000061657 001__ 61657
000061657 005__ 20190709135435.0
000061657 0247_ $$2doi$$a10.1103/PhysRevE.95.042117
000061657 0248_ $$2sideral$$a99086
000061657 037__ $$aART-2017-99086
000061657 041__ $$aeng
000061657 100__ $$aFytas, N.G.
000061657 245__ $$aRestoration of dimensional reduction in the random-field Ising model at five dimensions
000061657 260__ $$c2017
000061657 5060_ $$aAccess copy available to the general public$$fUnrestricted
000061657 5203_ $$aThe random-field Ising model is one of the few disordered systems where the perturbative renormalization group can be carried out to all orders of perturbation theory. This analysis predicts dimensional reduction, i.e., that the critical properties of the random-field Ising model in D dimensions are identical to those of the pure Ising ferromagnet in D-2 dimensions. It is well known that dimensional reduction is not true in three dimensions, thus invalidating the perturbative renormalization group prediction. Here, we report high-precision numerical simulations of the 5D random-field Ising model at zero temperature. We illustrate universality by comparing different probability distributions for the random fields. We compute all the relevant critical exponents (including the critical slowing down exponent for the ground-state finding algorithm), as well as several other renormalization-group invariants. The estimated values of the critical exponents of the 5D random-field Ising model are statistically compatible to those of the pure 3D Ising ferromagnet. These results support the restoration of dimensional reduction at D=5. We thus conclude that the failure of the perturbative renormalization group is a low-dimensional phenomenon. We close our contribution by comparing universal quantities for the random-field problem at dimensions 3=D<6 to their values in the pure Ising model at D-2 dimensions, and we provide a clear verification of the Rushbrooke equality at all studied dimensions.
000061657 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FIS2015-65078-C2-1-P
000061657 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/
000061657 590__ $$a2.284$$b2017
000061657 591__ $$aPHYSICS, MATHEMATICAL$$b7 / 55 = 0.127$$c2017$$dQ1$$eT1
000061657 591__ $$aPHYSICS, FLUIDS & PLASMAS$$b12 / 31 = 0.387$$c2017$$dQ2$$eT2
000061657 592__ $$a0.979$$b2017
000061657 593__ $$aCondensed Matter Physics$$c2017$$dQ1
000061657 593__ $$aStatistical and Nonlinear Physics$$c2017$$dQ1
000061657 593__ $$aStatistics and Probability$$c2017$$dQ2
000061657 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000061657 700__ $$0(orcid)0000-0002-3376-0327$$aMartín-Mayor, V.
000061657 700__ $$aPicco, M.
000061657 700__ $$aSourlas, N.
000061657 773__ $$g95, 4 (2017), 042117 [8 pp]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045
000061657 8564_ $$s509643$$uhttps://zaguan.unizar.es/record/61657/files/texto_completo.pdf$$yVersión publicada
000061657 8564_ $$s133827$$uhttps://zaguan.unizar.es/record/61657/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000061657 909CO $$ooai:zaguan.unizar.es:61657$$particulos$$pdriver
000061657 951__ $$a2019-07-09-11:33:54
000061657 980__ $$aARTICLE