A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2461 | |
| dc.contributor.author | Kraaij, Richard C. | |
| dc.contributor.author | Redig, Frank | |
| dc.contributor.author | Zuijlen, Willem B. van | |
| dc.date.accessioned | 2018-03-30T04:31:52Z | |
| dc.date.available | 2019-06-28T08:03:20Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We study the loss, recovery, and preservation of differentiability of timedependent large deviation rate functions. This study is motivated by mean-field Gibbs-non-Gibbs transitions. The gradient of the rate-function evolves according to a Hamiltonian flow. This Hamiltonian flow is used to analyze the regularity of the time dependent rate function, both for Glauber dynamics for the Curie-Weiss model and Brownian dynamics in a potential. We hereby create a unifying framework for the treatment of mean-field Gibbs-non-Gibbs transitions, based on Hamiltonian dynamics and viscosity solutions of Hamilton-Jacobi equations. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/1799 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2019 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2461 | |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Hamiltonian dynamics | eng |
| dc.subject.other | Hamilton-Jacobi equation | eng |
| dc.subject.other | Mean-field models | eng |
| dc.subject.other | large deviation principle | eng |
| dc.subject.other | Gibbs versus non-Gibbs | eng |
| dc.subject.other | dynamical transition | eng |
| dc.subject.other | global minimisers of rate functions | eng |
| dc.title | A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions | eng |
| dc.type | Report | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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