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Artem Ryabov1, Petr Chvosta1

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This study explores single-file diffusion with an absorbing boundary, revealing how particle interactions and absorption create unique dynamics. Particle order significantly influences diffusion exponents and behavior, especially under non-absorption conditions.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Physical Chemistry

Background:

  • Single-file diffusion models particle movement in confined spaces.
  • Absorbing boundaries introduce complex dynamics by removing particles.
  • Hard-core interactions significantly alter particle behavior.

Purpose of the Study:

  • Investigate the interplay between hard-core interactions and absorbing boundaries in single-file diffusion.
  • Analyze the long-time asymptotic behavior of particle moments.
  • Examine the distribution of long-living particles under non-absorption conditions.

Main Methods:

  • Exact probability density function for tracer particles.
  • Analysis of long-time asymptotics of particle moments.
  • Thermodynamic limit for system behavior.

Main Results:

  • Dynamical exponents depend on the initial particle order.
  • Conditioned dynamics show order-dependent effective diffusion coefficients.
  • Tracer dynamics become subdiffusive with a distinct generalized diffusion coefficient.

Conclusions:

  • The absorbing boundary fundamentally alters single-file diffusion dynamics.
  • Particle initial order is a critical factor in diffusion behavior.
  • The conditioned tracer dynamics exhibit subdiffusion, differing from systems without boundaries.