Generalization of the mean-field Ising model within Tsallis thermostatistics
Makaleler > Tam Makale · 1997
Yazarlar: F BUYUKKILIC, DİLEK DEMIRHAN, Uğur TIRNAKLI
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 1997, cilt 238, ss 285-294
DOI: 10.1016/s0378-4371(96)00440-2
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.