Sep 17 – 21, 2022
Faculty of Physics, Astronomy and Applied Computer Science; Jagiellonian University
Europe/Warsaw timezone
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Anomalous diffusion originated by two Markovian hopping-trap mechanisms

Sep 21, 2022, 12:20 PM
25m
Faculty of Physics, Astronomy and Applied Computer Science; Jagiellonian University

Faculty of Physics, Astronomy and Applied Computer Science; Jagiellonian University

Łojasiewicza 11, 30-348 Kraków, Poland
Regular talk Wednesday session

Speaker

Gianni Pagnini (BCAM - Basque Center for Applied Mathematics)

Description

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 β ∈ (0, 1) results to be β ≃ 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.

The talk is based on: Vitali S., Paradisi P. and Pagnini G., J. Phys. A: Math. Theor. 55 (2022) 224012

Primary authors

Gianni Pagnini (BCAM - Basque Center for Applied Mathematics) Dr Silvia Vitali (BCAM-Basque Center for Applied Mathematics) Dr Paolo Paradisi (ISTI-CNR, Institute of Information Science and Technologies ‘A. Faedo’)

Presentation materials

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