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Generalized exclusion processes: Transport coefficients.

Chikashi Arita1, P L Krapivsky2, Kirone Mallick3

  • 1Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2014
PubMed
Summary
This summary is machine-generated.

We investigated generalized exclusion processes with maximal occupancy k. The diffusion coefficient is constant for k=1 and k=∞, but depends on density and k for intermediate values.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Stochastic Processes

Background:

  • Exclusion processes model interacting particles.
  • Nearest-neighbor hopping is a common dynamic.
  • Maximal occupancy (k) generalizes particle interactions.

Purpose of the Study:

  • Investigate generalized exclusion processes with maximal occupancy k.
  • Compute the diffusion coefficient in all spatial dimensions.
  • Analyze the behavior of a tagged particle.

Main Methods:

  • Analytical computation of the diffusion coefficient.
  • Study of generalized exclusion processes on hypercubic lattices.
  • Numerical probing of the self-diffusion coefficient.

Main Results:

  • Diffusion coefficient is constant for k=1 (simple exclusion) and k=∞ (random walks).
  • For 2≤k<∞, the diffusion coefficient depends on particle density and k.
  • Tagged particle evolution shows normal diffusive behavior in all dimensions.

Conclusions:

  • Generalized exclusion processes exhibit rich diffusive behavior.
  • Maximal occupancy k significantly influences particle transport.
  • The study provides insights into interacting particle systems.