Matching Microscopic and Macroscopic Responses in Glasses.

Area of Science:

• Condensed Matter Physics
• Statistical Mechanics
• Materials Science

Background:

• Spin glasses are complex magnetic materials exhibiting unique properties.
• Understanding spin-glass coherence length is crucial for characterizing their behavior.
• Previous experiments have explored methods to measure this length, but further validation is needed.

Purpose of the Study:

• To reproduce and validate a key experiment measuring spin-glass coherence length.
• To determine the scaling behavior related to this length for quantitative analysis.
• To establish consistency between microscopic and macroscopic measurements of coherence length.

Main Methods:

• Reproducing a milestone experiment on Janus and Janus II computers.
• Utilizing the Zeeman effect to lower free-energy barriers and measure coherence length.
• Analyzing microscopic correlation functions and macroscopic response functions.

Main Results:

• Successful reproduction of the spin-glass coherence length measurement.
• Quantitative consistency found between microscopic and macroscopic measurement methods.
• Observed scaling behavior in nonlinear susceptibilities of glass-forming liquids.

Conclusions:

• The Zeeman effect provides a reliable method for measuring spin-glass coherence length.
• Microscopic and macroscopic measurements of coherence length are in agreement.
• The identified scaling behavior offers a new avenue for analyzing glass-forming liquids.