Ising model on decorated square lattice is studied with arbitrary signs and values of exchange parameters in an external magnetic field. Comparison with the results of Ising madel on nondecorated square lattice is performed. It is shown that if magnetization increases antiferromagnetically then initial phase-transition-point gradually decreases up to the first frustration field and does not appear again even if further frustration fields apear. In the case of ferromagnetic type of magnetization increasing the phase transition disappears right away after switching on of magnetic field. In other words, an arbitrary low field
completely suppresses the phase transition.
Critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice is studied by the short-time dynamics method. Cubic systems with periodic boundary conditions and linear sizes of L = 32, 64, 96, and 128 in each crystallographic direction are studied. Calculations were carried out by the Monte Carlo method using the standard Metropolis algorithm. The static critical exponents for the magnetization and correlation radius and the dynamic critical exponents are calculated.
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