We show through intensive simulations that the paradigmatic features of anomalous diffusion are indeed the features of a (continuous-time) random walk driven by two different Markovian hopping-trap mechanisms. If p (0, 1/2) and 1 - p are the probabilities of occurrence of each Markovian mechanism, then the anomalousness parameter ? (0, 1) results to be ? ? 1 - 1/{1 + log[(1 - p)/p]}. Ensemble and single-particle observables of this model have been studied and they match the main characteristics of anomalous diffusion as they are typically measured in living systems. In particular, the celebrated transition of the walker's distribution from exponential to stretched-exponential and finally to Gaussian distribution is displayed by including also the Brownian yet non-Gaussian interval.

Anomalous diffusion originated by two Markovian hopping-trap mechanisms

Paradisi P;
2022

Abstract

We show through intensive simulations that the paradigmatic features of anomalous diffusion are indeed the features of a (continuous-time) random walk driven by two different Markovian hopping-trap mechanisms. If p (0, 1/2) and 1 - p are the probabilities of occurrence of each Markovian mechanism, then the anomalousness parameter ? (0, 1) results to be ? ? 1 - 1/{1 + log[(1 - p)/p]}. Ensemble and single-particle observables of this model have been studied and they match the main characteristics of anomalous diffusion as they are typically measured in living systems. In particular, the celebrated transition of the walker's distribution from exponential to stretched-exponential and finally to Gaussian distribution is displayed by including also the Brownian yet non-Gaussian interval.
2022
Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo" - ISTI
Anomalous diffusion
Fractional diffusion
Continuous-time random walk
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/446328
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