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29 March 2024
 
  » arxiv » cond-mat/9409013

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Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes
Kwan-tai Leung ;
Date 6 Sep 1994
Journal Phys. Rev. Lett. 73, 2386 (1994)
Subject Condensed Matter; Adaptation and Self-Organizing Systems | cond-mat adap-org nlin.AO
AbstractWe study a stochastic lattice gas of particles undergoing asymmetric diffusion in two dimensions. Transitions between a low-density uniform phase and high-density non-uniform phases characterized by localized or extended structure are found. We develop a mean-field theory which relates coarse-grained parameters to microscopic ones. Detailed predictions for finite-size ($L$) scaling and density profiles agree excellently with simulations. Unusual large-$L$ behavior of the transition point parallel to that of self-organized sandpile models is found.
Source arXiv, cond-mat/9409013
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