caa a22 4500 378860887 CHVBK 20180305123346.0 cr unu---uuuuu 161128e20030721xx s 000 0 eng 10.1515/JNETDY.2003.017 doi (NATIONALLICENCE)gruyter-10.1515/JNETDY.2003.017 Fractional Diffusion, Irreversibility and Entropy [Elektronische Daten] [X. Li, C. Essex, M. Davison, K. H. Hoffmann, C. Schulzky] 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. Copyright © 2003 by Walter de Gruyter GmbH & Co. KG Thermodynamics & statistical physics nationallicence Heat transfer processes nationallicence Li X. aut Essex C. aut Davison M. aut Hoffmann K. H. aut Schulzky C. aut Journal of Non-Equilibrium Thermodynamics Walter de Gruyter 28/3(2003-07-21), 279-291 0340-0204 28:3<279 2003 28 jnet https://doi.org/10.1515/JNETDY.2003.017 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/JNETDY.2003.017 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li X. aut NATIONALLICENCE 700 1- Essex C. aut NATIONALLICENCE 700 1- Davison M. aut NATIONALLICENCE 700 1- Hoffmann K. H. aut NATIONALLICENCE 700 1- Schulzky C. aut NATIONALLICENCE 773 0- Journal of Non-Equilibrium Thermodynamics Walter de Gruyter 28/3(2003-07-21), 279-291 0340-0204 28:3<279 2003 28 jnet CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter