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We present an approximation scheme to the master kinetic equations for aggregation and gelation with thermal breakup in colloidal systems with variable attraction energy. With the cluster fractal dimension $d_{f}$ as the only…

软凝聚态物质 · 物理学 2013-04-05 Alessio Zaccone , Jerome J. Crassous , Matthias Ballauff

The critical behavior of a 3D Ising-like system is studied at the microscopic level of consideration. The free energy of ordering is calculated analytically as an explicit function of temperature, an external field and the initial…

统计力学 · 物理学 2012-02-22 M. P. Kozlovskii , R. V. Romanik

We consider a low density Bose gas interacting through a repulsive potential in the thermodynamic limit. We justify, as a rigorous lower bound, a Lee--Huang--Yang type formula for the free energy at suitably low temperatures, where the…

From the analysis of the relaxation process of isolated lattice many-body quantum systems quenched far from equilibrium, we deduce a criterion for predicting when they are certain to thermalize. It is based on the algebraic behavior…

统计力学 · 物理学 2017-01-27 Marco Távora , E. J. Torres-Herrera , Lea F. Santos

The basic results in calculations of the thermodynamic functions of electromagnetic field in the background of a dilute dielectric ball at zero and finite temperature are presented. Summation over the angular momentum values is accomplished…

高能物理 - 理论 · 物理学 2009-11-07 V. V. Nesterenko , G. Lambiase , G. Scarpetta

The self-gravitating gas in thermal equilibrium is studied using a Newtonian potential regularized at short distances. This short distance cutoff permits us to obtain a complete description of the gas including its collapsed phase. We give…

天体物理学 · 物理学 2008-11-26 C. Destri , H. J. de Vega

We investigate the cooling rate of a gas of inelastically interacting particles. When we assume velocity dependent coefficients of restitution the material cools down slower than with constant restitution. This behavior might have large…

统计力学 · 物理学 2009-10-30 Thomas Schwager , Thorsten Poeschel

The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power law distribution suggested by the nonextensive…

天体物理学 · 物理学 2011-07-19 J. A. S. Lima , R. E. de Souza

One may impose to a system with spontaneous broken symmetry, boundary conditions which correspond to different pure states at two ends of a sample. For a discrete Ising-like broken symmetry, boundary conditions with opposite spins in two…

凝聚态物理 · 物理学 2007-05-23 E. Brézin , C. De Dominicis

During the formation of large galaxies, thermal instability leads to the formation of a population of cool fragments embedded within a background of tenuous hot gas. The hot gas attains a quasi-hydrostatic equilibrium. Although the cool…

天体物理学 · 物理学 2009-11-10 Stephen D. Murray , Douglas N. C. Lin

Thermal fluctuations of the granular gas under the homogeneous cooling state (HCS) are estimated using two-point kinetic theory by Tsuge-Sagara. Thermal fluctuations of the elastic gas are modified for the granular gas by nonequilibrium…

流体动力学 · 物理学 2011-02-22 Ryosuke Yano , Kojiro Suzuki

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…

统计力学 · 物理学 2009-11-10 Alexandre Rosas , Daniel ben-Avraham , Katja Lindenberg

We study analytically and by event-driven molecular dynamics simulations the nonergodic and aging properties of force-free cooling granular gases with both constant and velocity-dependent (viscoelastic) restitution coefficient $\varepsilon$…

统计力学 · 物理学 2015-10-28 Anna Bodrova , Aleksei V. Chechkin , Andrey G. Cherstvy , Ralf Metzler

We have used the generalized two-atom ideal gas model in Tsallis statistics for the statistical description of a real gas. By comparing the heat capacity with the experimental results for the two-atom molecule gases such as N2, O2 and CO,…

统计力学 · 物理学 2015-08-19 Lina Guo , Jiulin Du

The long-time solutions of the Galerkin-truncated three-dimensional, incompressible Euler equation relax to an absolute equilibrium as a consequence of phase space and kinetic energy conservation in such a finite-dimensional system. These…

流体动力学 · 物理学 2023-09-06 Sugan Durai Murugan , Samriddhi Sankar Ray

In the cluster expansion framework of Bose liquids we calculate analytical expressions of the two-body, three-body and four-body diagrams contributing to the g.s. energy of an infinite system of neutral alpha-particles at zero-temperature,…

核理论 · 物理学 2015-03-17 F. Carstoiu , S Misicu , V. Balanica , M. Lassaut

The expression of the free energy of a liquid in terms of an explicit decomposition of the particle configurations into local coordination clusters is examined. We argue that the major contribution to the entropy associated with structural…

软凝聚态物质 · 物理学 2016-06-10 Pierre Ronceray , Peter Harrowell

The decay of a small homogeneous perturbation of the temperature of a dilute granular gas in the steady uniform shear flow state is investigated. Using kinetic theory based on the inelastic Boltzmann equation, a closed equation for the…

统计力学 · 物理学 2012-12-18 J. Javier Brey , P. Maynar , M. I. Garcia de Soria

Neutral grains made of the same dielectric material can attain considerable charges due to collisions and generate long-range interactions. We perform molecular dynamic simulations in three dimensions for a dilute, freely-cooling granular…

软凝聚态物质 · 物理学 2018-02-15 Chamkor Singh , Marco G. Mazza

The thermalization of a gas towards a Maxwellian velocity distribution with the background temperature is described by a kinetic relaxation model. The sum of the kinetic energy of the gas and the thermal energy of the background are…

偏微分方程分析 · 数学 2023-07-18 Gianluca Favre , Marlies Pirner , Christian Schmeiser