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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

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

<a href="/cs/project/7AMB14DE003" target="_blank" >7AMB14DE003: Kolekticní jevy při externě řízené difuzi v systémech interagujících částic</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Physica Scripta

ISSN

0031-8949

e-ISSN

—

Svazek periodika

T165

Číslo periodika v rámci svazku

Neuveden

Stát vydavatele periodika

SE - Švédské království

Počet stran výsledku

5

Strana od-do

—

Kód UT WoS článku

000367396900026

EID výsledku v databázi Scopus

2-s2.0-84960401552