Diffusion under crossed local and global biases in disordered systems

摘要

Diffusion on 2D site percolation clusters at p = 0.7, 0.8, and 0.0 above pc on the square lattice in the presence of two crossed bias fields, a local bias B and a global bias E, has been investigated. The global bias E is applied in a fixed global direction whereas the local bias B imposes a rotational constraint on the motion of the diffusing particle. The rms displacement R-t similar to t(k) in the presence of both biases is studied. Depending on the strength of E and B, the behavior of the random walker changes from diffusion to drift to no-drift or trapping. There is always diffusion for finite B with no global bias. A crossover from drift to no-drift at a critical global bias E-c is observed in the presence of local bias B for all disordered lattices. At the crossover, value of the rms exponent changes from k = 1 to k < 1, the drift velocity v(t) changes from constant in time t to decreasing power law nature, and the "relaxation" time has a maximum rate of change with respect to the global bias E. The value of critical bias E-c depends on the disorder p as well as on the strength of local bias B. Phase diagrams for diffusion, drift, and no-drift are obtained as a function of bias fields E and B for these systems. [References: 21]