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.

Finite-size corrections to disordered Ising models on random regular graphs

Lucibello Carlo;
2014

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.
2014
Lucibello, Carlo; Morone, Flaviano; Parisi, Giorgio; Ricci-Tersenghi, Federico; Rizzo, Tommaso
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11565/4025611
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