Abstract. In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions allow to calculate the mobility and diffusion coefficients as function of the electric field. The integral-differential equations derived by the above...

An Enskog-Landau kinetic equation for a many-component system of charged hard spheres is proposed. It has been obtained from the Liouville equation with modified boundary conditions by the method of nonequilibrium statistical operator. On the basis of this equation the normal solutions and transport coefficients such as bulk κ and shear η viscosities, thermal conductivity λ, mutual diffusion D ...

A statistical mechanical study of fluidized granular media is presented. Using a special energy injection mechanism, homogeneous fluidized stationary states are obtained. Molecular dynamics simulations and theoretical analysis of the inelastic hard-disk model show that there is a large asymmetry in the two-particle distribution function between pairs that approach and separate. Large velocity c...

Owing to the lack of consensus about way Chapman–Enskog should be performed, a new Taylor-expansion lattice-Boltzmann models is proposed. In contrast expansion, recalled in this manuscript, method only assumes sufficiently small time step. Based on Taylor collision kernel reinterpreted as closure for stress-tensor equation. Numerical coupling with other numerical schemes, also encompassed by me...

Developments in effective-range theory as applied to low-energy atomic scattering processes are reviewed. The focus is on the seminal contributions to this theory made by Larry Spruch, who showed how its original form could be extended to account for the presence of long-range forces arising from Coulomb interactions. The influence of this body of work on the very recent developments stimulated...

We propose a fast spectral method for solving the generalized Enskog equation for dense gases. For elastic collisions, the method solves the Enskog collision operator with a computational cost of O(Md 1Nd logN), where d is the dimension of the velocity space, and Md 1 and Nd are the number of solid angle and velocity space discretizations, respectively. For inelastic collisions, the cost is N t...

Lifting operators play an important role in starting a lattice Boltzmann model from a given initial density. The density, a macroscopic variable, needs to be mapped to the distribution functions, mesoscopic variables, of the lattice Boltzmann model. Several methods proposed as lifting operators have been tested and discussed in the literature. The most famous methods are an analytically found l...

Abstract We study the thermal dilepton and photon production from relativistic heavy ion collisions in presence of viscosities by employing recently developed second order dissipative hydrodynamic formulation estimated within a quasiparticle description quantum chromo-dynamics (QCD) medium. The sensitivity shear bulk viscous pressures to temperature dependence relaxation time is analyzed one- d...