Relationship between flux and concentration gradient of diffusive particles with the usage of random walk model
Physics Department, Kazan Federal University, 4200008, Kazan, Russia
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Accepted: 25 July 2017
Published online: 7 September 2017
The fundamental solutions of the diffusion equation for the local-equilibrium and nonlocal models are considered as the limiting cases of the solution of a problem related to consideration of the Brownian particles random walks. The differences between fundamental solutions, flows and concentration gradients were studied. The new modified non-local diffusion equation of the telegrapher type with correction function is suggested. It contains only microparameters of the random walk problem.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017