Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field
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...
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| Format: | Article |
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MDPI AG
2021-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/6/781 |
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| author | Gerardo Aquino Kristopher J. Chandía Mauro Bologna |
| author_facet | Gerardo Aquino Kristopher J. Chandía Mauro Bologna |
| author_sort | Gerardo Aquino |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T10:15:53Z |
| format | Article |
| id | doaj.art-bca7742f3491435fae7e3a675e6cd9f5 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T10:15:53Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-bca7742f3491435fae7e3a675e6cd9f52023-11-22T00:51:50ZengMDPI AGEntropy1099-43002021-06-0123678110.3390/e23060781Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic FieldGerardo Aquino0Kristopher J. Chandía1Mauro Bologna2Department of Computing, Goldsmiths, University of London, London WC1E 7HU, UKDepartamento de Ingeniería Eléctrica-Electrónica, Universidad de Tarapacá, Arica 1000000, ChileDepartamento de Ingeniería Eléctrica-Electrónica, Universidad de Tarapacá, Arica 1000000, ChileIn 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.https://www.mdpi.com/1099-4300/23/6/781fluctuating magnetic fieldnon-possonian processesnon-ergodic fluctuations |
| spellingShingle | Gerardo Aquino Kristopher J. Chandía Mauro Bologna Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field Entropy fluctuating magnetic field non-possonian processes non-ergodic fluctuations |
| title | Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field |
| title_full | Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field |
| title_fullStr | Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field |
| title_full_unstemmed | Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field |
| title_short | Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field |
| title_sort | effect of ergodic and non ergodic fluctuations on a charge diffusing in a stochastic magnetic field |
| topic | fluctuating magnetic field non-possonian processes non-ergodic fluctuations |
| url | https://www.mdpi.com/1099-4300/23/6/781 |
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