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: https://doi.org/10.1080/09500830801971462

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.

Viewing alternatives

Metrics

Public Attention

Altmetrics from Altmetric

Number of Citations

Citations from Dimensions

Item Actions

Export

About

Recommendations