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http://dx.doi.org/10.18419/opus-13206
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DC Element | Wert | Sprache |
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dc.contributor.author | Niggemann, Oliver | - |
dc.contributor.author | Seifert, Udo | - |
dc.date.accessioned | 2023-06-26T09:39:21Z | - |
dc.date.available | 2023-06-26T09:39:21Z | - |
dc.date.issued | 2020 | de |
dc.identifier.issn | 0022-4715 | - |
dc.identifier.issn | 1572-9613 | - |
dc.identifier.other | 1852277564 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-132255 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/13225 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-13206 | - |
dc.description.abstract | We propose a field-theoretic thermodynamic uncertainty relation as an extension of the one derived so far for a Markovian dynamics on a discrete set of states and for overdamped Langevin equations. We first formulate a framework which describes quantities like current, entropy production and diffusivity in the case of a generic field theory. We will then apply this general setting to the one-dimensional Kardar-Parisi-Zhang equation, a paradigmatic example of a non-linear field-theoretic Langevin equation. In particular, we will treat the dimensionless Kardar-Parisi-Zhang equation with an effective coupling parameter measuring the strength of the non-linearity. It will be shown that a field-theoretic thermodynamic uncertainty relation holds up to second order in a perturbation expansion with respect to a small effective coupling constant. The calculations show that the field-theoretic variant of the thermodynamic uncertainty relation is not saturated for the case of the Kardar-Parisi-Zhang equation due to an excess term stemming from its non-linearity. | en |
dc.description.sponsorship | Projekt DEAL | de |
dc.language.iso | en | de |
dc.relation.uri | doi:10.1007/s10955-019-02479-x | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | de |
dc.subject.ddc | 530 | de |
dc.title | Field-theoretic thermodynamic uncertainty relation : general formulation exemplified with the Kardar-Parisi-Zhang equation | en |
dc.type | article | de |
dc.date.updated | 2023-05-15T12:10:22Z | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Theoretische Physik II | de |
ubs.publikation.seiten | 1142-1174 | de |
ubs.publikation.source | Journal of statistical physics 178 (2020), S. 1142-1174 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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s10955-019-02479-x.pdf | 583,6 kB | Adobe PDF | Öffnen/Anzeigen |
Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons