Extensions and solutions for nonlinear diffusion equations and random walks
Volume: 475, Issue: 2231, Pages: 20190432 - 20190432
Published: Nov 1, 2019
Abstract
We investigate a connection between random walks and nonlinear diffusion equations within the framework proposed by Einstein to explain the Brownian motion. We show here how to properly modify that framework in order to handle different physical scenarios. We obtain solutions for nonlinear diffusion equations that emerge from the random walk approach and analyse possible connections with a generalized thermostatistics formalism. Finally, we...
Paper Details
Title
Extensions and solutions for nonlinear diffusion equations and random walks
Published Date
Nov 1, 2019
Volume
475
Issue
2231
Pages
20190432 - 20190432
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