Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes
Condensed Matter
2009-10-22 v1 adap-org
Adaptation and Self-Organizing Systems
Abstract
We 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 () scaling and density profiles agree excellently with simulations. Unusual large- behavior of the transition point parallel to that of self-organized sandpile models is found.
Keywords
Cite
@article{arxiv.cond-mat/9409013,
title = {Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes},
author = {Kwan-tai Leung},
journal= {arXiv preprint arXiv:cond-mat/9409013},
year = {2009}
}
Comments
7 pages, plus 6 figures uuencoded, compressed and appended after source code, LATeX, to be published as a Phys. Rev. Lett