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Emergence of bimodality in noisy systems with single-well potential
Journal
The European Physical Journal. B, Condensed Matter and Complex Systems
Author
Dybiec Bartłomiej
Schimansky-Geier L.
Volume
57
Issue
3
Pages
313-320
ISSN
1434-6028
eISSN
1434-6036
Language
English
Container language
English
Abstract in English
We study the stationary probability density of a Brownian particle in a potential with a single-well subject to the purely additive thermal and dichotomous noise sources. We find situations where bimodality of stationary densities emerges due to presence of dichotomous noise. The solutions are constructed using stochastic dynamics (Langevin equation) or by discretization of the corresponding Fokker-Planck equations. We find that in models with both noises being additive the potential has to grow faster than |x| in order to obtain bimodality. For potentials ∝|x| stationary solutions are always of the double exponential form.
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.abstract.en | We study the stationary probability density of a Brownian particle in a potential with a single-well subject to the purely additive thermal and dichotomous noise sources. We find situations where bimodality of stationary densities emerges due to presence of dichotomous noise. The solutions are constructed using stochastic dynamics (Langevin equation) or by discretization of the corresponding Fokker-Planck equations. We find that in models with both noises being additive the potential has to grow faster than |x| in order to obtain bimodality. For potentials ∝|x| stationary solutions are always of the double exponential form. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Dybiec, Bartłomiej - 102110 | pl |
dc.contributor.author | Schimansky-Geier, L. | pl |
dc.date.accessioned | 2018-04-11T11:22:42Z | |
dc.date.available | 2018-04-11T11:22:42Z | |
dc.date.issued | 2007 | pl |
dc.description.number | 3 | pl |
dc.description.physical | 313-320 | pl |
dc.description.volume | 57 | pl |
dc.identifier.doi | 10.1140/epjb/e2007-00162-y | pl |
dc.identifier.eissn | 1434-6036 | pl |
dc.identifier.issn | 1434-6028 | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/53213 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Dodaję tylko opis bibliograficzny | * |
dc.rights.licence | bez licencji | |
dc.rights.uri | * | |
dc.subtype | Article | pl |
dc.title | Emergence of bimodality in noisy systems with single-well potential | pl |
dc.title.journal | The European Physical Journal. B, Condensed Matter and Complex Systems | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Affiliations
No affiliation
Dybiec, Bartłomiej
Schimansky-Geier, L.