Exact microcanonical statistical analysis of transition behavior in Ising chains and strips. (7th July 2020)

• Record Type: Journal Article
• Authors: Sitarachu, K; Zia, R K P; Bachmann, M
• Is Part Of: Journal of statistical mechanics. (2020:Jul.)
• Publication Date: 2020-07-07
• Subjects: classical phase transitions -- exact results -- integrable spin chains and vertex models -- mesoscopic systems; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ab97bc
• Languages: English
• ISSNs: 1742-5468

Abstract

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.