The Mpemba effect in spin glasses is a persistent memory effect.

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The Mpemba effect occurs when a hot system cools faster than an initially colder one, when both are refrigerated in the same thermal reservoir. Using the custom-built supercomputer Janus II, we study the Mpemba effect in spin glasses and show that it is a nonequilibrium process, governed by the coherence length xi of the system. The effect occurs when the bath temperature lies in the glassy phase, but it is not necessary for the thermal protocol to cross the critical temperature. In fact, the Mpemba effect follows from a strong relationship between the internal energy and xi that turns out to be a sure-tell sign of being in the glassy phase. Thus, the Mpemba effect presents itself as an intriguing avenue for the experimental study of the coherence length in supercooled liquids and other glass formers.
© 2019 Natl acd sciences. Artículo firmado por más de 10 autores. We thank Raymond Orbach, Srikanth Sastry, and Marija Vucelja for very interesting comments. This work was partially supported by Ministerio de Economia, Industria y Competitividad, Spain, Grants FIS2013-42840-P, MTM2014-56948-C2-2-P, FIS2015-65078-C2, FIS2016-76359P, TEC2016-78358-R, and MTM2017-84446-C2-2-R [grants were also partly funded by Fondo Europeo de Desarrollo Regional (FEDER)]; by Junta de Extremadura (Spain) Grants GRU18079 and IB16013 (partially funded by FEDER); and the Diputacion General de Aragon-Fondo Social Europeo. This project has received support from the European Research Council under the European Union's Horizon 2020 Research and Innovation Program Grants 694925 and 723955-GlassUniversality. D.Y. was supported by the Soft and Living Matter Program at Syracuse University. E.M. and D.Y. thank the Kavli Institute for Theoretical Physics and its "Memory Formation in Matter" program, where contributions to the present work were developed, and were supported by National Science Foundation Grant NSF-PHY-1748958.
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