Modeling steady-state processes of heat transfer in bodies of random structure using Feynmann diagrams

Abstract

The work is devoted to mathematical modeling steady-state processes of heat transfer in randomly nonhomogeneous multiphase structures. An integro-differential equation with a random kernel, whose solution is constructed in terms of Neumann series, is obtained in accordance with the boundary value problem of heat transfer. By using the technique of Feynman diagrams, analogues of equations of both Dyson and Bethe-Solpeter for the steady-state heat transfer processes in multiphase stochastically nonhomogeneous bodies are obtained.