Numerical Simulations of the Dynamical Behavior of the SK Model
Enzo Marinari, Giorgio Parisi, Davide Rossetti
TL;DR
This paper uses large-scale numerical simulations to analyze the dynamical properties of the SK model, focusing on magnetization decay, energy decay, and aging phenomena at low temperatures.
Contribution
It provides new insights into the dynamical behavior of the SK model through extensive simulations enabled by supercomputing resources.
Findings
Remnant magnetization and its decay exponent determined
Energy decay exponent measured
Aging phenomena observed in the model
Abstract
We study the dynamical behavior of the Sherrington Kirkpatrick model. Thanks to the APE supercomputer we are able to analyze large lattice volumes, and to investigate the low region. We present a determination of the remnant magnetization and of its time decay exponent, of the energy time decay exponent, and we discuss aging phenomena in the model.
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