Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field

Aquino, Gerardo; Chandía, Kristopher J. and Bologna, Mauro. 2021. Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field. Entropy, 23(6), 781. ISSN 1099-4300 [Article]

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Abstract or Description

In this paper, we study the basic problem of a charged particle in a stochastic magnetic field. We consider dichotomous fluctuations of the magnetic field where the sojourn time in one of the two states are distributed according to a given waiting-time distribution either with Poisson or non-Poisson statistics, including as well the case of distributions with diverging mean time between changes of the field, corresponding to an ergodicity breaking condition. We provide analytical and numerical results for all cases evaluating the average and the second moment of the position and velocity of the particle. We show that the field fluctuations induce diffusion of the charge with either normal or anomalous properties, depending on the statistics of the fluctuations, with distinct regimes from those observed, e.g., in standard Continuous-Time Random Walk models.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.3390/e23060781

Keywords:

fluctuating magnetic field; non-possonian processes; non-ergodic fluctuations

Departments, Centres and Research Units:

Computing

Dates:

DateEvent
17 June 2021Accepted
19 June 2021Published

Item ID:

30316

Date Deposited:

13 Jul 2021 09:14

Last Modified:

03 Aug 2021 15:03

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

https://research.gold.ac.uk/id/eprint/30316

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