On asymptotic behavior of work distributions for driven Brownian motion

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

On asymptotic behavior of work distributions for driven Brownian motion

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

On asymptotic behavior of work distributions for driven Brownian motion

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/7AMB14DE003" target="_blank" >7AMB14DE003: Kolekticní jevy při externě řízené difuzi v systémech interagujících částic</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

European Physical Journal B

ISSN

1434-6028

e-ISSN

—

Svazek periodika

88

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

9

Strana od-do

—

Kód UT WoS článku

000366844800001

EID výsledku v databázi Scopus

2-s2.0-84950319582