A phase diagram for the diatomic hard-point gas identifies kinetic, intermediate Bogoliubov, and hydrodynamic regimes of thermalization, with consistent heat transport behavior that depends on the order of thermodynamic limits.
Kubo, The fluctuation-dissipation theorem, Rep
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This review synthesizes how the Langevin equation with fluctuating diffusivity captures Brownian yet non-Gaussian diffusion, anomalous diffusion, ageing, and weak ergodicity breaking.
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From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
A phase diagram for the diatomic hard-point gas identifies kinetic, intermediate Bogoliubov, and hydrodynamic regimes of thermalization, with consistent heat transport behavior that depends on the order of thermodynamic limits.
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Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
This review synthesizes how the Langevin equation with fluctuating diffusivity captures Brownian yet non-Gaussian diffusion, anomalous diffusion, ageing, and weak ergodicity breaking.