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 / Lucibello, Carlo; F., Morone; Parisi, Giorgio; RICCI TERSENGHI, Federico; Tommaso, Rizzo. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 90:1(2014), pp. 012146-1-012146-10. [10.1103/physreve.90.012146]
Finite-size corrections to disordered Ising models on random regular graphs
LUCIBELLO, CARLO;PARISI, Giorgio;RICCI TERSENGHI, Federico;
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
