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The Wavelet-Analysis at Monte–Carlo Modeling of Phase Transitions in a Ferroelastic Crystal of Lithium Ammonium Sulphate

Using methods of the wavelet—analysis at Monte—Carlo modeling a behavior of thermodynamic parameters of Ising model for the ferroelectric—ferroelastic crystal of lithium ammonium sulphate LiNH4SO4 is studied. The discussed method is similar to Monte—Carlo Renormalization Group (MCRG), but it is more effective, thanks to a presence of algorithm of fast wavelet–transformation (WT). The short review of the wavelet transform and Monte—Carlo modeling by means of MCRG algorithm has been made. Temperature dependences of a specific heat capacity and dielectric permittivity for a set of lattice models with the sizes N × N at N = 64, 128, and 256 were derived as a result of 1, 2, 3-level WT. Critical exponents are found by numerical differentiation of a temperature dependence of thermodynamic parameters near a temperature of phase transition.