Exact microcanonical statistical analysis of transition behavior in Ising chains and strips

Abstract

Recent analyses of least-sensitive inflection points in derivatives of the microcanonical entropy for the two-dimensional Ising model revealed higher-order transition signals in addition to the well-studied second-order ferromagnetic/paramagnetic phase transition. In this paper, we re-analyze the exact density of states for the one-dimensional Ising chain as well as the strips with widths/lengths of up to 64/1024 spins, in search of potential transition features. While some transitions begin to emerge as the strip width increases, none are found for the chain, as might be expected.

arXiv comment19 pages, 9 figures

References in corpus (3)

• An Introduction to Spontaneous Symmetry Breaking
• Microcanonical entropy inflection points: Key to systematic understanding of transitions in finite systems
• Classification of Phase Transitions by Microcanonical Inflection-Point Analysis

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