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 τ (T) controls the dynamics. τ (T) diverges upon approaching the T = 0 critical point. The divergence of τ (T → 0) 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.

An experiment-oriented analysis of 2D spin-glass dynamics: A twelve time-decades scaling study / Fernandez, L. A.; Marinari, E.; Martin-Mayor, V.; Parisi, G.; Ruiz-Lorenzo, J. J.. - 52:22(2019), pp. 1-19. [10.1088/1751-8121/ab1364]

An experiment-oriented analysis of 2D spin-glass dynamics: A twelve time-decades scaling study

Marinari E.;
2019

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 τ (T) controls the dynamics. τ (T) diverges upon approaching the T = 0 critical point. The divergence of τ (T → 0) 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.
2019
disordered systems; numerical simulations; out-of-equilibrium dynamics; spin glasses
01 Pubblicazione su rivista::01a Articolo in rivista
An experiment-oriented analysis of 2D spin-glass dynamics: A twelve time-decades scaling study / Fernandez, L. A.; Marinari, E.; Martin-Mayor, V.; Parisi, G.; Ruiz-Lorenzo, J. J.. - 52:22(2019), pp. 1-19. [10.1088/1751-8121/ab1364]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1339775
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