Name
Title | ||
|---|---|---|
Between Waves and Diffusion: Paradoxical Entropy Production in an Exceptional Regime. |
Abstract | ||
|---|---|---|
The entropy production rate is a well established measure for the extent of irreversibility in a process. For irreversible processes, one thus usually expects that the entropy production rate approaches zero in the reversible limit. Fractional diffusion equations provide a fascinating testbed for that intuition in that they build a bridge connecting the fully irreversible diffusion equation with the fully reversible wave equation by a one-parameter family of processes. The entropy production paradox describes the very non-intuitive increase of the entropy production rate as that bridge is passed from irreversible diffusion to reversible waves. This paradox has been established for time- and space-fractional diffusion equations on one-dimensional continuous space and for the Shannon, Tsallis and Renyi entropies. After a brief review of the known results, we generalize it to time-fractional diffusion on a finite chain of points described by a fractional master equation. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.3390/e20110881 | ENTROPY |
Keywords | Field | DocType |
entropy production paradox,entropy,fractional diffusion | Statistical physics,Mathematical optimization,Entropy production,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 11 | 1099-4300 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Karl Heinz Hoffmann | 1 | 41 | 11.54 |
| Kathrin Kulmus | 2 | 0 | 0.34 |
| Christopher Essex | 3 | 36 | 8.98 |
| Janett Prehl | 4 | 28 | 4.43 |