Bulg. J. Phys. vol.40 no.2 (2013), pp. 159-164

On the Critical Behavior of the Inverse Susceptibility of a Model of Structural Phase Transitions

E.S. Pisanova, S.I. Ivanov
Department of Theoretical Physics, University of Plovdiv, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria
Abstract. An exactly solvable lattice model describing structural phase transitions in an anharmonic crystal with long-range interaction is considered in the neighborhoods of the quantum and classical critical points at the corresponding upper critical dimensions. In a broader neighborhood of the critical region the inverse susceptibility of the model is exactly calculated in terms of the Lambert W-function and graphically presented as a function of the deviation from the critical point and the upper critical dimension. For quantum and classical systems with real physical dimensions (chains, thin layers and three-dimensional systems) the exact results are compared with the asymptotic ones on the basis of some numerical data for their ratio. Relative errors are also provided.

Full-text: PDF

go back