A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements

Marco Baity-Jesi; Enrico Calore; Andres Cruz; Luis Antonio Fernandez; José Miguel Gil-Narvión; Antonio Gordillo-Guerrero; David Iñiguez; Andrea Maiorano; Enzo Marinari; Victor Martin-Mayor; Jorge Monforte-Garcia; Antonio Muñoz Sudupe; Denis Navarro; Giorgio Parisi; Sergio Perez-Gaviro; Federico Ricci-Tersenghi; Juan Jesus Ruiz-Lorenzo; Sebastiano Fabio Schifano; Beatriz Seoane; Alfonso Tarancón; Raffaele Tripiccione; David Yllanes

doi:10.1073/pnas.1621242114

A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements

Marco Baity-Jesi
, Enrico Calore
, Andres Cruz
, Luis Antonio Fernandez
, José Miguel Gil-Narvión
, Antonio Gordillo-Guerrero
, David Iñiguez
, Andrea Maiorano
, Enzo Marinari
, Victor Martin-Mayor
, Jorge Monforte-Garcia
, Antonio Muñoz Sudupe
, Denis Navarro
, Giorgio Parisi^*
, Sergio Perez-Gaviro
, Federico Ricci-Tersenghi
, Juan Jesus Ruiz-Lorenzo
, Sebastiano Fabio Schifano
, Beatriz Seoane
, Alfonso Tarancón

Raffaele Tripiccione, David Yllanes

^*Corresponding author for this work

Institut de Physique Théorique
University of Ferrara
University of Zaragoza
Complutense University
University of Extremadura
Fundación Agencia Aragonesa para la Investigación y Desarrollo
University of Rome La Sapienza
National Research Council of Italy
Centro Universitario de la Defensa, Zaragoza
École Normale Supérieure
Syracuse University

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1838-1843
Number of pages	6
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	114
Issue number	8
DOIs	https://doi.org/10.1073/pnas.1621242114
State	Published - 21 Feb 2017
Externally published	Yes

Keywords

Fluctuation-dissipation relation
Glasses
Out-of-equilibrium dynamics
Spin glasses
Statics-dynamics equivalence

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10.1073/pnas.1621242114

Cite this

Baity-Jesi, M., Calore, E., Cruz, A., Fernandez, L. A., Gil-Narvión, J. M., Gordillo-Guerrero, A., Iñiguez, D., Maiorano, A., Marinari, E., Martin-Mayor, V., Monforte-Garcia, J., Sudupe, A. M., Navarro, D., Parisi, G., Perez-Gaviro, S., Ricci-Tersenghi, F., Ruiz-Lorenzo, J. J., Schifano, S. F., Seoane, B., ... Yllanes, D. (2017). A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements. Proceedings of the National Academy of Sciences of the United States of America, 114(8), 1838-1843. https://doi.org/10.1073/pnas.1621242114

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title = "A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements",

abstract = "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.",

keywords = "Fluctuation-dissipation relation, Glasses, Out-of-equilibrium dynamics, Spin glasses, Statics-dynamics equivalence",

author = "Marco Baity-Jesi and Enrico Calore and Andres Cruz and Fernandez, \{Luis Antonio\} and Gil-Narvi{\'o}n, \{Jos{\'e} Miguel\} and Antonio Gordillo-Guerrero and David I{\~n}iguez and Andrea Maiorano and Enzo Marinari and Victor Martin-Mayor and Jorge Monforte-Garcia and Sudupe, \{Antonio Mu{\~n}oz\} and Denis Navarro and Giorgio Parisi and Sergio Perez-Gaviro and Federico Ricci-Tersenghi and Ruiz-Lorenzo, \{Juan Jesus\} and Schifano, \{Sebastiano Fabio\} and Beatriz Seoane and Alfonso Taranc{\'o}n and Raffaele Tripiccione and David Yllanes",

year = "2017",

month = feb,

day = "21",

doi = "10.1073/pnas.1621242114",

language = "英语",

volume = "114",

pages = "1838--1843",

journal = "Proceedings of the National Academy of Sciences of the United States of America",

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Baity-Jesi, M, Calore, E, Cruz, A, Fernandez, LA, Gil-Narvión, JM, Gordillo-Guerrero, A, Iñiguez, D, Maiorano, A, Marinari, E, Martin-Mayor, V, Monforte-Garcia, J, Sudupe, AM, Navarro, D, Parisi, G, Perez-Gaviro, S, Ricci-Tersenghi, F, Ruiz-Lorenzo, JJ, Schifano, SF, Seoane, B, Tarancón, A, Tripiccione, R & Yllanes, D 2017, 'A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements', Proceedings of the National Academy of Sciences of the United States of America, vol. 114, no. 8, pp. 1838-1843. https://doi.org/10.1073/pnas.1621242114

A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements. / Baity-Jesi, Marco; Calore, Enrico; Cruz, Andres et al.
In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 114, No. 8, 21.02.2017, p. 1838-1843.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements

AU - Baity-Jesi, Marco

AU - Calore, Enrico

AU - Cruz, Andres

AU - Fernandez, Luis Antonio

AU - Gil-Narvión, José Miguel

AU - Gordillo-Guerrero, Antonio

AU - Iñiguez, David

AU - Maiorano, Andrea

AU - Marinari, Enzo

AU - Martin-Mayor, Victor

AU - Monforte-Garcia, Jorge

AU - Sudupe, Antonio Muñoz

AU - Navarro, Denis

AU - Parisi, Giorgio

AU - Perez-Gaviro, Sergio

AU - Ricci-Tersenghi, Federico

AU - Ruiz-Lorenzo, Juan Jesus

AU - Schifano, Sebastiano Fabio

AU - Seoane, Beatriz

AU - Tarancón, Alfonso

AU - Tripiccione, Raffaele

AU - Yllanes, David

PY - 2017/2/21

Y1 - 2017/2/21

N2 - 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.

AB - 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.

KW - Fluctuation-dissipation relation

KW - Glasses

KW - Out-of-equilibrium dynamics

KW - Spin glasses

KW - Statics-dynamics equivalence

UR - https://www.scopus.com/pages/publications/85013272347

U2 - 10.1073/pnas.1621242114

DO - 10.1073/pnas.1621242114

M3 - 文章

C2 - 28174274

AN - SCOPUS:85013272347

SN - 0027-8424

VL - 114

SP - 1838

EP - 1843

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 8

ER -

Baity-Jesi M, Calore E, Cruz A, Fernandez LA, Gil-Narvión JM, Gordillo-Guerrero A et al. A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements. Proceedings of the National Academy of Sciences of the United States of America. 2017 Feb 21;114(8):1838-1843. doi: 10.1073/pnas.1621242114

A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements

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Keywords

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