publication . Article . Other literature type . Preprint . 1994

Aging and Domain Growth in the Two-Dimensional Ising Spin Glass Model

Rieger, H; Steckemetz, B; Schreckenberg, M;
Open Access
  • Published: 20 Aug 1994 Journal: Europhysics Letters (EPL), volume 27, pages 485-490 (issn: 0295-5075, eissn: 1286-4854, Copyright policy)
  • Publisher: IOP Publishing
Abstract
Interrupted aging in the two-dimensional Ising spin glass model with Gaussian couplings is established and investigated via extensive Monte-Carlo simulations. The spin autocorrelation function scales with $t/\tau(t_w)$, where $t_w$ is the waiting time and $\tau$ is equal to $t_w$ for waiting times smaller than the equilibration time $\tau_{\rm eq}$. The spatial correlations scale with $r/\xi(t_w)$, where the correlation length $\xi$ gives information about the averaged domain size in the system. Our results are better compatible with an algebraic growth law for $\xi(t_w)$, although it can also nicely be fitted to $(\log t_w)^{1/\psi}$ with $\psi\approx0.63$.
Subjects
arXiv: Condensed Matter::Disordered Systems and Neural NetworksCondensed Matter::Statistical MechanicsCondensed Matter::Soft Condensed Matter
free text keywords: General Physics and Astronomy, Monte Carlo method, Quantum mechanics, Physics, Autocorrelation, Condensed matter physics, Spin-½, Spin glass, Coupling, Correlation function (statistical mechanics), Gaussian, symbols.namesake, symbols, Ising model, Condensed Matter, High Energy Physics - Lattice
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