Diffusion of ionic particles in charged disordered media

The results of the first realistic computer simulation of diffusion of char ged species in heterogeneous media with a quenched distribution of charge c enters are reported. They indicate that the charge centers create deep trap s that capture the mobile particles and slow down their motion for a long t ime. However, the mobile particles eventually escape the traps. Their motio n between the traps is diffusive. These results explain several sets of hit herto unexplained experimental data and resolve a long-standing controversy regarding the nature of transport of charged particles in a heterogeneous charged medium.