Ja n 19 99 Normal solution to the Enskog - Landau kinetic equation . Boundary conditions method
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چکیده
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 boundary conditions method to hydrodynamic description of fast processes is discussed. The development of methods to construct a theory for nonequilibrium processes in dense gases, liquids and plasmas is an important direction in the modern theoretical physics. Moreover, the construction of kinetic equations for such classical and quantum systems still remains to be a major problem in the kinetic theory. It is complicated additionally in the case of dense gases, liquids and plasmas, where kinetics and hydrodynamics are closely connected and should be considered simultaneously [1–5]. An approach for construction of kinetic equations from the first principles of statistical mechanics, namely from the Liouville equation, has been developed in [6,7]. Another approach for obtaining kinetic equations fordense systems, which is based on ideas of papers [6,7], has also been proposed [1] and generalized in [2,3]. Here, the formulation of modified boundary conditions for the BBGKY hierarchy is used taking into account corrections connected with local conservation laws. On the basis of this sequential approach, a new Enskog-Landau kinetic equation has been obtained for an one-component system of charged hard spheres. There is a considerable interest of an application of this kinetic equation for description of transport processes in dense systems of
منابع مشابه
Normal solution to the Enskog-Landau kinetic equation. Boundary conditions method
Nonstationary and nonequilibrium processes are considered on the basis of an Enskog-Landau kinetic equation using a boundary conditions method. A nonstationary 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 b...
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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 ...
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Using charged hard spheres model as an example, the dense one-component plasma is considered. For this model the Enskog-Landau kinetic equation is obtained and its normal solution is found using Chapman-Enskog method. Transport coefficients are obtained numerically and analytically and compared with the experimental data available. PACS: 05.60.+w, 05.70.Ln, 05.20.Dd, 52.25.Dg, 52.25.Fi.
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