11. This motivates the reason for the Ising Model to be simulated using Monte Carlo Methods. 12. :: : I never said that all aspects of the Ising model are trivial. 13. This defines a reversible cellular automaton which can be used to investigate the Ising model . 14. He obtained the exact solution for the two dimensional Ising model in zero field in 1944. 15. It is an Ising model with long range frustrated ferro-as well as antiferromagnetic couplings. 16. The frustration index is important in a model of spin glasses, the mixed Ising model . 17. He made significant contributions quantum solid-state physics, statistical mechanics and the Ising model . 18. The 2-dimensional majority vote cellular automaton ( CA ) is analogous to the Ising model . 19. Mutzel's other contributions include works on the Ising model , steganography, and Steiner trees. 20. The Ising model on a two-dimensional square lattice with no magnetic field was analytically solved by.