Bitte benutzen Sie diese Kennung, um auf die Ressource zu verweisen:
http://dx.doi.org/10.18419/opus-12924
Autor(en): | Niggemann, Oliver Seifert, Udo |
Titel: | The two scaling regimes of the thermodynamic uncertainty relation for the KPZ-equation |
Erscheinungsdatum: | 2021 |
Dokumentart: | Zeitschriftenartikel |
Seiten: | 29 |
Erschienen in: | Journal of statistical physics 186 (2022), No. 3 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-129433 http://elib.uni-stuttgart.de/handle/11682/12943 http://dx.doi.org/10.18419/opus-12924 |
ISSN: | 0022-4715 1572-9613 |
Zusammenfassung: | We investigate the thermodynamic uncertainty relation for the (1+1) dimensional Kardar-Parisi-Zhang (KPZ) equation on a finite spatial interval. In particular, we extend the results for small coupling strengths obtained previously to large values of the coupling parameter. It will be shown that, due to the scaling behavior of the KPZ equation, the thermodynamic uncertainty relation (TUR) product displays two distinct regimes which are separated by a critical value of an effective coupling parameter. The asymptotic behavior below and above the critical threshold is explored analytically. For small coupling, we determine this product perturbatively including the fourth order; for strong coupling we employ a dynamical renormalization group approach. Whereas the TUR product approaches a value of 5 in the weak coupling limit, it asymptotically displays a linear increase with the coupling parameter for strong couplings. The analytical results are then compared to direct numerical simulations of the KPZ equation showing convincing agreement. |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
---|---|---|---|---|
s10955-021-02845-8.pdf | 1,56 MB | Adobe PDF | Öffnen/Anzeigen |
Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons