Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 116, Issue 31, Pages 15350-15355Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1819803116
Keywords
spin glasses; memory effects; Mpemba effect; nonequilibrium physics
Categories
Funding
- Ministerio de Economia, Industria y Competitividad, Spain - Fondo Europeo de Desarrollo Regional (FEDER) [FIS2013-42840-P, MTM2014-56948-C2-2-P, FIS2015-65078-C2, FIS2016-76359P, TEC2016-78358-R, MTM2017-84446-C2-2-R]
- Junta de Extremadura (Spain) - FEDER [GRU18079, IB16013]
- Diputacion General de Aragon-Fondo Social Europeo
- European Research Council under the European Union [694925, 723955]
- Soft and Living Matter Program at Syracuse University
- National Science Foundation [NSF-PHY-1748958]
- European Research Council (ERC) [723955, 694925] Funding Source: European Research Council (ERC)
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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.
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