Brownian motion in time-dependent logarithmic potential: Exact results for dynamics and first-passage properties

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318376" target="_blank" >RIV/00216208:11320/15:10318376 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.4931474" target="_blank" >http://dx.doi.org/10.1063/1.4931474</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4931474" target="_blank" >10.1063/1.4931474</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Brownian motion in time-dependent logarithmic potential: Exact results for dynamics and first-passage properties

Popis výsledku v původním jazyce

The paper addresses Brownian motion in the logarithmic potential with time-dependent strength, U(x, t) = g(t) log(x), subject to the absorbing boundary at the origin of coordinates. Such model can represent kinetics of diffusion-controlled reactions of charged molecules or escape of Brownian particles over a time-dependent entropic barrier at the end of a biological pore. We present a simple asymptotic theory which yields the long-time behavior of both the survival probability (first-passage properties)and the moments of the particle position (dynamics). The asymptotic survival probability, i.e., the probability that the particle will not hit the origin before a given time, is a functional of the potential strength. As such, it exhibits a rather varied behavior for different functions g(t). The latter can be grouped into three classes according to the regime of the asymptotic decay of the survival probability. We distinguish 1. the regular (power-law decay), 2. the marginal (power law

Název v anglickém jazyce

Brownian motion in time-dependent logarithmic potential: Exact results for dynamics and first-passage properties

Popis výsledku anglicky

The paper addresses Brownian motion in the logarithmic potential with time-dependent strength, U(x, t) = g(t) log(x), subject to the absorbing boundary at the origin of coordinates. Such model can represent kinetics of diffusion-controlled reactions of charged molecules or escape of Brownian particles over a time-dependent entropic barrier at the end of a biological pore. We present a simple asymptotic theory which yields the long-time behavior of both the survival probability (first-passage properties)and the moments of the particle position (dynamics). The asymptotic survival probability, i.e., the probability that the particle will not hit the origin before a given time, is a functional of the potential strength. As such, it exhibits a rather varied behavior for different functions g(t). The latter can be grouped into three classes according to the regime of the asymptotic decay of the survival probability. We distinguish 1. the regular (power-law decay), 2. the marginal (power law

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Journal of Chemical Physics

ISSN

0021-9606

e-ISSN

—

Svazek periodika

143

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

—

Kód UT WoS článku

000361843900022

EID výsledku v databázi Scopus

2-s2.0-84942627400