Critical temperature of one-dimensional Ising model with long-range interaction revisited

DOI10.1016/J.PHYSA.2022.127136OpenAlexW3201771792MaRDI QIDQ2128706

O. A. Rodríguez-López, J. G. Martínez-Herrera, M. A. Solís

Publication date: 22 April 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14762

zbMATH Keywords

transfer matrixcritical temperaturelong-range interactionsIsing modelinfinite vs finite chainsmaximum of specific heat

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

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• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Order-\(n\) cluster Monte Carlo method for spin systems with long-range interactions
• Critical exponents for long-range interactions
• Upper bounds on \(T_ c\) for one-dimensional Ising systems.
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• The finite-size scaling study of the specific heat and the Binder parameter for the six-dimensional Ising model
• Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors

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