A temperature-conditioned diffusion model trained on small XY lattices produces accurate larger-lattice samples and cuts MCMC thermalization time by roughly 10x.
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In spiral wave chimera states the incoherent core radius scales linearly with phase lag α near zero while the average positive winding number grows exponentially with α and defect statistics transition from binomial-like to Poisson-like at a critical α*.
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Diffusion-warm sampling of the XY model enables fast thermalization at scale
A temperature-conditioned diffusion model trained on small XY lattices produces accurate larger-lattice samples and cuts MCMC thermalization time by roughly 10x.
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Topological defects in spiral wave chimera states
In spiral wave chimera states the incoherent core radius scales linearly with phase lag α near zero while the average positive winding number grows exponentially with α and defect statistics transition from binomial-like to Poisson-like at a critical α*.