title: Long-range correlations and ensemble inequivalence in a generalized ABC model.
abstract: A generalization of the ABC model, a one-dimensional model of a driven system of three particle species with local dynamics, is introduced, in which the model evolves under either (i) density-conserving or (ii) nonconserving dynamics. For equal average densities of the three species, both dynamical models are demonstrated to exhibit detailed balance with respect to a Hamiltonian with long-range interactions. The model is found to exhibit two distinct phase diagrams, corresponding to the canonical (density-conserving) and grand canonical (density nonconserving) ensembles, as expected in long-range interacting systems. The implications of this result to nonequilibrium steady states, such as those of the ABC model with unequal average densities, are briefly discussed.
authors.affiliation: Department of Physics of Complex Systems, Weizmann Institute of Science, 76100 Rehovot, Israel.
authors.forename: A
authors.initials: A
authors.lastname: Lederhendler
authors.forename: D
authors.initials: D
authors.lastname: Mukamel