The diagrammatic method of Prigogine and co-workers is applied to the problem of the derivation of the kinetic equation for adsorbed gases. The model of a two-dimensional rarified gas is presented and the general statistical-mechanical description of this model is elaborated. The appropriate classes...
A derivation of the equation of Brownian motion from the kinetic equation for weakly interacting gasesThe kinetic equation for a spatially uniform gas of weakly interacting point particles is used to derive the more conventional linear Fokker-Planck equation used in the description of Brownian motion....
The proposed general procedure of the derivation of the kinetic equation is illustrated by the examples of the Korteweg-de Vries and nonlinear Schrdinger (NLS) equations. As a simple physical example, we construct an explicit solution for the case of interaction of two cold NLS soliton gases. ...
摘要: The non-Markoffian kinetic equation for the single-particle distribution function of a classical system is derived by means of introducing in the Liouville equation the infinitesimal sources. The known kinetic equations follow from this equation in the Markoffian approach....
In this case, the Vlasov kinetic equation applies to the plasma. N. N. Bogoliubov developed the most consistent and effective methods for the derivation of kinetic equations based on the dynamics of systems consisting of a large number of particles. REFERENCESBoltzmann, L. Lektsii po teorii ...
Equation of Kinetic Theory of Gases Derivation The kinetic theory of gases says that the macroscopic properties of a gas i.e. pressure, volume, and temperature are just a result of the microscopic properties of gas molecules such as position, velocity, etc. So when particles in a box collide...
The derivation of model kinetic equation for gases and for plasmas A new form of the model collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is derived. One-component and many-component systems are ... V Belyi 被引量: 0发表: 2014年 Cosmic-ray transport and accelerat...
Derivation of the kinetic theory formula Remember that what follows applies to ideal gases only; the assumptions that we make certainly do not all apply to solids and liquids. This proof was originally proposed by Maxwell in 1860. He considered a gas to be a ...
A kinetic equation for the motion of solid particles in a liquid or gas is derived on the basis of the Fokker-Planck-Kolmogorov diffusion equation for the N particle distribution function. It is shown that, under appropriate assumptions, Bogolyubov's method can also be applied to equations of...