^. Such processes yield anomalous diffusion and weak ergodicity breaking, the asymptotic disparity between ensemble and time averaged observables, for instance the mean-squared displacement. Fractional Brownian motion (FBM) using its long-range correlated yet Gaussian increments provides rise to anomalous and ergodic diffusion. Right here, we study a combined model of HDPs and FBM to describe the particle dynamics in complex systems with position-dependent diffusivity driven by fractional Gaussian sound.
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