Alternating diffusivity with power-law sojourns yields stretched-exponential short-time relaxation and power-law long-time decay with exponential cutoff, consistent with simulations.
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Fluctuating diffusivity in a Langevin framework produces an observation-time-induced crossover in effective diffusion coefficient whose temperature location shifts systematically with measurement duration.
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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Brownian motion with alternately fluctuating diffusivity: Stretched-exponential and power-law relaxation
Alternating diffusivity with power-law sojourns yields stretched-exponential short-time relaxation and power-law long-time decay with exponential cutoff, consistent with simulations.
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Observation-Time-Induced Crossover from Fluctuating Diffusivity
Fluctuating diffusivity in a Langevin framework produces an observation-time-induced crossover in effective diffusion coefficient whose temperature location shifts systematically with measurement duration.
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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.