A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements.
Marco Baity-JesiEnrico CaloreAndres CruzLuis Antonio FernandezJosé Miguel Gil-NarviónAntonio Gordillo-GuerreroDavid IñiguezAndrea MaioranoEnzo MarinariVictor Martin-MayorJorge Monforte-GarciaAntonio Muñoz SudupeDenis NavarroGiorgio ParisiSergio Perez-GaviroFederico Ricci-TersenghiJuan Jesus Ruiz-LorenzoSebastiano Fabio SchifanoBeatriz SeoaneAlfonso TarancónRaffaele TripiccioneDavid YllanesPublished in: Proceedings of the National Academy of Sciences of the United States of America (2017)
We have performed a very accurate computation of the nonequilibrium fluctuation-dissipation ratio for the 3D Edwards-Anderson Ising spin glass, by means of large-scale simulations on the special-purpose computers Janus and Janus II. This ratio (computed for finite times on very large, effectively infinite, systems) is compared with the equilibrium probability distribution of the spin overlap for finite sizes. Our main result is a quantitative statics-dynamics dictionary, which could allow the experimental exploration of important features of the spin-glass phase without requiring uncontrollable extrapolations to infinite times or system sizes.