Testing replica predictions in experiments
Giorgio Parisi

TL;DR
This paper reviews the replica approach's predictions for static and dynamic properties, emphasizing the off-equilibrium fluctuation-dissipation relation and providing numerical evidence to support its validity, enabling experimental parameter estimation.
Contribution
It offers a comprehensive review of replica theory predictions and validates the off-equilibrium fluctuation-dissipation relation through numerical evidence.
Findings
Numerical evidence supports the off-equilibrium fluctuation-dissipation relation.
The approach enables experimental determination of replica theory parameters.
The review bridges static and dynamic predictions in replica theory.
Abstract
We review the predictions of the replica approach both for the statics and for the off-equilibrium dynamics. We stress the importance of the Cugliandolo-Kurchan off-equilibrium fluctuation-dissipation relation in providing a bridge between the statics and the dynamics. We present numerical evidence for the correctness of these relations. This approach allows an experimental determination of the basic parameters of the replica theory.
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