Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Work distribution in a time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis

Popis výsledku anglicky

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.

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

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Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

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Svazek periodika

46

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

11

Strana od-do

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Kód UT WoS článku

000314707300002

EID výsledku v databázi Scopus

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