Publication: A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements
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2017-02-21
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National Academy of Sciences
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Abstract
The unifying feature of glass formers (such as polymers, supercooled liquids, colloids, granulars, spin glasses, superconductors, ...) is a sluggish dynamics at low temperatures. Indeed, their dynamics is so slow that thermal equilibrium is never reached in macroscopic samples: in analogy with living beings, glasses are said to age. Here, we show how to relate experimentally relevant quantities with the experimentally unreachable low-temperature equilibrium phase. We have performed a very accurate computation of the non-equilibrium fluctuation-dissipation ratio for the three-dimensional 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. The resulting quantitative statics-dynamics dictionary, based on observables that can be measured with current experimental methods, could allow the experimental exploration of important features of the spin-glass phase without uncontrollable extrapolations to infinite times or system sizes.
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© 2017 National Academy of Sciences. Artículo firmado por 22 autores. Some of the simulations in this work (the L < 80 systems, to check for size effects) where carried out on the Memento cluster: we thank staff from BIFI’s supercomputing center for their assistance. We thank Giancarlo Ruocco for guidance on the experimental literature. We warmly thank M. Pivanti for his contribution to the early stages of the development of the Janus II computer. We also thank Link Engineering (Bologna, Italy) for their precious role in the technical aspects related to the construction of Janus II. We thank EU, Government of Spain and Government of Aragón for the financial support (FEDER) of Janus II development. This work was partially supported by MINECO (Spain) through Grant Nos. FIS2012-35719-C02, FIS2013-42840- P, FIS2015-65078-C2, and by the Junta de Extremadura (Spain) through Grant No. GRU10158 (partially funded by FEDER). This project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 654971. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No 694925). DY acknowledges support by NSF-DMR-305184 and by the Soft Matter Program at Syracuse University. MBJ acknowledges the financial support from ERC grant NPRGGLASS.