We study the role of the noise in the dynamics of two competing species. We consider generalized Lotka–Volterra equations in the presence of a multiplicative noise, which models the interaction between the species and the environment. The interaction parameter between the species is a random...

The generalized hydrodynamic behavior of an Enskog moderately dense gas has been studied mainly through the correlation functions approach. However, the kinetic model based on the Grad's method to solve the Enskog equation seems to be a good alternative to such studies. In this work, we explore...

A new statistical mechanics approach to dense granular media is presented. The thermodynamic formalism is set out directly in terms of elastic potential energy, such that the configurational temperature (the intensive property which defines the steady state) relates to a quadratic function of...

The collective-mode spectrum of a multicomponent magnetized ionic mixture for small wave number k is studied with the use of magnetohydrodynamics and formal kinetic theory. Apart from the usual thermal and diffusive modes, the spectrum contains a set of four oscillating modes. By evaluating the...

A quasi-particle theory for monatomic gases in equilibrium is formulated and evaluated to yield the exact virial contributions to the thermodynamic state functions in lowest order of the density. Van der Waals blocking has necessarily to be accounted for in occupation number statistics. The...

The Bhatnagar–Gross–Krook kinetic model of the Boltzmann equation is solved for the steady cylindrical Poiseuille flow fed by a constant gravity field. The solution is obtained as a perturbation expansion in powers of the field (through fourth order) and for a general class of repulsive...

In this paper we consider an extended thermodynamic model for degenerate gases in which the first twenty moments of the gas distribution function are used as state variables. Exploiting the maximum entropy principle, we determine an analytic expression for the non-equilibrium distribution...

This paper is concerned with generalizations of the known local Lagrange formalism of first order. It will be applied to kinetic equations like the Fokker-Planck equation and the Boltzmann equation. In the latter case nonlocal methods are necessary from the very beginning. Nevertheless, in the...

A generalized kinetic theory [1] was proposed in order to have the possibility to treat particles which obey a very general statistics. By adopting the same approach, we generalize here the kinetic theory of electrons and phonons. Equilibrium solutions and their stability are investigated.

One of the outcomes of nuclear reactions is that reaction products have at birth distribution functions far from Maxwellian. What role do those distribution functions play in the evolution of the entropy of the system? The purpose of this work is to show the effect of the distribution functions...