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Kinetic Approach to Reaction and Diffusion in Many‐Particle Systems
Author(s) -
Klimontovich Yu. L.,
Schlanges M.,
Bornath T.
Publication year - 1990
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.2150300303
Subject(s) - diffusion , reaction–diffusion system , particle (ecology) , kinetic energy , reaction rate , chemical reaction , quantum , connection (principal bundle) , basis (linear algebra) , kinetic theory , rate equation , statistical physics , physics , thermodynamics , classical mechanics , quantum mechanics , mathematics , kinetics , chemistry , catalysis , biochemistry , oceanography , geometry , geology
A derivation of hydrodynamic equations which describe diffusion in connection with reaction processes in many‐particle systems is given on the basis of quantum kinetic theory. For this purpose kinetic equations are derived for a quantum gas with chemical reactions. Following Grad's method in a linear approximation reaction‐diffusion equations can be obtained with explicite expressions for the diffusion and reaction rate coefficients. The influence of nonideality effects in reaction‐diffusion equations is discussed.