Diffusion trapping times and dynamic percolation in an Ising system

摘要: We address the problem of diffusion through dynamic Ising network structures using random walkers (RWs) whose net displacements are partitioned into two contributions, arising from (1) transport neighboring “conducting” clusters and (2) self-diffusion site on which RW finds itself, respectively. At finite temperatures, conducting in exhibit correlated behavior, making our model system different to most prior published work, has largely been at percolation limit. also present a novel heuristic scaling analysis for this that utilizes new exponent θz representing trapping time as function “distance” transition. Simulation results two-dimensional networks show when θz=2, value found independent physical arguments, equations appear capture universal behavior system, both (infinite temperature) temperature cond...