Classification of Phase Transitions by Microcanonical Inflection-Point Analysis

Abstract

By means of the principle of minimal sensitivity we generalize the microcanonical inflection-point analysis method by probing derivatives of the microcanonical entropy for signals of transitions in complex systems. A strategy of systematically identifying and locating independent and dependent phase transitions of any order is proposed. The power of the generalized method is demonstrated in applications to the ferromagnetic Ising model and a coarse-grained model for polymer adsorption onto a substrate. The results shed new light on the intrinsic phase structure of systems with cooperative behavior.

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• Stable intermediate phase of secondary structures for semiflexible polymers
• Entropy Inflection and Invisible Low-Energy States: Defensive Alliance Example
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• A Microcanonical Inflection Point Analysis via Parametric Curves and its Relation to the Zeros of the Partition Function
• Dissecting a Small Artificial Neural Network
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• On the origin of Phase Transitions in the absence of Symmetry-Breaking