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

Autor: Sitarachu, Kedkanok, Zia, Royce K. P., Bachmann, Michael
Rok vydání: 2023
Předmět:
Zdroj: J. Stat. Mech. (JSTAT) 073204 (2020)
Druh dokumentu: Working Paper
DOI: 10.1088/1742-5468/ab97bc
Popis: 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.
Comment: 19 pages, 9 figures
Databáze: arXiv