Competing jump cycles for vacancy diffusion in binary alloys

The mean-first-passage-times (MFPTs) for a vacancy that diffuses (via one- and six-jump cycles) in a two dimensional ordered binary alloy are evaluated using the properties of random walks on networks. We investigate the effect of temperature and relative barrier height on the ratio between the MFPTs of the two cycles. We find that the six-jump cycle takes shorter time than the one-jump cycle for the range of parameters considered.