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

C. Lucibello; F. Morone; G. Parisi; F. Ricci-Tersenghi; Tommaso Rizzo

doi:10.1103/PhysRevE.90.012146

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

C. Lucibello
, F. Morone
, G. Parisi
, F. Ricci-Tersenghi
, Tommaso Rizzo

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

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.

Original language	English
Article number	012146
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	90
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.90.012146
State	Published - 31 Jul 2014
Externally published	Yes

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10.1103/PhysRevE.90.012146

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title = "Finite-size corrections to disordered Ising models on random regular graphs",

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.",

author = "C. Lucibello and F. Morone and G. Parisi and F. Ricci-Tersenghi and Tommaso Rizzo",

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AU - Morone, F.

AU - Parisi, G.

AU - Ricci-Tersenghi, F.

AU - Rizzo, Tommaso

PY - 2014/7/31

Y1 - 2014/7/31

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AB - 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.

UR - https://www.scopus.com/pages/publications/84905483351

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DO - 10.1103/PhysRevE.90.012146

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AN - SCOPUS:84905483351

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

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