Mean Field Dynamical Exponents in Finite-Dimensional Ising Spin Glass
arXiv:cond-mat/9702030 · doi:10.1088/0305-4470/30/20/015
Abstract
We report the value of the dynamical critical exponent z for the six dimensional Ising spin glass, measured in three different ways: from the behavior of the energy and the susceptibility with the Monte Carlo time and by studying the overlap-overlap correlation function as a function of the space and time. All three results are in a very good agreement with the Mean Field prediction z=4. Finally we have studied numerically the remanent magnetization in 6 and 8 dimensions and we have compared it with the behavior observed in the SK model, that we have computed analytically.
20 pages, 12 figures, uses epsfig.sty. One reference added. Also available at http://chimera.roma1.infn.it/index_papers_complex.html
Cited by in corpus (18)
- Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses
- On the Phase Structure of the 3D Edwards Anderson Spin Glass
- An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
- Stiffness of the Edwards-Anderson Model in all Dimensions
- Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
- Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses
- Large time zero temperature dynamics of the spherical p=2-spin glass model of finite size
- Strong ergodicity breaking in aging of mean field spin glasses
- Small Window Overlaps Are Effective Probes of Replica Symmetry Breaking in 3D Spin Glasses
- On the Dynamics of the 4d Spin Glass in a magnetic field
- 3D Spin Glass and 2D Ferromagnetic XY Model: a Comparison
- A small-world search for quantum speedup: How small-world interactions can lead to improved quantum annealer designs
- Spin Glasses on the Hypercube
- Critical Off-Equilibrium Dynamics in Glassy Systems
- The connection between statics and dynamics of spin glasses
- Spatial correlation functions and dynamical exponents in very large samples of 4D spin glasses
- Low T Dynamical Properties of Spin Glasses Smoothly Extrapolate to T=0
- Numerical study of the dynamics of some long range spin glass models