Complete spectrum of stochastic master equation for random walks on treelike fractals
Statistical Mechanics
2011-11-11 v1 Classical Physics
Abstract
We study random walks on a family of treelike regular fractals with a trap fixed on a central node. We obtain all the eigenvalues and their corresponding multiplicities for the associated stochastic master equation, with the eigenvalues being provided through an explicit recursive relation. We also evaluate the smallest eigenvalue and show that its reciprocal is approximately equal to the mean trapping time. We expect that our technique can also be adapted to other regular fractals with treelike structures.
Keywords
Cite
@article{arxiv.1110.4459,
title = {Complete spectrum of stochastic master equation for random walks on treelike fractals},
author = {Zhongzhi Zhang and Bin Wu and Guanrong Chen},
journal= {arXiv preprint arXiv:1110.4459},
year = {2011}
}
Comments
Definitive version accepted for publication in EPL (Europhysics Letters)