Diffusion on Archimedean lattices.
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.
Basnarkov
Lasko
L
Saints Cyril and Methodius University, Faculty of Electrical Engineering, P. O. Box 574, Skopje, Macedonia. lasko@etf.ukim.edu.mk
Urumov
Viktor
V