Physics – Condensed Matter
Scientific paper
1995-07-13
Phys.Rev. B53 (1996) 6418
Physics
Condensed Matter
38 pages, RevTeX, 14 postscript figures
Scientific paper
10.1103/PhysRevB.53.6418
The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the autocorrelation function $C(t,t_w)=[< S_i(t+t_w)S_i(t_w)>]_{av}$ a typical aging scenario with a $t/t_w$ scaling is established. Investigating spatial correlations we find an algebraic growth law $\xi(t_w)\sim t_w^{\alpha(T)}$ of the average domain size. The spatial correlation function $G(r,t_w)=[< S_i(t_w)S_{i+r}(t_w)>^2]_{av}$ scales with $r/\xi(t_w)$. The sensitivity of the correlations in the spin glass phase with respect to temperature changes is examined by calculating a time dependent overlap length. In the two dimensional model we examine domain growth with a new method: First we determine the exact ground states of the various samples (of system sizes up to $100\times 100$) and then we calculate the correlations between this state and the states generated during a Monte Carlo simulation.
Kisker J.
Rieger Heiko
Santen Ludger
Schreckenberg Michael
No associations
LandOfFree
Off-Equilibrium Dynamics in Finite-Dimensional Spin Glass Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Off-Equilibrium Dynamics in Finite-Dimensional Spin Glass Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Off-Equilibrium Dynamics in Finite-Dimensional Spin Glass Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-53358