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DY: Fachverband Dynamik und Statistische Physik

DY 37: Brownian Motion and Anomalous Diffusion

DY 37.8: Vortrag

Donnerstag, 20. März 2025, 16:45–17:00, H43

First-passage time for generalized telegrapher’s processes under stochastic resetting — •Trifce Sandev — Macedonian Academy of Sciences and Arts, Skopje, Macedonia — Ss. Cyril and Methodius University in Skopje, Macedonia — Korea University, Seoul, Korea

We consider different generalizations of the telegrapher’s process. One possible generalization is the so-called subordinated telegrapher’s process, which can be obtained from the standard telegrapher’s process subordinated by Lévy noise. Another possible generalization is a heterogeneous telegrapher’s process which is a stochastic process with a multiplicative dichotomic noise and a position-dependent velocity. For both cases we analyze the non-equilibrium stationary states approached in the long time limit, as well as the survival probability, the first-passage time density and the mean first-passage time in the presence of Poissonian stochastic resetting of the particle to the initial position.

1. T. Sandev, A Iomin, Phys. Rev. E 110, 024101 (2024)
2. K. Górska, F. J. Sevilla, G. Chacón-Acosta, T. Sandev, Entropy 26, 665 (2024)
3. P. Jolakoski, P. Trajanovski, A. Iomin, L. Kocarev, T. Sandev, sibmitted (2024)

Keywords: telegrapher's process; stochastic resetting; first passage time