Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189645" target="_blank" >RIV/00216208:11320/13:10189645 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8113/46/7/075002" target="_blank" >http://dx.doi.org/10.1088/1751-8113/46/7/075002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/46/7/075002" target="_blank" >10.1088/1751-8113/46/7/075002</a>
Alternative languages
Result language
angličtina
Original language name
Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis
Original language description
We investigate the distribution of work performed on a Brownian particle in a time-dependent asymmetric potential well. The potential has a harmonic component with a time-dependent force constant and a time-independent logarithmic barrier at the origin.For an arbitrary driving protocol, the problem of solving the Fokker-Planck equation for the joint probability density of work and particle position is reduced to the solution of the Riccati differential equation. For a particular choice of the driving protocol, an exact solution of the Riccati equation is presented. An asymptotic analysis of the resulting expression yields the tail behavior of the work distribution for small and large work values. In the limit of a vanishing logarithmic barrier, the work distribution for the breathing parabola model is obtained.
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
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A: Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
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Volume of the periodical
46
Issue of the periodical within the volume
7
Country of publishing house
GB - UNITED KINGDOM
Number of pages
11
Pages from-to
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UT code for WoS article
000314707300002
EID of the result in the Scopus database
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