We investigate here self-organised criticality (SOC) in two-dimensional dissipative sandpile models without the local conservation law. Both dissipative cellular automata and dissipative coupled map lattice models with open boundary conditions are considered. There appears to be no evidence for...

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 seven-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4⩽L⩽8. The exponents in the finite-size scaling relations for the magnetic susceptibility and the order parameter at the infinite-lattice critical...

The six-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4⩽L⩽10. The exponents in the finite-size scaling relations for the magnetic susceptibility and the order parameter at the infinite-lattice critical...