Mean field theory for the Ising model within generalized statistical thermodynamics (GST)

In this study, the Ising model, using the Bogolyubov inequality which has been obtained in the framework of the generalized statistical thermodynamics has been investigated ; with the mean-field theory approximation, the free energy of the magnetic system corresponding to the actual Hamiltonian has been established. By minimizing the free energy via variational techniques, the effect of the Tsallis q-index on the free energy, which is encountered in entropies inspired by the measurement in the multifractal structures, has been investigated.In this study, the Ising model, using the Bogolyubov inequality which has been obtained in the framework of the generalized statistical thermodynamics has been investigated ; with the mean-field theory approximation, the free energy of the magnetic system corresponding to the actual Hamiltonian has been established. By minimizing the free energy via variational techniques, the effect of the Tsallis q-index on the free energy, which is encountered in entropies inspired by the measurement in the multifractal structures, has been investigated