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

Creative Commons You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.

Exportado de SIDERAL (2020-02-21-13:28:41)

Este artículo se encuentra en las siguientes colecciones:

 Record created 2016-12-14, last modified 2020-02-21

Versión publicada:
Rate this document:

Rate this document:
(Not yet reviewed)