On asymptotic behavior of work distributions for driven Brownian motion
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318369" target="_blank" >RIV/00216208:11320/15:10318369 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1140/epjb/e2015-60635-x" target="_blank" >http://dx.doi.org/10.1140/epjb/e2015-60635-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjb/e2015-60635-x" target="_blank" >10.1140/epjb/e2015-60635-x</a>
Alternative languages
Result language
angličtina
Original language name
On asymptotic behavior of work distributions for driven Brownian motion
Original language description
We propose a simple conjecture for the functional form of the asymptotic behavior of work distributions for driven overdamped Brownian motion of a particle in confining potentials. This conjecture is motivated by the fact that these functional forms areindependent of the velocity of the driving for all potentials and protocols, where explicit analytical solutions for the work distributions have been derived in the literature. To test the conjecture, we use Brownian dynamics simulations and a recent theory developed by Engel and Nickelsen (EN theory), which is based on the contraction principle of large deviation theory. Our tests suggest that the conjecture is valid for potentials with a confinement equal to or weaker than the parabolic one, both forequilibrium and for nonequilibrium distributions of the initial particle position. For potentials with stronger confinement, the conjecture fails and gives a good approximate description only for fast driving. In addition we obtain a new
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/7AMB14DE003" target="_blank" >7AMB14DE003: Interactions effects and collective behavior in driven diffusion systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Physical Journal B
ISSN
1434-6028
e-ISSN
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Volume of the periodical
88
Issue of the periodical within the volume
12
Country of publishing house
DE - GERMANY
Number of pages
9
Pages from-to
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UT code for WoS article
000366844800001
EID of the result in the Scopus database
2-s2.0-84950319582