Novel phases and finite-size scaling in two-species asymmetric diffusive processes
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 nonuniform phases characteized 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.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 1994
- DOI:
- 10.1103/PhysRevLett.73.2386
- arXiv:
- arXiv:cond-mat/9409013
- Bibcode:
- 1994PhRvL..73.2386L
- Keywords:
-
- 05.70.Fh;
- 02.50.Ey;
- 02.60.Cb;
- 64.60.Cn;
- Phase transitions: general studies;
- Stochastic processes;
- Numerical simulation;
- solution of equations;
- Order-disorder transformations;
- statistical mechanics of model systems;
- Condensed Matter;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems
- E-Print:
- 7 pages, plus 6 figures uuencoded, compressed and appended after source code, LATeX, to be published as a Phys. Rev. Lett