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In this work, it is suggested that the extremum complexity distribution of a high dimensional dynamical system can be interpreted as a piecewise uniform distribution in the phase space of its accessible states. When these distributions are…

混沌动力学 · 物理学 2015-05-13 Xavier Calbet , Ricardo Lopez-Ruiz

The time evolution equations of a simplified isolated ideal gas, the "tetrahe- dral" gas, are derived. The dynamical behavior of the LMC complexity [R. Lopez-Ruiz, H. L. Mancini, and X. Calbet, Phys. Lett. A 209, 321 (1995)] is studied in…

混沌动力学 · 物理学 2015-06-26 Xavier Calbet , Ricardo Lopez-Ruiz

Dynamics of inelastic gases are studied within the framework of random collision processes. The corresponding Boltzmann equation with uniform collision rates is solved analytically for gases, impurities, and mixtures. Generally, the energy…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , P. L. Krapivsky

The mutual derivation between arbitrary distribution forms of momenta and momentum components of particles produced in an isotropic emission source are systematically studied in terms of probability theory and mathematical statistics. The…

核理论 · 物理学 2019-07-23 Pei-Pin Yang , Qi Wang , Fu-Hu Liu

An operator that governs the discrete time evolution of the velocity distribution of an out-of-equilibrium ideal gas will be presented. This nonlinear map, which conserves the momentum and the energy of the ideal gas, has the Maxwellian…

适应与自组织系统 · 物理学 2011-12-25 Ricardo Lopez-Ruiz , Elyas Shivanian

The issue of the thermalization of an isolated quantum system is addressed by considering a perfect gas confined by gravity and initially trapped above a certain height. As we are interested in the behavior of truly isolated systems, we…

介观与纳米尺度物理 · 物理学 2009-11-13 S. Camalet

In one-dimensional (1D) quantum gases, the momentum distribution (MD) of the atoms is a standard experimental observable, routinely measured in various experimental setups. The MD is sensitive to correlations, and it is notoriously hard to…

统计力学 · 物理学 2023-08-04 Stefano Scopa , Paola Ruggiero , Pasquale Calabrese , Jerôme Dubail

In this work, a new model in kinetic gas theory for deriving the Maxwellian Velocity Distribution (MVD) is proposed. We construct an operator that governs the discrete time evolution of the velocity distribution. This operator, which…

适应与自组织系统 · 物理学 2015-05-28 Elyas Shivanian , Ricardo Lopez-Ruiz

The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell (VM) system. These equations are considered in one space dimension and two momentum dimensions without the assumption…

偏微分方程分析 · 数学 2016-04-18 Robert Glassey , Stephen Pankavich , Jack Schaeffer

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…

统计力学 · 物理学 2007-05-23 J. C. Bonvin , Ph. A. Martin , J. Piasecki , X. Zotos

We provide experimental evidence of universal dynamics far from equilibrium during the relaxation of an isolated one-dimensional Bose gas. Following a rapid cooling quench, the system exhibits universal scaling in time and space, associated…

量子气体 · 物理学 2018-11-12 S. Erne , R. Buecker , T. Gasenzer , J. Berges , J. Schmiedmayer

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

The velocity distribution of a fluidized dilute granular gas in the direction perpendicular to the gravitational field is investigated by means of Molecular Dynamics simulations. The results indicate that the velocity distribution can be…

统计力学 · 物理学 2009-11-07 J. Javier Brey , M. J. Ruiz-Montero

Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For an initial symmetric three-velocity distribution, the problem can be solved exactly and it is…

凝聚态物理 · 物理学 2009-10-22 Michel Droz , Pierre-Antoine Rey , Laurent Frachebourg , Jarosław Piasecki

The velocity distribution of inelastic granular gas is examined numerically on two dimensional hard disk system in nearly elastic regime using molecular dynamical simulations. The system is prepared initially in the equilibrium state with…

统计力学 · 物理学 2009-11-07 Hiizu Nakanishi

We review the out-of-equilibrium properties of a self-gravitating gas of particles in the presence of a strong friction and a random force (canonical gas). We assume a bare diffusion coefficient of the form $D(\rho)=T\rho^{1/n}$, where…

统计力学 · 物理学 2010-03-05 Clément Sire , Pierre-Henri Chavanis

We consider a one-dimensional gas of $N$ charged particles confined by an external harmonic potential and interacting via the one-dimensional Coulomb potential. For this system we show that in equilibrium the charges settle, on an average,…

统计力学 · 物理学 2018-10-30 Abhishek Dhar , Anupam Kundu , Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

This work explores the different shapes that can be realized by the one-particle velocity distribution functions (VDFs) associated with the fourth-order maximum-entropy moment method. These distributions take the form of an exponential of a…

统计力学 · 物理学 2024-03-02 Stefano Boccelli , Fabien Giroux , James G. McDonald

We consider a heavy piston in an infinite cylinder surrounded by ideal gases on both sides. The piston moves under elastic collisions with gas atoms. We assume here that the gases always exert equal pressures on the piston, hence the piston…

统计力学 · 物理学 2007-05-23 N. Chernov

The kinetics of collisionless continuous medium is studied in a bounded region on a curved manifold. We have assumed that in statistical equilibrium, the probability distribution density depends only on the total energy. It is shown that in…

混沌动力学 · 物理学 2007-05-23 V. V. Kozlov
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