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Preprint Sep 2026

Universal sampling of spin systems across quenched disorder

Statistical physics extracts macroscopic laws by averaging over the many microscopic degrees of freedom of a system. Disordered systems demand a second and far harder average, one over the quenched randomness itself. The classic analytical routes, the replica and cavity methods, become uncontrolled outside mean-field o...

Jing Liu, Ye-Yuan Wu, Ying Tang et al. · 0 citations
Preprint Aug 2026

Nonequilibrium Dynamics of Simple Exclusion Processes Across Dimensions

The simple exclusion process (SEP) is a paradigmatic model for nonequilibrium transport, yet its rich dynamics over an exponentially large configuration space remain notoriously intractable. Here, we leverage variational autoregressive networks to characterize the nonequilibrium dynamics of the symmetric (SSEP), asymme...

Zhi-Mao Liu, Jing Liu, Pandeng Zhang et al. · 1 citation
Preprint Aug 2026

Characterizing Full Nonequilibrium Dynamics of Simple Exclusion Processes

The simple exclusion process (SEP) is a paradigmatic model for nonequilibrium transport, yet the rich dynamics of its time-dependent joint distribution over an exponentially large configuration space remain notoriously intractable. Here, we leverage variational autoregressive networks to systematically characterize the...

Zhi-Mao Liu, Jing Liu, Pandeng Zhang et al. · 1 citation

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