SCALING RELATIONSHIPS FOR ANISOTROPIC RANDOM-WALKS

Aspects of transport in a highly multiple-scattering environment are investigated by examining random walkers moving in media having anisotropic angular scattering cross sections (turn-angle distributions). A general expression is Obtained for the mean square displacement [x2] of a random walker executing an n-step walk in an infinite homogeneous material, and results are used to predict scaling relations for the probability gamma(rho) that a walker returns to the planar surface of a semi-infinite medium at a distance rho from the point of its insertion.