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.
authors.affiliation: Dipartimento di Fisica,"Sapienza" University of Rome, Piazzale Aldo Moro 2, I-00185 Rome, Italy.
authors.forename: C
authors.initials: C
authors.lastname: Lucibello
authors.affiliation: Levich Institute and Physics Department, City College of New York, New York, New York 10031, USA.
authors.forename: F
authors.initials: F
authors.lastname: Morone
authors.affiliation: Dipartimento di Fisica, IPCF-CNR, UOS Roma, and INFN, Sezione di Roma 1, "Sapienza" University of Rome, Piazzale Aldo Moro 2, I-00185 Rome, Italy.
authors.forename: G
authors.initials: G
authors.lastname: Parisi
authors.affiliation: Dipartimento di Fisica, IPCF-CNR, UOS Roma, and INFN, Sezione di Roma 1, "Sapienza" University of Rome, Piazzale Aldo Moro 2, I-00185 Rome, Italy.
authors.forename: F
authors.initials: F
authors.lastname: Ricci-Tersenghi
authors.affiliation: IPCF-CNR, UOS Roma, "Sapienza" University of Rome, Piazzale Aldo Moro 2, I-00185 Rome, Italy.
authors.forename: Tommaso
authors.initials: T
authors.lastname: Rizzo
mesh_terms: D005898:Glass; D060526:Magnetic Fields; D060328:Magnetic Phenomena; D008962:Models, Theoretical; D011336:Probability