The Mpemba effect in spin glasses is a persistent memory effect

The Mpemba effect in spin glasses is a persistent memory effect

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 cohe...

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Published in:Proceedings of the National Academy of Sciences - PNAS Vol. 116; no. 31; pp. 15350 - 15355
Main Authors: Baity-Jesi, Marco, Calore, Enrico, Cruz, Andres, Fernandez, Luis Antonio, Gil-Narvión, José Miguel, Gordillo-Guerrero, Antonio, Iñiguez, David, Lasanta, Antonio, Maiorano, Andrea, Marinari, Enzo, Martin-Mayor, Victor, Moreno-Gordo, Javier, Sudupe, Antonio Mun˜oz, Navarro, Denis, Parisi, Giorgio, Perez-Gaviro, Sergio, Ricci-Tersenghi, Federico, Ruiz-Lorenzo, Juan Jesus, Schifano, Sebastiano Fabio, Seoane, Beatriz, Tarancón, Alfonso, Tripiccione, Raffaele, Yllanes, David
Format: Journal Article
Language:English
Published: United States National Academy of Sciences 30-07-2019
Subjects:
Coherence length
Critical temperature
Internal energy
Physical Sciences
Spin glasses
memory effects
Mpemba effect
nonequilibrium physics
spin glasses
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Summary: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 ξ 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 ξ 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.
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Author contributions: L.A.F., A.L., E.M., V.M.-M., and J.J.R.-L. designed research; M.B.-J., E.C., A.C., L.A.F., J.M.G.-N., A.G.-G., D.I., A.L., A.M., E.M., V.M.-M., J.M.-G., A.M.S., D.N., G.P., S.P.-G., F.R.-T., J.J.R.-L., S.F.S., B.S., A.T., R.T., and D.Y. performed research; L.A.F., A.L., V.M.-M., and J.J.R.-L. analyzed data; M.B.-J., E.C., A.C., J.M.G.-N., A.G.-G., D.I., A.M.S., S.P.-G., S.F.S., A.T., and R.T. contributed Janus II hardware/software development; L.A.F., A.L., A.M., E.M., V.M.-M., J.M.-G., G.P., F.R.-T., J.J.R.-L., and D.Y. contributed physical interpretation of results; J.M.G.-N. and D.N. contributed Janus II simulation software; D.I., S.F.S., A.T., and R.T. contributed Janus II design; and M.B.-J., A.L., V.M.-M., J.M.-G., F.R.-T., J.J.R.-L., B.S., and D.Y. wrote the paper.
Reviewers: K.B., University of Mainz; and S.S., Jawaharlal Nehru Center for Advanced Scientific Research.
Contributed by Giorgio Parisi, June 6, 2019 (sent for review December 5, 2018; reviewed by Kurt Binder and Srikanth Sastry)
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.1819803116