Phase Separation in One-Dimensional Driven Diffusive Systems

Details Phase Separation in One-Dimensional Driven Diffusive Systems Phase Separation in One-Dimensional Driven Diffusive Systems

1997-07-31

arxiv.org/abs/cond-mat/9707340v1

Phys. Rev. Lett., 80 (1998) 425

Physics

Condensed Matter

Statistical Mechanics

4 Pages, Revtex, 2 Figures included, Submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.80.425

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the three densities are equal, it is shown that the model obeys detailed balance. The Hamiltonian governing the steady state distribution in this case is given and is found to have long range asymmetric interactions. The partition sum and bounds on some correlation functions are calculated analytically demonstrating phase separation.

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