Single-File System with Absorbing Boundary: Tracer Dynamics and First-Passage Properties

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318606" target="_blank" >RIV/00216208:11320/15:10318606 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.worldscientific.com/doi/10.1142/S179304801550006X" target="_blank" >http://www.worldscientific.com/doi/10.1142/S179304801550006X</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S179304801550006X" target="_blank" >10.1142/S179304801550006X</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Single-File System with Absorbing Boundary: Tracer Dynamics and First-Passage Properties

Popis výsledku v původním jazyce

In this paper, we review the tagged particle dynamics in a semi-infinite system with an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The exact probability density functionfor the position of a tagged particle is derived by means of probabilistic arguments. First, the initially homogeneous system with constant density of particles is studied. In this setting, the dynamics of the tracer conditioned on nonabsorption becomessubdiffusive, the generalized diffusion coefficient being different from that reported for the system without absorbing boundary. Second, the case when the initial number of particles is finite is discussed. In this case, in the long time limit the tracer diffusion is normal and the hard-core interaction manifests itself through the renormalization of the tracer diffusion coefficient. The Gaussian distribution derived for infinite single-file systems is, in the present semi-infinite set

Název v anglickém jazyce

Single-File System with Absorbing Boundary: Tracer Dynamics and First-Passage Properties

Popis výsledku anglicky

In this paper, we review the tagged particle dynamics in a semi-infinite system with an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The exact probability density functionfor the position of a tagged particle is derived by means of probabilistic arguments. First, the initially homogeneous system with constant density of particles is studied. In this setting, the dynamics of the tracer conditioned on nonabsorption becomessubdiffusive, the generalized diffusion coefficient being different from that reported for the system without absorbing boundary. Second, the case when the initial number of particles is finite is discussed. In this case, in the long time limit the tracer diffusion is normal and the hard-core interaction manifests itself through the renormalization of the tracer diffusion coefficient. The Gaussian distribution derived for infinite single-file systems is, in the present semi-infinite set

Druh

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

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

—

Návaznosti

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

Biophysical Reviews and Letters

ISSN

1793-0480

e-ISSN

—

Svazek periodika

10

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

12

Strana od-do

85-96

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-84938740325