Document - Anomalous diffusion originated by two Markovian hopping-trap mechanisms

2022

Journal article Open Access

Anomalous diffusion originated by two Markovian hopping-trap mechanisms

Vitali S., Paradisi P., Pagnini G.

Continuous-time random walk Modeling and Simulation Mathematical Physics Anomalous diffusion Condensed Matter - Soft Condensed Matter Soft Condensed Matter (cond-mat.soft) Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences General Physics and Astronomy Fractional diffusion Statistical and Nonlinear Physics Condensed Matter - Statistical Mechanics Statistics and Probability

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.

Source: Journal of physics. A, Mathematical and theoretical (Print) 55 (2022). doi:10.1088/1751-8121/ac677f

Publisher: IOP Publishing,, Bristol , Regno Unito

Metrics

Back to previous page

Cite as

BibTeX entry

@article{oai:it.cnr:prodotti:472264,
	title = {Anomalous diffusion originated by two Markovian hopping-trap mechanisms},
	author = {Vitali S. and Paradisi P. and Pagnini G.},
	publisher = {IOP Publishing,, Bristol , Regno Unito},
	doi = {10.1088/1751-8121/ac677f and 10.48550/arxiv.2204.06276},
	journal = {Journal of physics. A, Mathematical and theoretical (Print)},
	volume = {55},
	year = {2022}
}