Shear viscosity is a measure of the amount of dissipation in a simple fluid. In kinetic theory shear viscosity is related to the rate of momentum transport by quasi-particles, and the uncertainty relation suggests that the ratio of shear viscosity η to entropy density s in units of h̄/kB is bounded by a constant. Here, h̄ is Planck’s constant and kB is Boltzmann’s constant. A specific bound has b...

On the basis of relationship between kinetic equation for two soliton clouds in theory Korteweg-de Vries and equations Chaplygin gas dynamics it is shown that existence waves propagating without a change their form fundamental property nonlinear gases. The solutions several typical problems are considered characteristic features such dynamics, which make possible to estimate effects interaction...

Nonstationary and nonequilibrium processes are considered on the basis of an Enskog-Landau kinetic equation using a boundary conditions method. A nonsta-tionary solution of this equation is found in the pair collision approximation. This solution takes into account explicitly the influence of long-range interactions. New terms to the transport coefficients are identified. An application of the ...

Inspired by the kinetic theory of ergodic gases and chaotic billiards, we propose a simple microscopic mechanism for the increase of thermoelectric efficiency. We consider the cross transport of particles and energy in open classical ergodic billiards. We show that, in the linear response regime, where we find exact expressions for all transport coefficients, the thermoelectric efficiency of id...

The paper investigates the Urysohn’s nonlinear integral equation on positive half-line. Some special cases of this have specific applications in different areas modern natural science. In particular, such equations arise kinetic theory gases,

We study velocity statistics of electrostatically driven granular gases. For two different experiments, (i) nonmagnetic particles in a viscous fluid and (ii) magnetic particles in air, the velocity distribution is non-Maxwellian, and its high-energy tail is exponential, P(upsilon) approximately exp(-/upsilon/). This behavior is consistent with the kinetic theory of driven dissipative particles....

Nonlinear quadratic functional integral equations are often applicable for instance in the theory of radiative transfer, kinetic theory of gases, in the theory of neutron transport, in traffic theory and in numerous branches of mathematical physics (cf. [3, 7, 10, 11]). Additionally, some problems (motivated by some practical interests in plasma physics) was investigated in [28]. It is worthwhi...

Consider the steady Boltzmann equation with slab symmetry for a monatomic, hard sphere gas in half space. At boundary of space, it is assumed that contact its condensed phase. The present paper discusses existence and uniqueness uniformly decaying layer type solution this situation, vicinity Maxwellian equilibrium zero bulk velocity, same temperature as phase, whose pressure saturating vapor at...