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

Kwan-tai Leung
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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 ($L$) 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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BibTeXRIS

Kwan-tai Leung. 1994-09-06. Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes. https://doi.org/10.1103/physrevlett.73.2386

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