Aging Rate of Spin Glasses from Simulations Matches Experiments.

Area of Science:

• Condensed Matter Physics
• Computational Physics
• Statistical Mechanics

Background:

• Precise measurements of the exponent z(T) governing spin glass domain growth are now possible experimentally.
• Computational capabilities allow quantitative predictions for experimental scales in spin glass systems.
• Discrepancies exist between experimental and numerical values of the spin glass domain growth exponent z(T).

Purpose of the Study:

• To resolve the discrepancy between experimental and numerical values of the spin glass domain growth exponent z(T).
• To investigate the time-dependent nature of the exponent z(T) in spin glasses.
• To gain theoretical insights by studying crossovers between different fixed points in spin glass models.

Main Methods:

• Utilized new simulations on the Janus II computer.
• Investigated a time-dependent exponent z(T, tw).
• Studied the crossover between the T=Tc and T=0 fixed points.

Main Results:

• Identified a time-dependent exponent z(T, tw) that resolves the experimental-numerical discrepancy.
• Achieved agreement with experimental values through mild extrapolations of the time-dependent exponent.
• Gained theoretical understanding of spin glass dynamics by analyzing critical point crossovers.

Conclusions:

• The discrepancy in the spin glass domain growth exponent z(T) is resolved by considering its time-dependence.
• The newly identified time-dependent exponent z(T, tw) provides a unified framework for experimental and numerical data.
• The study offers significant theoretical insights into the complex behavior of spin glasses near critical temperatures.