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Phase transition within deformed Ising model

Alexander I. Olemskoi·Olga V. Yushchenko
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Abstract

Deformation of Ising Hamiltonian by means of replacing a site spin $s_i$ by $s_i^q$ and statistics generalization with help of the substituting deformed probability $p_i^q$ instead of $p_i$ are studied jointly within mean--field scheme. Such deformed model is shown to be related to the phase transition of the second order with unusual set of critical indices depending essentially on the deformation parameter $q$. Scaling relations turn out to be invariant with respect to the deformation.

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Alexander I. Olemskoi, Olga V. Yushchenko. 2003-03-14. Phase transition within deformed Ising model. https://arxiv.org/abs/cond-mat/0303266

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