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Nonlinear Transport Processes in Non‐Ideal Media
Author(s) -
Pavlov G. A.,
Troshchiev Yu. V.
Publication year - 2015
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201400050
Subject(s) - nonlinear system , ideal (ethics) , physics , transport theory , statistical physics , plasma , langevin equation , thermal , mass transport , classical mechanics , thermodynamics , quantum mechanics , philosophy , epistemology , engineering physics
The theory of non‐linear transport is elaborated to determine the Burnett transport properties of non‐ideal multielement plasma and neutral systems. The procedure of the comparison of the phenomenological conservation equations of a continuous dense medium and the microscopic equations for dynamical variables operators in the form of the generalized nonlinear Langevin equations is used for the definition of these properties. In consequence, the microscopic expressions of transport coefficients corresponding to second order thermal disturbances (temperature, mass velocity, etc.) have been found in the long‐wavelength and low frequency limits of correlations functions. Situations are considered when the use of nonlinear transport characteristics (in the Burnett approximation) significantly affects the results of modeling of hydrodynamic processes in dense charged and neutral media. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)