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The energy dissipation in a gas of structured objects, e.g. molecules, is considered in density matrix formalism. It is shown that the macroscopic irreversibility of the kinetic processes can be considered as a consequence of the…

量子物理 · 物理学 2009-04-24 M. V. Altaisky

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…

The energy and structure of dilute gases of hard spheres in three dimensions is discussed, together with some aspects of the corresponding 2D systems. A variational approach in the framework of the Hypernetted Chain Equations (HNC) is used…

统计力学 · 物理学 2009-11-10 F. Mazzanti , A. Polls , A. Fabrocini

We prove an upper bound for the free energy (per unit volume) of the dilute Bose gas in the thermodynamic limit, showing that the free energy at density $\rho$ and inverse temperature $\beta$ differs from that of the non-interacting system…

数学物理 · 物理学 2025-12-22 Giulia Basti , Chiara Boccato , Serena Cenatiempo , Andreas Deuchert

Using simple scaling arguments and two-dimensional numerical simulations of a granular gas excited by vibrating one of the container boundaries, we study a double limit of small $1-r$ and large $L$, where $r$ is the restitution coefficient…

统计力学 · 物理学 2016-08-16 Sébastien Aumaître , Angel Alastuey , Stephan Fauve

We study ballistic aggregation on a two dimensional square lattice, where particles move ballistically in between momentum and mass conserving coalescing collisions. Three models are studied based on the shapes of the aggregates: in the…

统计力学 · 物理学 2023-10-20 Fahad Puthalath , Apurba Biswas , V. V. Prasad , R. Rajesh

Theory of granular dissipative gas is discussed based on Boltzmann's equation and in view of recent experimental results in micro-gravity during few CNES and ESA campaigns [9,11]. It is recalled that the Boltzmann's distribution is a steady…

软凝聚态物质 · 物理学 2007-05-23 P. Evesque

A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved and decay of energy like $t^{-2}$ is established.…

偏微分方程分析 · 数学 2008-11-12 D. Barbato , F. Flandoli , F. Morandin

A kinetic theory of relativistic gases in a two-dimensional space is developed in order to obtain the equilibrium distribution function and the expressions for the fields of energy per particle, pressure, entropy per particle and heat…

广义相对论与量子宇宙学 · 物理学 2009-11-07 G. M. Kremer , F. P. Devecchi

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…

软凝聚态物质 · 物理学 2007-05-23 Lou Kondic , R. P. Behringer

We experimentally study the dynamics of a degenerate one-dimensional Bose gas that is subject to a continuous outcoupling of atoms. Although standard evaporative cooling is rendered ineffective by the absence of thermalizing collisions in…

It is shown that the isochoric heat capacity of dense gas, fluid and liquid decreases with increasing temperature at arbitrary values of a density for many pair interaction potentials, including bonded potentials; that a decrease of the…

统计力学 · 物理学 2019-01-29 Ikhtier Umirzakov

Kinetic properties of a granular gas of viscoelastic particles in a homogeneous cooling state are studied analytically and numerically. We employ the most recent expression for the velocity-dependent restitution coefficient for colliding…

统计力学 · 物理学 2015-05-14 A. S. Bodrova , N. V. Brilliantov

We derive a general energy balance equation for a self-interacting boson gas at vanishing temperature in a curved spacetime. This represents a first step towards a formulation of the first law of thermodynamics for a scalar field in general…

广义相对论与量子宇宙学 · 物理学 2021-03-04 Tonatiuh Matos , Ana Avilez , Tula Bernal , Pierre-Henri Chavanis

3D-Particle Tracking (3D-PTV) and Phase Sensitive Constant Temperature Anemometry in pseudo-turbulence--i.e., flow solely driven by rising bubbles-- were performed to investigate bubble clustering and to obtain the mean bubble rise…

流体动力学 · 物理学 2012-11-14 J. Martinez , D. Chehata , D. P. M. van Gils , C. Sun , D. Lohse

As observational evidence increasingly consolidates the case for a cosmological constant being the source of the Universe's accelerated expansion, the question whether, and if so, how well, future experiments could detect deviations from…

宇宙学与河外天体物理 · 物理学 2012-08-27 Youness Ayaita , Bjoern Malte Schaefer , Maik Weber

Temporal analyses of the prompt gamma-ray and X-ray light curves of gamma-ray bursts reveal a tendency for the burst pulse time scales to increase with decreasing energy. For an ensemble of BATSE bursts, Fenimore et al. (1995) show that the…

天体物理学 · 物理学 2009-10-30 James Chiang

The dissipation rate due to inelastic collisions between equally charged, insulating particles in a granular gas is calculated. It is equal to the known dissipation rate for uncharged granular media multiplied by a Boltzmann-like factor,…

统计力学 · 物理学 2007-05-23 T. Scheffler , D. E. Wolf

Similarity solutions are found for the adiabatic collapse of density perturbations $\delta M/M \propto r^{-s}$ $(s>0)$ in a flat universe containing collisional gas only. The solutions are obtained for planar, cylindrical, and spherical…

天体物理学 · 物理学 2008-11-26 Leonid Chuzhoy , Adi Nusser

We study the kinetics of two-species annihilation, A+B--->0, when all particles undergo strictly biased motion in the same direction and with an excluded volume repulsion between same species particles. It was recently shown that the…

凝聚态物理 · 物理学 2009-10-28 I. Ispolatov , P. L. Krapivsky , S. Redner