RELAXATION TO SPIN GLASS GROUND STATE IN ONE TO SIX DIMENSIONS
D. Stauffer, P.M.C. de Oliveira
TL;DR
This paper uses Monte Carlo simulations to approximate the ground state energy of the +-J Edwards-Anderson spin glass across one to six dimensions and studies the relaxation process of spin flips over time.
Contribution
It provides new simulation-based estimates of ground state energies and analyzes the dynamics of spin relaxation in spin glasses across multiple dimensions.
Findings
Approximate ground state energies obtained for dimensions 1 to 6.
The fraction of spins that never flip decreases over time during relaxation.
Insights into the relaxation dynamics of spin glasses across different dimensions.
Abstract
In the +-J Edwards-Anderson spin glass, we find by Monte Carlo simulation the (approximate) ground state energy. Also, we check how in the relaxation towards this ground state the fraction of never flipped spins diminishes with time.
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