title: Diffusion on Archimedean lattices.
abstract: We consider random diffusive motion of classical particles over the edges of Archimedean lattices. The diffusion coefficient is obtained by using periodic orbit theory. We also study deterministic motion over a honeycomb lattice without the possibility for an immediate return to the preceding node, controlled by a tent map with the golden ratio slope. Numerical analysis is performed to confirm the theoretical results.
authors.affiliation: Saints Cyril and Methodius University, Faculty of Electrical Engineering, P. O. Box 574, Skopje, Macedonia. lasko@etf.ukim.edu.mk
authors.forename: Lasko
authors.initials: L
authors.lastname: Basnarkov
authors.forename: Viktor
authors.initials: V
authors.lastname: Urumov