MicSA reduces random-number generation in Monte Carlo simulations for 3D Ising spin glasses, supporting massively parallel GPU execution whose dynamics map to standard results via time rescaling.
Dahlberg et al, arXiv:2412.08381, to appear in Rev
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A continuous internal symmetry explains the absence of finite-temperature spin glass ordering in 2D and allows a continuously varying order parameter in higher dimensions, matching mean-field behavior.
The paper recounts Talagrand's 2006 proof of the Parisi formula for the Sherrington-Kirkpatrick model and related structural results that made mean-field spin glass theory rigorous.
citing papers explorer
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Microcanonical simulated annealing: Massively parallel Monte Carlo simulations with sporadic random-number generation
MicSA reduces random-number generation in Monte Carlo simulations for 3D Ising spin glasses, supporting massively parallel GPU execution whose dynamics map to standard results via time rescaling.
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On the nature of the spin glass transition
A continuous internal symmetry explains the absence of finite-temperature spin glass ordering in 2D and allows a continuously varying order parameter in higher dimensions, matching mean-field behavior.
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Michel Talagrand and the Rigorous Theory of Mean Field Spin Glasses
The paper recounts Talagrand's 2006 proof of the Parisi formula for the Sherrington-Kirkpatrick model and related structural results that made mean-field spin glass theory rigorous.