Computer Simulation of Spin Relaxation in Diluted Lattices
Diffusion of spin relaxation from a single site on a square lattice has been simulated on a computer. In order to form the connecting path, it is necessary that a site be occupied, its spin be down, and be chosen by random-walk criterion. In the initial configuration a site is occupied with probability p1, with its spin being down with probability p2. Three distinct cases are considered for calculating the diffusion paths: (i) Occupation of sites and spin orientations remain unchanged during simulation, (ii) Occupation of sites remains unchanged, while the spin orientations vary, the total probability of spin Being down is maintained to be p2 during simulation, (iii) Both occupation of sites and spin orientations vary, the total probabilities being maintained to be p1 and p2, respectively, during simulation. The variations of both p1 and p2 were considered to be over the 0 to 1 range. The percolation threshold, was found to be pc = p1 xp2 = 0.593, in agreement with the theoretically predicted value pc = 0.59275 for a square lattice.