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• W2024300919 abstract "We develop a generalization of the two-dimensional (2D) Ising model in which a 'spin variable' lies in the 2D plane and can have four internal degrees of freedom (four possible pointing directions: up, down, right and left). By considering various forms of near-neighbour interactions, we are able to solve the model with a generalization of the Bragg–William approximation. Within this mean-field theory we examined the behaviour of heat capacity and an 'order parameter' which captures the short-range correlations between the spins. Below a transition temperature these short-range correlations are enhanced and lead to a long-range order. This is examined (for the first time) through the breakdown of statistical independence." @default.
• W2024300919 created "2016-06-24" @default.
• W2024300919 creator A5069367146 @default.
• W2024300919 date "2014-08-06" @default.
• W2024300919 modified "2023-09-26" @default.
• W2024300919 title "A generalization of the two-dimensional Ising model and the Bragg–Williams mean-field theory" @default.
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• W2024300919 doi "https://doi.org/10.1088/0031-8949/89/9/095204" @default.
• W2024300919 hasPublicationYear "2014" @default.
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