# The grand canonical ABC model: a reflection asymmetric mean-field Potts model

@article{Barton2011TheGC, title={The grand canonical ABC model: a reflection asymmetric mean-field Potts model}, author={J. C. Barton and Joel L Lebowitz and E. R. Speer}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2011}, volume={44}, pages={065005} }

We investigate the phase diagram of a three-component system of particles on a one-dimensional filled lattice, or equivalently of a one-dimensional three-state Potts model, with reflection asymmetric mean-field interactions. The three types of particles are designated as A, B and C. The system is described by a grand canonical ensemble with temperature T and chemical potentials TλA, TλB and TλC. We find that for λA = λB = λC the system undergoes a phase transition from a uniform density to a…

## 9 Citations

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In the limit of slow nonconserving processes, the large deviation function of the overall particle density can be computed by making use of the steady-state density profile of the conserving model.

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The three species ABC model of driven particles on a ring is generalized to include vacancies and particle-nonconserving processes. The model exhibits phase separation at high densities. For equal…

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