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  • The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several qualitatively new features. First, starting with the exact probability density function for a given particle (a tracer), we study the long-time asymptotics of its moments. Both the mean position and the mean-square displacement are controlled by dynamical exponents which depend on the initial order of the particle in the file. Second, conditioning on nonabsorption, we study the distribution of long-living particles. In the conditioned framework, the dynamical exponents are the same for all particles, however, a given particle possesses an effective diffusion coefficient which depends on its initial order. After performing the thermodynamic limit, the conditioned dynamics of the tracer is subdiffusive, the generalized diffusion coefficient D-1/2 being different from that reported for the system without absorbing boundary.
  • The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several qualitatively new features. First, starting with the exact probability density function for a given particle (a tracer), we study the long-time asymptotics of its moments. Both the mean position and the mean-square displacement are controlled by dynamical exponents which depend on the initial order of the particle in the file. Second, conditioning on nonabsorption, we study the distribution of long-living particles. In the conditioned framework, the dynamical exponents are the same for all particles, however, a given particle possesses an effective diffusion coefficient which depends on its initial order. After performing the thermodynamic limit, the conditioned dynamics of the tracer is subdiffusive, the generalized diffusion coefficient D-1/2 being different from that reported for the system without absorbing boundary. (en)
Title
  • Tracer dynamics in a single-file system with absorbing boundary
  • Tracer dynamics in a single-file system with absorbing boundary (en)
skos:prefLabel
  • Tracer dynamics in a single-file system with absorbing boundary
  • Tracer dynamics in a single-file system with absorbing boundary (en)
skos:notation
  • RIV/00216208:11320/14:10286281!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 50888
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10286281
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • kinetics; transport; distributions; models; diffusion; one-dimension (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [F04C221796FF]
http://linked.open...i/riv/nazevZdroje
  • Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 89
http://linked.open...iv/tvurceVysledku
  • Chvosta, Petr
  • Ryabov, Artem
http://linked.open...ain/vavai/riv/wos
  • 000332180600002
issn
  • 1539-3755
number of pages
http://bibframe.org/vocab/doi
  • 10.1103/PhysRevE.89.022132
http://localhost/t...ganizacniJednotka
  • 11320
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