Random walks on carbon nanotubes and quasicrystals

Author:
Publisher website
Google Scholar
Abstract
An analytic formula for the total number of k -step walks between given sites on a carbon nanotube is obtained by using a new mathematical model based on a three-axes description of the honeycomb lattice. The new model represents an alternate mathematical description which may be useful in certain applications. It is similar to the four-axes description existing in the case of hexagonal crystals. The use of one or more additional axes is a fundamental method in quasicrystal physics. We show that the mathematical model we use for the honeycomb lattice can be defined in terms of a strip projection method, and present a method to associate some finite graphs to a quasicrystal. The random walks on these graphs are connected with random walks on a quasicrystal.

This publication has 16 references indexed in Scilit: