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Reaction-controlled diffusion

Trimper1, Tauber, Schutz

  • 1Fachbereich Physik, Martin-Luther-Universitat, D-06099 Halle, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
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Anomalous diffusion in nonequilibrium systems arises when species B density decays, weakening A-B interactions. This leads to subdiffusive behavior in particle A hopping, dependent on reaction order and dimensions.

Area of Science:

  • Statistical Physics
  • Chemical Kinetics
  • Condensed Matter Physics

Background:

  • Coupled nonequilibrium systems exhibit complex dynamics.
  • Particle interactions and environmental factors influence diffusion.
  • Master equations describe stochastic processes in physical systems.

Purpose of the Study:

  • To investigate the diffusion dynamics of a two-component system under nonequilibrium conditions.
  • To analyze the impact of species B decay on species A diffusion.
  • To characterize anomalous diffusion phenomena.

Main Methods:

  • Continuum field theory applied to a master equation.
  • Analysis of particle hopping and diffusion-limited reactions.
  • Examination of mean-square displacement under varying conditions.

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Main Results:

  • Normal diffusion of species A observed when species B density is constant (active state).
  • Anomalous subdiffusion ((A)(t)(2)> ~ t^(1-alpha)) occurs when species B density decays algebraically (inactive state).
  • Subdiffusion depends on reaction order (n) and spatial dimensions (d); logarithmic diffusion or localization observed for specific cases.

Conclusions:

  • The interplay between species B decay and species A hopping dictates diffusion behavior.
  • Anomalous diffusion is a hallmark of specific reaction orders and dimensions in this system.
  • System behavior transitions to normal diffusion if A particles hop spontaneously or random forces are present.