Finite size corrections to disordered Ising models on Random Regular Graphs
Disordered Systems and Neural Networks
2014-08-04 v2
Abstract
We derive the analytical expression for the first finite size correction to the average free energy of disordered Ising models on random regular graphs. The formula can be physically interpreted as a weighted sum over all non self-intersecting loops in the graph, the weight being the free-energy shift due to the addition of the loop to an infinite tree.
Cite
@article{arxiv.1403.6049,
title = {Finite size corrections to disordered Ising models on Random Regular Graphs},
author = {Carlo Lucibello and Flaviano Morone and Giorgio Parisi and Federico Ricci-Tersenghi and Tommaso Rizzo},
journal= {arXiv preprint arXiv:1403.6049},
year = {2014}
}