On the Thermodynamic Limit in Random Resistors Networks
Condensed Matter
2009-10-28 v2 High Energy Physics - Lattice
Abstract
We study a random resistors network model on a euclidean geometry . We formulate the model in terms of a variational principle and show that, under appropriate boundary conditions, the thermodynamic limit of the dissipation per unit volume is finite almost surely and in the mean. Moreover, we show that for a particular thermodynamic limit the result is also independent of the boundary conditions.
Keywords
Cite
@article{arxiv.cond-mat/9605132,
title = {On the Thermodynamic Limit in Random Resistors Networks},
author = {F. Guerra and M. Talevi},
journal= {arXiv preprint arXiv:cond-mat/9605132},
year = {2009}
}
Comments
14 pages, LaTeX IOP journal preprint style file `ioplppt.sty', revised version to appear in Journal of Physics A