Hänggi-Klimontovich integral is shown to be less suitable than Itô or Stratonovich for modeling random dispersal of Langevin particles and relativistic Brownian motion.
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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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It\^o versus H\"anggi-Klimontovich
Hänggi-Klimontovich integral is shown to be less suitable than Itô or Stratonovich for modeling random dispersal of Langevin particles and relativistic Brownian motion.
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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.