We study the finite-size corrections to the free-energy density in disordered spin systems on sparse random graphs, using both replica theory and the cavity method. We derive analytical expressions for the O(1/N) corrections in the replica symmetric phase as a linear combination of the free energies of open and closed chains. We perform a numerical check of the formulas on the random-field Ising model at zero temperature by computing finite-size corrections to the ground-state energy density. © 2013 American Physical Society.
Finite-size corrections to disordered systems on Erdös-Rényi random graphs / U., Ferrari; Lucibello, Carlo; F., Morone; Parisi, Giorgio; RICCI TERSENGHI, Federico; T., Rizzo. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 88:18(2013). [10.1103/physrevb.88.184201]
Finite-size corrections to disordered systems on Erdös-Rényi random graphs
LUCIBELLO, CARLO;PARISI, Giorgio;RICCI TERSENGHI, Federico;
2013
Abstract
We study the finite-size corrections to the free-energy density in disordered spin systems on sparse random graphs, using both replica theory and the cavity method. We derive analytical expressions for the O(1/N) corrections in the replica symmetric phase as a linear combination of the free energies of open and closed chains. We perform a numerical check of the formulas on the random-field Ising model at zero temperature by computing finite-size corrections to the ground-state energy density. © 2013 American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
