000057837 001__ 57837
000057837 005__ 20200221144253.0
000057837 0247_ $$2doi$$a10.1103/PhysRevE.93.063308
000057837 0248_ $$2sideral$$a95932
000057837 037__ $$aART-2016-95932
000057837 041__ $$aeng
000057837 100__ $$aFytas, N.G.
000057837 245__ $$aEfficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions
000057837 260__ $$c2016
000057837 5060_ $$aAccess copy available to the general public$$fUnrestricted
000057837 5203_ $$aIt 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.
000057837 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FIS2012-35719-C02-01
000057837 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000057837 590__ $$a2.366$$b2016
000057837 591__ $$aPHYSICS, MATHEMATICAL$$b6 / 55 = 0.109$$c2016$$dQ1$$eT1
000057837 591__ $$aPHYSICS, FLUIDS & PLASMAS$$b10 / 31 = 0.323$$c2016$$dQ2$$eT1
000057837 592__ $$a1.27$$b2016
000057837 593__ $$aCondensed Matter Physics$$c2016$$dQ1
000057837 593__ $$aStatistics and Probability$$c2016$$dQ1
000057837 593__ $$aStatistical and Nonlinear Physics$$c2016$$dQ1
000057837 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000057837 700__ $$0(orcid)0000-0002-3376-0327$$aMartín-Mayor, V.
000057837 773__ $$g93, 6 (2016), 063308 [15 pp]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045
000057837 8564_ $$s541384$$uhttps://zaguan.unizar.es/record/57837/files/texto_completo.pdf$$yVersión publicada
000057837 8564_ $$s131039$$uhttps://zaguan.unizar.es/record/57837/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000057837 909CO $$ooai:zaguan.unizar.es:57837$$particulos$$pdriver
000057837 951__ $$a2020-02-21-13:28:41
000057837 980__ $$aARTICLE