Nonequivalent ensembles and metastability
Hugo Touchette, Richard S. Ellis

TL;DR
This paper reviews the fundamental links between nonequivalent ensembles, phase transitions, and metastability, highlighting how different statistical ensembles can exhibit distinct thermodynamic behaviors.
Contribution
It provides a comprehensive review of the connections between ensemble nonequivalence, phase transitions, and metastability in thermodynamics.
Findings
Nonequivalent ensembles can lead to different thermodynamic predictions.
First-order phase transitions are linked to ensemble nonequivalence.
Metastable states are related to ensemble differences and phase transition phenomena.
Abstract
This paper reviews a number of fundamental connections that exist between nonequivalent microcanonical and canonical ensembles, the appearance of first-order phase transitions in the canonical ensemble, and thermodynamic metastable behavior.
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