A diffusing diffusivity model driven by dichotomous noise yields analytical short-time PDFs with logarithmic origin divergence and switching-rate-dependent power-law modulated Gaussian tails, converging to ordinary Gaussian diffusion at long times with self-averaging time-averaged diffusivity.
Phys.23023014
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Diffusing diffusivity model with dichotomous noise
A diffusing diffusivity model driven by dichotomous noise yields analytical short-time PDFs with logarithmic origin divergence and switching-rate-dependent power-law modulated Gaussian tails, converging to ordinary Gaussian diffusion at long times with self-averaging time-averaged diffusivity.