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http://hdl.handle.net/1942/28556| Title: | Large-deviation theory for a Brownian particle on a ring: a WKB approach | Authors: | PROESMANS, Karel Derrida, Bernard |
Issue Date: | 2019 | Publisher: | IOP PUBLISHING LTD | Source: | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, (Art N° 023201) | Abstract: | We study the large deviation function of the displacement of a Brownian particle confined on a ring. In the zero noise limit this large deviation function has a cusp at zero velocity given by the Freidlin-Wentzell theory. We develop a WKB approach to analyse how this cusp is rounded in the weak noise limit. | Notes: | [Proesmans, Karel] Hasselt Univ, B-3590 Diepenbeek, Belgium. [Proesmans, Karel; Derrida, Bernard] Coll France, PSL, 11 Pl Marcelin Berthelot, F-75231 Paris 05, France. | Keywords: | diffusion, stochastic particle dynamics;diffusion; stochastic particle dynamics | Document URI: | http://hdl.handle.net/1942/28556 | ISSN: | 1742-5468 | e-ISSN: | 1742-5468 | DOI: | 10.1088/1742-5468/aafa7e | ISI #: | 000457538000001 | Rights: | 2019 IOP Publishing Ltd and SISSA Medialab srl | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2020 |
| Appears in Collections: | Research publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Proesmans_2019_J._Stat._Mech._2019_023201.pdf Restricted Access | Published version | 1.19 MB | Adobe PDF | View/Open Request a copy |
| LDF_periodic (71).pdf | Peer-reviewed author version | 287.21 kB | Adobe PDF | View/Open |
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