Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 46, Issue 7, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/46/7/075002
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Funding
- Ministry of Education of the Czech Republic [MSM 0021620835]
- grant agency of the Charles University [143610, 301311]
- Charles University in Prague [SVV-2012-265 301]
- Deutsche Akademische Austauschdienst (DAAD) [MEB101104]
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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.
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