Mathematical Modeling of Impurity Diffusion Processes in a Multiphase Randomly Inhomogeneous Body Using Feynman Diagrams

• Published in: Symmetry (Basel) Vol. 17; no. 6; p. 920
• Main Authors: Pukach, Petro, Chernukha, Yurii, Chernukha, Olha, Bilushchak, Yurii, Vovk, Myroslava
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 10.06.2025
• Subjects: Algorithms; Analysis; Body volume (biology); Cognition & reasoning; Configuration management; Differential equations; Diffusion layers; Feynman diagrams; Feynman, Richard P; Impurities; Inhomogeneous media; Mass transfer; Modelling; Multiphase; Operators (mathematics); Parabolic differential equations; Partial differential equations; Phase distribution; Physics; Quantum field theory; Symmetry; Theoretical physics; Velocity; Iran; Germany; Ukraine

Modeling of impurity diffusion processes in a multiphase randomly inhomogeneous body is performed using the Feynman diagram technique. The impurity diffusion equations are formulated for each of the phases separately. Their random boundaries are subject to non-ideal contact conditions for concentrat...