Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/127333
Title: | Telegraphic processes with stochastic resettings |
Author: | Masoliver, Jaume, 1951- |
Keywords: | Física estadística Equacions diferencials lineals Statistical physics Linear differential equations |
Issue Date: | 14-Jan-2019 |
Publisher: | American Physical Society |
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. |
Note: | Reproducció del document publicat a: https://doi.org/10.1103/PhysRevE.99.012121 |
It is part of: | Physical Review E, 2019, vol. 99, num. 012121, p. 012121-1-012121-12 |
URI: | http://hdl.handle.net/2445/127333 |
Related resource: | https://doi.org/10.1103/PhysRevE.99.012121 |
ISSN: | 1539-3755 |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
Files in This Item:
File | Description | Size | Format | |
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684309.pdf | 1.33 MB | Adobe PDF | View/Open |
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