Asymptotics of work distribution for a Brownian particle in a time-dependent anharmonic potential

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318373" target="_blank" >RIV/00216208:11320/15:10318373 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1088/0031-8949/2015/T165/014024" target="_blank" >http://dx.doi.org/10.1088/0031-8949/2015/T165/014024</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0031-8949/2015/T165/014024" target="_blank" >10.1088/0031-8949/2015/T165/014024</a>

Result language

angličtina

Original language name

Asymptotics of work distribution for a Brownian particle in a time-dependent anharmonic potential

Original language description

The work distribution of a driven Brownian particle in an anharmonic potential is studied. The potential consists of two components: a harmonic part with a time-dependent stiffness and a time-independent logarithmic part. For arbitrary driving of the stiffness, the problem of solving the evolution equation for the joint probability density of work and particle position reduces to the solution of a Riccati differential equation. For a particular driving protocol, the Riccati equation can be solved and the exact large-work representation of the work distribution can be calculated. We propose a general form of the tail behavior. The asymptotic analysis of the work distribution is of vital importance for obtaining equilibrium free energy differences in experiments based on the Jarzynski identity. In the absence of the logarithmic component, our results agree with the work distribution for driven Brownian motion in a harmonic potential.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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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)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2015

Confidentiality

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

Name of the periodical

Physica Scripta

ISSN

0031-8949

e-ISSN

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Volume of the periodical

T165

Issue of the periodical within the volume

Neuveden

Country of publishing house

SE - SWEDEN

Number of pages

5

Pages from-to

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UT code for WoS article

000367396900026

EID of the result in the Scopus database

2-s2.0-84960401552