Classification of Phase Transitions and Ensemble Inequivalence, in Systems with Long Range Interactions |
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Authors: | F Bouchet J Barré |
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Institution: | (1) Dipartimento di Energetica, Sergio Stecco, Via S. Marta 3., Firenze, 50137, Italia;(2) Laboratoire de physique, École Normale Supérieure de Lyon, Lyon Cedex 07, 69364, France;(3) Theoretical Division, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA |
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Abstract: | Systems with long range interactions in general are not additive, which can lead to an inequivalence of the microcanonical and canonical ensembles. The microcanonical ensemble may show richer behavior than the canonical one, including negative specific heats and other non-common behaviors. We propose a classification of microcanonical phase transitions, of their link to canonical ones, and of the possible situations of ensemble inequivalence. We discuss previously observed phase transitions and inequivalence in self-gravitating, two-dimensional fluid dynamics and non-neutral plasmas. We note a number of generic situations that have not yet been observed in such systems. |
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Keywords: | Long range interaction phase transition bifurcation ensemble equivalence |
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