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The second part of the theory for the multicomponent nonisothermal nucleation is presented. The solution of the kinetic equation already derived in the first part is given with the help of the Chapman-Enskog procedure. At first the…

统计力学 · 物理学 2007-05-23 Victor Kurasov

We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations. The kinetic equation describes evolution of the spectral distribution function of solitons…

可精确求解与可积系统 · 物理学 2009-11-11 G. A. El , A. M. Kamchatnov

A recent model for monodisperse granular suspensions is used to analyze transport properties in spatially inhomogeneous states close to the simple (or uniform) shear flow. The kinetic equation is based on the inelastic Boltzmann (for low…

统计力学 · 物理学 2017-06-30 Vicente Garzó

In this paper, a physics-oriented stochastic kinetic scheme will be developed that includes random inputs from both flow and electromagnetic fields via a hybridization of stochastic Galerkin and collocation methods. Based on the BGK-type…

计算物理 · 物理学 2021-03-17 Tianbai Xiao , Martin Frank

A quantum kinetic formalism is developed to study the dynamical interplay of quantum and statistical-kinetic properties of non-equilibrium multi-parton systems produced in high-energy QCD processes. The approach provides the means to follow…

高能物理 - 唯象学 · 物理学 2008-11-26 Klaus Geiger

Hydrodynamic equations for a binary mixture of inelastic Maxwell models described by the Boltzmann equation are derived. The Navier-Stokes transport coefficients are {\em exactly} obtained by solving the Boltzmann equation from the…

统计力学 · 物理学 2007-05-23 Vicente Garzo , Jose Maria Montanero

In the paper the possible approaches to the rigorous derivation of the Boltzmann kinetic equation with hard sphere collisions from underlying dynamics are considered. In particular, a formalism for the description of the evolution of…

数学物理 · 物理学 2021-05-04 V. I. Gerasimenko

From Liouville's equation, a phase-space multi-scale transport equation is systematically derived. The proposed phase-space multi-scale transport equation based on the first principle indicates that the nonlinear stochastic transport is due…

等离子体物理 · 物理学 2014-01-14 Shaojie Wang

The Boltzmann collision operator for a dilute granular gas of inelastic rough hard spheres is much more intricate than its counterpart for inelastic smooth spheres. Now the one-body distribution function depends not only on the…

软凝聚态物质 · 物理学 2014-11-10 Andrés Santos

The diffusion transport coefficients of a binary granular suspension where one of the components is present in tracer concentration are determined from the (inelastic) Enskog kinetic equation. The effect of the interstitial gas on the solid…

软凝聚态物质 · 物理学 2023-08-30 Rubén Gómez González , Vicente Garzó

In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac equation, whose eigenvalues display a conical singularity…

数学物理 · 物理学 2016-11-23 Clotilde Fermanian Kammerer , Florian Méhats

Charged particle transport is an important energy transport mode in the combustion process of inertial confinement fusion plasma. On the one hand, charged particles inside the hot spot have a strong non-equilibrium effect, so it is…

等离子体物理 · 物理学 2023-09-26 Chang Liu , Bao Du , Peng Song

-We have performed a new efficient method to calculate numerically the transport coefficients at high temperature. The collision theory was treated to study singularities that occur when evaluating the collision cross section. The transport…

等离子体物理 · 物理学 2015-01-30 Ali Mahfouf , Pascal André , Géraldine Faure

A new kinetic model for multiphase flow was presented under the framework of the discrete Boltzmann method (DBM). Significantly different from the previous DBM, a bottom-up approach was adopted in this model. The effects of molecular size…

计算物理 · 物理学 2022-03-24 Yudong Zhang , Aiguo Xu , Jingjiang Qiu , Hongtao Wei , Zung-Hang Wei

The Borgnakke-Larsen model, widely used in rarefied flow predictions, serves as the mainstream energy-exchange kernel for polyatomic gases. However, it lacks integrability and does not guarantee detailed balance, limiting theoretical…

计算物理 · 物理学 2026-04-02 Sha Liu , Ningchao Ding , Ming Fang , Hao Jin , Rui Zhang , Congshan Zhuo , Chengwen Zhong

The motion of a charged particle moving on a flat surface is studied through the constants of motion associated to the system, given the magnetic gauge. The usual Landau' solution and the non separable solution for the Landau's gauge are…

量子物理 · 物理学 2025-01-28 Gustavo V. López , Jorge A. Lizarraga

We explore the possibility of describing the main transport properties of a granular gas by means of a model consisting of elastic hard spheres under the action of a drag force that mimics the inelastic cooling of the granular gas. Direct…

统计力学 · 物理学 2007-05-23 Antonio Astillero , Andres Santos

We review various numerical approaches to compute transport coefficients in molecular dynamics. These approaches can be broadly classified into three groups: (i) nonequilibrium methods based on applying an external driving field to the…

The static and dynamic properties of binary mixtures of hard spheres with a diameter ratio of $\sigma_B/\sigma_A=0.1$ and a mass ratio of $m_B/m_A=0.001$ are investigated using event driven molecular dynamics. The contact value of the pair…

软凝聚态物质 · 物理学 2013-09-30 Marcus N. Bannerman , Leo Lue

The analytical solution of the recently proposed ideal chain polymer mean-spherical approximation (Yu.Kalyuzhnyi, Mol.Phys., 94, 735(1998)) is presented for the multicomponent mixture of charged hard-sphere linear chain flexible molecules.…

凝聚态物理 · 物理学 2009-11-07 Yu. V. Kalyuzhnyi , P. T. Cummings