Physical–mathematical modelling diffusion processes in bodies of random structure using generalized functions and Feynman diagrams

In the paper it is proposed new approach to physical–mathematical modelling mass transfer processes in multiphase randomly nonhomogeneous bodies. An initial-boundary value problem is formulated on the basis of Fick lows. The technique of Feynman diagrams is applied for investigating averaged diffusi...

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Bibliographic Details
Published in:International journal of engineering science 2005-11, Vol.43 (17), p.1337-1348
Main Authors: Chaplia, Yevgen, Chernukha, Olha
Format: Article
Language:English
Subjects:
Classical transport
Exact sciences and technology
Feynman diagrams
Fundamental areas of phenomenology (including applications)
Mass transfer processes
Multiphase body
Neumann series
Physics
Random diffusion field
Statistical physics, thermodynamics, and nonlinear dynamical systems
Transport processes
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Summary:In the paper it is proposed new approach to physical–mathematical modelling mass transfer processes in multiphase randomly nonhomogeneous bodies. An initial-boundary value problem is formulated on the basis of Fick lows. The technique of Feynman diagrams is applied for investigating averaged diffusive fields. A nonlocal equation of diffusion is obtained for an averaged Green function of the disturbed medium. A method is proposed for convergence acceleration of infinite integral Neumann series regarding diffusive processes.
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2005.05.012