Long-range correlations and ensemble inequivalence in a generalized ABC model |
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Authors: | Lederhendler A Mukamel D |
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Affiliation: | Department of Physics of Complex Systems, Weizmann Institute of Science, 76100 Rehovot, Israel. |
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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. |
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