Efficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions

Fytas, N.G. ; Martín-Mayor, V.

Resumen: It was recently shown [Phys. Rev. Lett. 110, 227201 (2013)] that the critical behavior of the random-field Ising model in three dimensions is ruled by a single universality class. This conclusion was reached only after a proper taming of the large scaling corrections of the model by applying a combined approach of various techniques, coming from the zero- and positive-temperature toolboxes of statistical physics. In the present contribution we provide a detailed description of this combined scheme, explaining in detail the zero-temperature numerical scheme and developing the generalized fluctuation-dissipation formula that allowed us to compute connected and disconnected correlation functions of the model. We discuss the error evolution of our method and we illustrate the infinite limit-size extrapolation of several observables within phenomenological renormalization. We present an extension of the quotients method that allows us to obtain estimates of the critical exponent a of the specific heat of the model via the scaling of the bond energy and we discuss the self-averaging properties of the system and the algorithmic aspects of the maximum-flow algorithm used.

Idioma: Inglés

DOI: 10.1103/PhysRevE.93.063308

Año: 2016

Publicado en: Physical Review E 93, 6 (2016), 063308 [15 pp]
ISSN: 2470-0045

Factor impacto JCR: 2.366 (2016)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 6 / 55 = 0.109 (2016) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 10 / 31 = 0.323 (2016) - Q2 - T1

Factor impacto SCIMAGO: 1.27 - Condensed Matter Physics (Q1) - Statistics and Probability (Q1) - Statistical and Nonlinear Physics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2012-35719-C02-01

Tipo y forma: Artículo (Versión definitiva)