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On a unified treatment of kinetics and diffusion, and a connection to a nonlocal boltzmann equation
Author(s) -
Ulmer W.
Publication year - 1985
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560270211
Subject(s) - boltzmann equation , boltzmann constant , connection (principal bundle) , diffusion , statistical physics , diffusion equation , physics , direct simulation monte carlo , term (time) , collision , convection–diffusion equation , kinetic theory , poisson–boltzmann equation , classical mechanics , mathematics , quantum mechanics , thermodynamics , computer science , monte carlo method , statistics , ion , geometry , economy , computer security , dynamic monte carlo method , economics , service (business)
Fick's law of diffusion has been generalized to include kinetic processes, the transport term of the Boltzmann equation, and nonlocal interaction processes. It is shown that the collision interaction term can be obtained by the introduction of a quantum stochastic potential equation. Some approximations of a nonlocal Boltzmann equation can be solved exactly. The solutions can be applied to problems of molecular pattern in biology.