The Ising models in seven and eight dimensions are simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4⩽L⩽8. Three different finite-size exponents for the order parameter near the curie point are computed to be 1.74 (3), 0.95 (2), 2.42 (5),...

The four-dimensional Ising model is simulated on the Creutz cellular automaton. The computed values of the critical temperature, the static critical exponents for the order parameter, the magnetic susceptibility, the specific heat, and the linear dynamical critical exponent for the order...

The double perovskite (DP) Sr2CrReO6, with its high Curie temperature, is a good candidate for magneto-electric and magneto-optic applications. Thus, a theoretical study by Monte Carlo Simulation (MCS) and Mean Field Approximation (MFA) in the context of the Ising model is important for a better...

Following Brandt and Ron's suggestion of inverting the renormalization group transformation used in Monte Carlo renormalization, it is shown that efficient computer simulations of the fixed point of the transformation can be carried out on very large systems without critical slowing down. We...

"This book describes the theoretical concepts of constructing asynchronous cellular automata with active cells. It also examines the use of theoretical principles for solving modeling problems and solving specific applied problems of forming pseudorandom sequences and image processing based on...