An asymptotically exact expression is given for the mean displacement (R(t)) of random walks on directed percolation clusters on lattices in arbitrary dimensions. The critical behaviour of Rinfinity=limt to infinity(R(t)), the mean squared displacement and the relaxation time are discussed near the threshold probability pc=1 in terms of critical exponents.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)