- AutorIn
- Karl Heinz Hoffmann Technische Universität Chemnitz
- Kathrin KulmusTechnische Universität Chemnitz
- Christopher EssexUniversity of Western Ontario
- Janett Prehl
- Titel
- Between Waves and Diffusion: Paradoxical Entropy Production in an Exceptional Regime
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-qucosa2-331579
- Quellenangabe
- Entropy Verlag: MDPI AG
Erscheinungsjahr: 2018
Jahrgang: 20
Heft: 11
E-ISSN: 1099-4300
DOI: 10.3390/e20110881
Artikelnummer: 881 - Erstveröffentlichung
- 2018
- Abstract (EN)
- 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.
- Andere Ausgabe
- DOI: 10.3390/e20110881
- Freie Schlagwörter (DE)
- Technische Universität Chemnitz, Publikationsfonds
- Freie Schlagwörter (EN)
- entropy, entropy production paradox, time-fraction diffusion equation, time-fractional master equation, space-fractional diffusion equation, Chemnitz University of Technology, Publication funds
- Klassifikation (DDC)
- 530
- 510
- Normschlagwörter (GND)
- Diffusion, Entropie
- Verlag
- MDPI AG, Schweiz
- Version / Begutachtungsstatus
- publizierte Version / Verlagsversion
- URN Qucosa
- urn:nbn:de:bsz:ch1-qucosa2-331579
- Veröffentlichungsdatum Qucosa
- 13.02.2019
- Dokumenttyp
- Artikel
- Sprache des Dokumentes
- Englisch