Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes

Details Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes

1994-09-06

arxiv.org/abs/cond-mat/9409013v1

Phys. Rev. Lett. 73, 2386 (1994)

Physics

Condensed Matter

7 pages, plus 6 figures uuencoded, compressed and appended after source code, LATeX, to be published as a Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.73.2386

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 ($L$) 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.

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