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BRIEF REPORTS Brief Reports are accounts of completed research which do not warrant regular articles or the priority handling given to Rapid
 

Summary: BRIEF REPORTS
Brief Reports are accounts of completed research which do not warrant regular articles or the priority handling given to Rapid
Communications; however, the same standards of scientific quality apply. (Addenda are included in Brief Reports.) A Brief Report may be
no longer than four printed pages and must be accompanied by an abstract. The same publication schedule as for regular articles is
followed, and page proofs are sent to authors.
Random walks on disordered networks
Tomaso Aste*
Equipe de Physique Statistique, LUDFC Universite´ Louis Pasteur, 3, rue de l'Universite´, Strasbourg, France
Received 22 November 1996
Random walks are studied on disordered cellular networks in two- and three-dimensional spaces with
arbitrary curvature. The coefficients of the evolution equation are calculated in terms of the structural proper-
ties of the cellular system. The effects of disorder and space curvature on the diffusion phenomena are
investigated. In disordered systems the mean squared displacement is increased at short times and decreased at
long ones, with respect to the ordered case. The asymptotic expression for the diffusion equation on hyperbolic
cellular systems relates random walks on curved lattices to hyperbolic Brownian motion.
S1063-651X 97 16605-3
PACS number s : 66.30. h, 05.40. j, 61.43. j
The simplest disordered networks are space-filling ran-
dom partitions of space by cells. The cells are convex, ir-
regular polygons in two dimensions 2D and irregular poly-

  

Source: Aste, Tomaso - Department of Applied Mathematics, Australian National University

 

Collections: Physics