Generalization of the mean-field Ising model within Tsallis thermostatistics


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BUYUKKILIC F., DEMIRHAN D., Tirnakli U.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.238, ss.285-294, 1997 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 238
  • Basım Tarihi: 1997
  • Doi Numarası: 10.1016/s0378-4371(96)00440-2
  • Dergi Adı: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.285-294

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.