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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Biophysical Reviews and Letters

  • ISSN

    1793-0480

  • e-ISSN

  • Volume of the periodical

    10

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    SG - SINGAPORE

  • Number of pages

    12

  • Pages from-to

    85-96

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-84938740325