Static versus Dynamic Heterogeneities in the D=3 Edwards-Anderson-Ising Spin Glass

R. Alvarez Baños, A. Cruz, L. A. Fernandez, J. M. Gil-Narvion, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martin-Mayor, J. Monforte-Garcia, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Perez-Gaviro, J. J. Ruiz-Lorenzo, S. F. Schifano, B. Seoane, A. Tarancon, R. Tripiccione, and D. Yllanes
Phys. Rev. Lett. 105, 177202 – Published 20 October 2010

Abstract

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in equilibrium have static heterogeneities that obey finite-size scaling, thus signaling an analogous phase transition in the thermodynamical limit. We compute the critical exponents and the transition point in the equilibrium setting, and use them to show that aging in dynamic heterogeneities can be described by a finite-time scaling ansatz, with potential implications for experimental work.

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  • Received 23 March 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.177202

© 2010 The American Physical Society

Authors & Affiliations

R. Alvarez Baños1,2, A. Cruz2,1, L. A. Fernandez3,1, J. M. Gil-Narvion1, A. Gordillo-Guerrero4,1, M. Guidetti5, A. Maiorano6,1, F. Mantovani7, E. Marinari6, V. Martin-Mayor3,1, J. Monforte-Garcia1,2, A. Muñoz Sudupe3, D. Navarro8, G. Parisi6, S. Perez-Gaviro1,6, J. J. Ruiz-Lorenzo9,1, S. F. Schifano10, B. Seoane3,1, A. Tarancon2,1, R. Tripiccione10, and D. Yllanes3,1

  • 1Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), 50009 Zaragoza, Spain
  • 2Departamento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain
  • 3Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain
  • 4Departamento de Ingeniería Eléctrica, Electrónica y Automática, Universidad de Extremadura, 10071, Cáceres, Spain
  • 5Dipartimento di Fisica, Università di Ferrara and INFN-Sezione di Ferrara, Ferrara, Italy
  • 6Dipartimento di Fisica, INFM and INFN, Università di Roma “La Sapienza,” 00185 Roma, Italy
  • 7DESY, D-15738 Zeuthen, Germany
  • 8Departamento de Ingeniería, Electrónica y Comunicaciones and I3A, Universidad de Zaragoza, 50018 Zaragoza, Spain
  • 9Departamento de Física, Universidad de Extremadura, 06071 Badajoz, Spain
  • 10Dipartimento di Fisica Università di Ferrara and INFN-Sezione di Ferrara, Ferrara, Italy

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Vol. 105, Iss. 17 — 22 October 2010

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