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Current issue   Ukr. J. Phys. 2014, Vol. 58, N 5, p.497-504

    Paper

Yushchenko O.V., Badalyan A.Yu.

Sumy State University
(2, Ryms’kyi-Korsakov Str., Sumy 40007, Ukraine; e-mail: yushchenko@phe.sumdu.edu.ua)

Microscopic Description of Nonextensive Systems in the Framework of the Ising Model

Section: General problems of theoretical physics
Original Author's Text: Ukrainian

Abstract: To describe the behavior of nonextensive systems, the deformed Ising Hamiltonian is introduced by substituting the spin variable si by the deformed one sqi. In the framework of mean-field theory, the phase transition paramagnet–ferromagnet is investigated for the deformed partition function. The influence of the non-extensive parameter q on the free-energy density and the steady-state value of order parameter is studied in the Landau approximation.

Key words: Ising model, Hamiltonian, order parameter.