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Static versus dynamic heterogeneities in the D = 3 Edwards-Anderson-Ising spin glass

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arxiv 1003.2943 v2 pith:3DUFI2LY submitted 2010-03-15 cond-mat.dis-nn

Static versus dynamic heterogeneities in the D = 3 Edwards-Anderson-Ising spin glass

Janus Collaboration: R. Alvarez Banos , A. Cruz , L.A. Fernandez , J. M. Gil-Narvion , A. Gordillo-Guerrero , M. Guidetti , A. Maiorano , F. Mantovani
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E. Marinari V. Martin-Mayor J. Monforte-Garcia A. Munoz Sudupe D. Navarro G. Parisi S. Perez-Gaviro J. J. Ruiz-Lorenzo S.F. Schifano B. Seoane A. Tarancon R. Tripiccione D. Yllanes
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classification cond-mat.dis-nn
keywords heterogeneitiesagingtransitiondynamicequilibriumglassphasescaling
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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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  1. Low energy excitations in a long prism geometry: testing the lower critical dimension of the Ising spin glass

    cond-mat.dis-nn 2026-01 conditional novelty 7.0

    A long-prism simulation of the 3D Ising spin glass yields lower critical dimension D_lc = 2.49(3), favoring mean-field 5/2 over the droplet-model value ≈2.61.