Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter June 1, 2005

Fractional Diffusion, Irreversibility and Entropy

  • X. Li , C. Essex , M. Davison , K. H. Hoffmann and C. Schulzky

Abstract

Three types of equations linking the diffusion equation and the wave equation are studied: the time fractional diffusion equation, the space fractional diffusion equation and the telegrapher's equation. For each type, the entropy production is calculated and compared. It is found that the two fractional diffusions, considered as linking bridges between reversible and irreversible processes, possess counter-intuitive properties: as the equation becomes more reversible, the entropy production increases. The telegrapher's equation does not have the same counter-intuitive behavior. It is suggested that the different behaviors of these equations might be related to the velocities of the corresponding random walkers.

:
Published Online: 2005-06-01
Published in Print: 2003-07-21

Copyright © 2003 by Walter de Gruyter GmbH & Co. KG

Downloaded on 28.3.2024 from https://www.degruyter.com/document/doi/10.1515/JNETDY.2003.017/html
Scroll to top button