Asymptotics of work distribution for a Brownian particle in a time-dependent anharmonic potential
Result 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.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
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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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
7AMB14DE003: Interactions effects and collective behavior in driven diffusion systems
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
S - Specificky vyzkum na vysokych skolach
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
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
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BE - Theoretical physics
Year of implementation
2015