Work

First-passage times for generalized heterogeneous telegrapher's processes

Year: 2025

Type: article

Abstract: We consider two different fractional generalizations of the heterogeneous telegrapher's process with and without stochastic resetting. Both governing fractional heterogeneous telegrapher's equations can be obtained from the corresponding standard heterogeneous telegrapher's equations by using the subordination approach. The first-passage time problems are solved analytically for both models by finding the survival probabilities, the first-passage time densities, and the mean first-passage times. We showed that for both cases there are optimal resetting rates for which the mean first-passage times are minimal. The present work carries implications toward our understanding of anomalous diffusion and random search in heterogeneous media.

Source: Physical review. E

DOI: 10.1103/physreve.111.044105

Authors: T. Sandev, R. K. Singh, V. Méndez, L. Kocarev

Institutions: Macedonian Academy of Sciences and Arts, Korea University, Ss. Cyril and Methodius University in Skopje, Ben-Gurion University of the Negev, Universitat Autònoma de Barcelona

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft, Ministerio de Ciencia e Innovación, Alliance of International Science Organizations

Awards: G296838376, G4064248329, G4668709761, G8431786907