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2019-01-14

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/127333

Telegraphic processes with stochastic resettings

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https://doi.org/10.1103/PhysRevE.99.012121

Abstract

We investigate the effects of resetting mechanisms on random processes that follow the telegrapher's equation instead of the usual diffusion equation. We thus study the consequences of a finite speed of signal propagation, the landmark of telegraphic processes. Likewise diffusion processes where signal propagation is instantaneous, we show that in telegraphic processes, where signal propagation is not instantaneous, random resettings also stabilize the random walk around the resetting position and optimize the mean first-arrival time. We also obtain the exact evolution equations for the probability density of the combined process and study the limiting cases.

Subject

Física estadística, Equacions diferencials lineals

Subject (English)

Statistical physics, Linear differential equations

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

MASOLIVER, Jaume. Telegraphic processes with stochastic resettings. Physical Review E. 2019. Vol. 99, num. 012121, pags. 012121-1-012121-12. ISSN 1539-3755. [consulted: 17 of August of 2026]. Available at: https://hdl.handle.net/2445/127333

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