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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…

统计力学 · 物理学 2016-10-12 J. Javier Brey , V. Buzón , M. I. García de Soria , P. Maynar

Small perturbations of the homogeneous cooling state (HCS) for a low density granular gas are described by means of the linearized Boltzmann equation. The spectrum of the generator for this dynamics is shown to contain points corresponding…

统计力学 · 物理学 2009-11-11 J. Javier Brey , J. W. Dufty

Motivated by current interest in the dynamics of trapped quantum gases, we study the microcanonical dynamics of a trapped one-dimensional gas of classical particles interacting via a finite-range repulsive force of tunable strength. We…

统计力学 · 物理学 2018-08-01 Zhiyu Dong , R. Moessner , Masudul Haque

By using numerical simulations, we investigate the dynamics of a quantum system of interacting bosons. We find an increase of properly defined mixing properties when the number of particles increases at constant density or the interaction…

凝聚态物理 · 物理学 2009-10-28 Giovanni Jona-Lasinio , Carlo Presilla

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

软凝聚态物质 · 物理学 2009-10-31 Sadhan K. Adhikari

We study the statistical mechanics of the self-gravitating gas at thermal equilibrium with two kinds of particles. We start from the partition function in the canonical ensemble which we express as a functional integral over the densities…

天体物理学 · 物理学 2009-11-07 H. J. de Vega , J. A. Siebert

A simple exactly solvable kinetic model for the non-linear inelastic hard sphere Boltzmann equation is used to explore the relevance of hydrodynamics for a granular gas. The equation predicts a non-trivial homogeneous cooling state (HCS),…

软凝聚态物质 · 物理学 2007-05-23 Aparna Baskaran , James W. Dufty

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the temperature-dependent influence parameter instead of the van der…

数值分析 · 数学 2018-08-01 Jisheng Kou , Shuyu Sun

Coupled mixed convective and stratified systems are common in natural flows. To study experimentally the associated dynamics, we use a singular property of water: its non-linear equation of state is characterised by a maximum density close…

流体动力学 · 物理学 2020-11-10 Pierre Léard , Benjamin Favier , Patrice Le Gal , Michael Le Bars

The dynamics of rapidly collapsing bubbles are of great interest due to the high degree of energy focusing that occurs withing the bubble. Molecular dynamics provides a way to model the interior of the bubble and couple the gas dynamics…

计算物理 · 物理学 2013-06-27 Spenser Bauman , Max Fomitchev-Zamilov

In finite-dimensional dynamical systems, stochastic stability provides the selection of physical relevant measures from the myriad invariant measures of conservative systems. That this might also apply to infinite-dimensional systems is the…

动力系统 · 数学 2019-12-12 F. Cipriano , H. Ouerdiane , R. Vilela Mendes

The presented paper is an attempt to investigate the dynamical states of an hydrodynamical isothermal turbulent self-gravitating system using some powerful tools of the classical thermodynamics. Our main assumption, inspired by the work of…

星系天体物理 · 物理学 2023-11-21 Sava Donkov , Ivan Zh. Stefanov , Todor V. Veltchev

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

偏微分方程分析 · 数学 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

材料科学 · 物理学 2009-11-13 Th. Voigtmann

Rough surfaces submerged in a liquid can remain almost dry if the liquid does not fully wet the roughness and gases are sustained in roughness grooves. Such partially dry surfaces can help reduce drag or enhance boiling. Gases sustained in…

软凝聚态物质 · 物理学 2016-06-20 Neelesh A. Patankar

This work presents the application of density-based topology optimisation to the design of three-dimensional heat sinks cooled by natural convection. The governing equations are the steady-state incompressible Navier-Stokes equations…

流体动力学 · 物理学 2018-09-14 Joe Alexandersen , Ole Sigmund , Niels Aage

Evidence implies that basic laws of thermodynamics must be tested by experiments. In this paper, an experiment is designed to measure the entropy of a system with at least one known (measurable) equation of state, especially the gas…

综合物理 · 物理学 2007-05-23 Bin Zhou

We use hydrodynamics to investigate non-stationary channel flows of freely cooling dilute granular gases. We focus on the regime where the sound travel time through the channel is much shorter than the characteristic cooling time of the…

软凝聚态物质 · 物理学 2009-11-13 Baruch Meerson , Itzhak Fouxon , Arkady Vilenkin

It is shown that the entropy of low density monochromatic gravitational waves, waves required for the stabilization of the crystalline structure of vacuum cosmic space, varies with the volume in the same manner as the entropy of an ideal…

The ultra-relativistic Euler equations for an ideal gas are described in terms of the pressure, the spatial part of the dimensionless four-velocity and the particle density. Radially symmetric solutions of these equations are studied in two…

数学物理 · 物理学 2024-02-21 Matthias Kunik , Adrian Kolb , Siegfried Müller , Ferdinand Thein