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Problems of temperature behavior of specific heat are solved by the entropysimulation method for Ising models on a simple square lattice and a square spinice (SSI) lattice with nearest neighbor interaction, models of hexagonallattices with short-range (SR) dipole interaction, as well as with long-range(LR) dipole interaction and free boundary conditions, and models of spinquasilattices with finite interaction radius. It is established that systems ofa finite number of Ising spins with LR dipole interaction can have unusualthermodynamic properties characterized by several specific-heat peaks in theabsence of an external magnetic field. For a parallel multicanonical samplingmethod, optimal schemes are found empirically for partitioning the space ofstates into energy bands for Ising and SSI models, methods of concatenation andrenormalization of histograms are discussed, and a flatness criterion ofhistograms is proposed. It is established that there is no phase transition ina model with nearest neighbor interaction on a hexagonal lattice, while thetemperature behavior of specific heat exhibits singularity in the same model,in case of LR interaction. A spin quasilattice is found that exhibits a nonzerovalue of residual entropy.

Multicanonical Sampling of the Space of States of H(2,n)-Vector Models