Dynamic behaviors of the ising model on the Cayley Tree with three interactions

In this thesis, the phase diagrams of the Ising model which generated the Hamiltonian with ternary competing interactions on Cayley tree of order three and four are studied. At first, the iterative equations that correspond to the Ising system, described earlier, are obtained. Then phase diagrams are plotted (sound signal recorded) by means of computer programming codes to investigate the limit behavior of the recursive equations obtained. These phase diagrams are interpreted.