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 American Physical Society.
Finite-size corrections to disordered Ising models on random regular graphs
RicciTersenghi F;Rizzo T
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 American Physical Society.File in questo prodotto:
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