2018/05/31 by L A Fernandez, L. A. Fernandez, E. Marinari +7 · 1 citation
Materials Science · Physics and Astronomy · #Chemical and Physical Properties of Materials #Critical phenomena #Dynamic scaling #Ising model #Material Dynamics and Properties #Renormalization group #Scaling #Spin glass #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8121/ab1364
published as L A Fernandez et al 2019 J. Phys. A: Math. Theor. 52 224002 · 21 pages, 9 figures. Updated references. Added DOI and Journal ref
openalex created_date 2018/06/01 · openalex publication_date 2019/03/26 · arxiv created 2019/05/06 · arxiv updated 2019/05/07 · openalex updated_date 2026/08/06
Abstract Recent high precision experimental results on spin-glass films ask for a detailed understanding of the domain-growth dynamics of two-dimensional spin glasses. To achieve this goal, we numerically simulate the out-equilibrium dynamics of the Ising spin glass for a time that spans close to twelve orders of magnitude (from picoseconds to order of a second), in systems large enough to avoid finite-size effects. We find that the time-growth of the size of the glassy domains is excellently described by a single scaling function. A single time-scale controls the dynamics. diverges upon approaching the T = 0 critical point. The divergence of is Arrhenius-like, with a barrier height that depends very mildly on temperature. The growth of this barrier-height is best described by critical dynamics. As a side product we obtain an impressive confirmation of universality of the equilibrium behavior of two-dimensional spin-glasses.