Statistics of random walks on trapped lattices
Abstract
The theory of the longtime statistical behavior of random walkers on a lattice with randomly placed traps is reviewed. The moments [ φ_{N}^{k}], [ φ_{N}^{k} (0)] of the survival and origin return probabilities are obtained from the instanton induced branch cut in the 2 kpoint correlation function of a field theory. The asymptotic behaviors of these moments are N^{ζ( k)exp(const } · N^{d/( d + 2) } and N^{∆( k) }exp( const · N^{d + 2) }). The new value of ζ( k) and ∆ ( k) correct previously published values.
 Publication:

Nuclear Physics B
 Pub Date:
 October 1986
 DOI:
 10.1016/05503213(86)906000
 Bibcode:
 1986NuPhB.275..273B