Generalization of the Mean-Field Ising Model Within Tsallis Thermostatistics
Diğer yayınlar > Diğer · 1996
Yazarlar: Büyükkiliç, Fevzi, Demirhan, Doǧan, Uğur TIRNAKLI
Diğer, Uluslararası, 1996,
Özet
In this study, the mean-field Ising model, using the Bogolyubov inequality which has been obtained in the framework of the generalized statistical thermodynamics (GST), suitable for non-extensive systems, has been investigated. Generalized expressions for the mean-field magnetization and free energy have been established. These new results have been verified by the fact that they transform to the well-known Boltzmann-Gibbs results in the q → 1 limiting case. For the index q which characterizes the fractal structure of the magnetic system, an interval has been established where the generalized mean-field free energy has a minimum and mean-field magnetization has a corresponding finite value. The interval of q is consistent with paramagnetic free spin systems.