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Scaling crossover of the generalized Jeffreys-type law
Fugui Ma
https://arxiv.org/abs/2510.07930 https://arxiv.org/pdf/2510.07930

Scaling crossover of the generalized Jeffreys-type law
The generalized Jeffreys-type law is formulated as a multi-term time-fractional Jeffreys-type equation, whose dynamics exhibit rich scaling crossover phenomena entailing different diffusion mechanisms. In this work, we provide a novel physical explanation for the equation from first principles, beginning with a microscopic description based on the continuous-time random walk framework with a generalized waiting time distribution and further deriving the equation from an overdamped Langevin equa…

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