Fractional heterogeneous telegraph processes: Interplay between heterogeneity, memory, and stochastic resetting
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Published:2024-08-02
Issue:2
Volume:110
Page:
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ISSN:2470-0045
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Container-title:Physical Review E
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language:en
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Short-container-title:Phys. Rev. E
Author:
Sandev Trifce12ORCID,
Iomin Alexander34ORCID
Affiliation:
1. Macedonian Academy of Sciences and Arts
2. Ss. Cyril and Methodius University
3. Technion
4. Max Planck Institute for the Physics of Complex Systems
Abstract
Fractional heterogeneous telegraph processes are considered in the framework of telegrapher's equations accompanied by memory effects. The integral decomposition method is developed for the rigorous treating of the problem. Exact solutions for the probability density functions and the mean squared displacements are obtained. A relation between the fractional heterogeneous telegrapher's equation and the corresponding Langevin equation has been established in the framework of the developed subordination approach. The telegraph process in the presence of stochastic resetting has been studied, as well. An exact expression for both the nonequilibrium stationary distributions/states and the mean squared displacements are obtained.
Published by the American Physical Society
2024
Funder
Deutsche Forschungsgemeinschaft
Alliance of International Science Organizations
Alexander von Humboldt-Stiftung
Lorentz Center
MPIPKS, Dresden
Publisher
American Physical Society (APS)