Single-file diffusion in an interval: First passage properties

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189647" target="_blank" >RIV/00216208:11320/13:10189647 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4801326" target="_blank" >http://dx.doi.org/10.1063/1.4801326</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4801326" target="_blank" >10.1063/1.4801326</a>

Result language
angličtina
Original language name
Single-file diffusion in an interval: First passage properties
Original language description
We investigate the long-time behavior of the survival probability of a tagged particle in a single-file diffusion in a finite interval. The boundary conditions are of two types: (1) one boundary is absorbing the second is reflecting and (2) both boundaries are absorbing. For each type of the boundary conditions we consider two types of initial conditions: (a) initial number of particles N is given and (b) initial concentration of particles is given (N is random). In all four cases the tagged-particle survival probability exhibits different asymptotic behavior. When the both boundaries are absorbing we also consider a case of a random interval length (single-file diffusion on a line with randomly distributed traps). In the latter setting, the initial concentration of particles has the same effect on the asymptotic decay of the survival probability as the concentration of traps.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

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

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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