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Single-file diffusion in an interval: first passage properties.

Artem Ryabov1

  • 1Charles University in Prague, Faculty of Mathematics and Physics, Department of Macromolecular Physics, V Holešovičkách 2, 180 00 Praha, Czech Republic. rjabov.a@gmail.com

The Journal of Chemical Physics
|April 26, 2013
PubMed
Summary
This summary is machine-generated.

We studied tagged particle survival in single-file diffusion within finite intervals. Different boundary and initial conditions significantly alter the survival probability

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Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Physical Chemistry

Background:

  • Single-file diffusion is a fundamental transport process in various systems.
  • Understanding particle behavior in confined spaces is crucial for nanoscale phenomena.
  • The survival probability of a tagged particle provides insights into system dynamics.

Purpose of the Study:

  • To analyze the long-time behavior of tagged particle survival probability.
  • To investigate the impact of different boundary conditions (absorbing/reflecting) and initial conditions (fixed/random particle number).
  • To explore diffusion in a finite interval with randomly distributed traps.

Main Methods:

  • Mathematical modeling of single-file diffusion.
  • Analysis of asymptotic behavior of survival probability.
  • Stochastic processes and probability theory.

Main Results:

  • Distinct asymptotic behaviors of survival probability were observed for all four combinations of boundary and initial conditions.
  • In systems with two absorbing boundaries, random interval length (traps) was considered.
  • Initial particle concentration was found to influence survival probability decay similarly to trap concentration.

Conclusions:

  • Boundary and initial conditions critically determine the long-time survival probability in finite single-file diffusion systems.
  • The presence of traps or random interval lengths introduces complexities comparable to initial particle concentration effects.
  • This study provides a comprehensive understanding of tagged particle dynamics under various constraints.