distributed velocities fill homogeneously a finite region of…

Statistical Mechanics · Physics 2007-05-23 J. C. Bonvin , Ph. A. Martin , J. Piasecki , X. Zotos

Simulation results of dense granular gases with particles of different size are compared with theoretical predictions concerning the pair-correlation functions, the collison rate, the energy dissipation, and the mixture pressure. The…

Statistical Mechanics · Physics 2007-05-23 S. Luding , O. Strauss

We take advantage of the first data from the Sydney-AAO Multi-object Integral field (SAMI) Galaxy Survey to investigate the relation between the kinematics of gas and stars, and stellar mass in a comprehensive sample of nearby galaxies. We…

We investigate the velocity relaxation of a viscous one-dimensional granular gas, that is, one in which neither energy nor momentum is conserved in a collision. Of interest is the distribution of velocities in the gas as it cools, and the…

Statistical Mechanics · Physics 2009-11-10 Alexandre Rosas , Daniel ben-Avraham , Katja Lindenberg

We provide a detailed multiscale analysis of a system of particles interacting through a dynamical network of links. Starting from a microscopic model, via the mean field limit, we formally derive coupled kinetic equations for the particle…

Analysis of PDEs · Mathematics 2016-07-14 Julien Barré , Pierre Degond , Ewelina Zatorska

We use a three-dimensional molecular dynamics simulation to study the single particle distribution function of a dilute granular gas driven by a vertically oscillating plate at high accelerations ($15g - 90g$). We find that the density and…

Soft Condensed Matter · Physics 2009-11-10 Sung Joon Moon , J. B. Swift , Harry L. Swinney

This paper explores the application of Newton-Cartan geometry to the kinetic theory of gases that includes non-relativistic gravitational effects and the principle of general covariance. Starting with an introduction to the basics of…

High Energy Physics - Theory · Physics 2025-11-11 Paweł Matus , Rajesh Biswas , Piotr Surówka , Francisco Peña-Benítez

A class of static, vacuum solutions of (free-electromagnetic) Kaluza-Klein equations with three-dimensional spherical symmetry is studied. In order to explore the dynamic in such spacetimes, geodesic equations are obtained and the effective…

General Relativity and Quantum Cosmology · Physics 2013-05-06 Valentino Lacquaniti , Giovanni Montani , Daniela Pugliese

The Klein-Gordon equation for a scalar field sourced by a static spherically symmetric background is an interesting second-order differential equation with applications in particle physics, astrophysics, and elsewhere. Here we present…

Computational Physics · Physics 2024-07-17 Peter B. Denton

We study here the steady state attained in a granular gas of inelastic rough spheres that is subject to a spatially uniform random volume force. The stochastic force has the form of the so-called white noise and acts by adding impulse to…

Soft Condensed Matter · Physics 2015-11-05 Francisco Vega Reyes , Andrés Santos
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