Stick-breaking model for variable-range hopping

Wilkinson, M.; Mehlig, B. and Bezuglyy, V. (2008). Stick-breaking model for variable-range hopping. Philosophical Magazine Letters, 88(5), pp. 327–344.

DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1080/09500830801971462
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Abstract

We consider the optimal conduction path of the one-dimensional variable-range hopping problem. We describe a hierarchical procedure for constructing the path which is in excellent agreement with numerical results obtained from a percolation approach. The advantage of the hierarchical construction is that it is easier to analyse. We show that the distribution of hopping lengths is well-approximated by a model for the repeated breaking of a stick at its weakest point, until the fragments are too strong to be broken.

Item Type:	Journal Article
Copyright Holders:	2010 Taylor and Francis
ISSN:	0950-0839
Keywords:	disordered materials; electrical transport; hopping conduction; localised states
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	25386
Depositing User:	Michael Wilkinson
Date Deposited:	11 Dec 2010 16:56
Last Modified:	04 Jan 2011 15:32
URI:	http://oro.open.ac.uk/id/eprint/25386

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