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 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.