Fractional Diffusion, Irreversibility and Entropy
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X. Li
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.
Copyright © 2003 by Walter de Gruyter GmbH & Co. KG
Articles in the same Issue
- Obituary
- Quantitative Estimation of Relationship between the State with Minimal Entropy Production and the Actual Stationary Regime of Flame Propagation
- Extended Irreversible Thermodynamics and Generalization of the Dual-Phase-Lag Model in Heat Transfer
- Quantum Degeneracy Effect on the Performance of a Bose Ericsson Refrigeration Cycle
- Optimal Process Paths for Endoreversible Systems
- The Effect of Solute Leakage on the Thermodynamical Performance of an Osmotic Membrane
- Fractional Diffusion, Irreversibility and Entropy
- Y. Demirel: Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical and Biological Systems.
Articles in the same Issue
- Obituary
- Quantitative Estimation of Relationship between the State with Minimal Entropy Production and the Actual Stationary Regime of Flame Propagation
- Extended Irreversible Thermodynamics and Generalization of the Dual-Phase-Lag Model in Heat Transfer
- Quantum Degeneracy Effect on the Performance of a Bose Ericsson Refrigeration Cycle
- Optimal Process Paths for Endoreversible Systems
- The Effect of Solute Leakage on the Thermodynamical Performance of an Osmotic Membrane
- Fractional Diffusion, Irreversibility and Entropy
- Y. Demirel: Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical and Biological Systems.
