Relaxational Modes and Aging in the Glauber Dynamics of the Sherrington-Kirkpatrick Model
Hajime Yoshino, Koji Hukushima, Hajime Takayama
TL;DR
This paper investigates the relaxational modes and aging phenomena in the Glauber dynamics of the Sherrington-Kirkpatrick spin-glass model, revealing hierarchical growth of quasi-equilibrium domains through numerical and simulation methods.
Contribution
It introduces a numerical diagonalization and Monte Carlo approach to analyze aging and relaxational modes in the SK model, providing new insights into its phase-space dynamics.
Findings
Aging is characterized by hierarchical growth of quasi-equilibrium domains.
Relaxational modes are analyzed via numerical diagonalization.
Monte Carlo simulations support the hierarchical aging picture.
Abstract
The relaxational modes and aging of the Glauber dynamics of the mean-field spin-glass model, SK model, are studied by a numerical diagonalization technique and Monte Carlo simulations. We found that the aging process of the model is understood as hierarchical growth of quasi-equilibrium domain in the phase-space.
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Taxonomy
TopicsSolid-state spectroscopy and crystallography · Material Dynamics and Properties · Optical properties and cooling technologies in crystalline materials