Work

Hitting and trapping times on branched structures

Year: 2015

Type: article

Abstract: In this work we consider a simple random walk embedded in a generic branched structure and we find a close-form formula to calculate the hitting time H(i,f) between two arbitrary nodes i and j. We then use this formula to obtain the set of hitting times {H(i,f)} for combs and their expectation values, namely, the mean first-passage time, where the average is performed over the initial node while the final node f is given, and the global mean first-passage time, where the average is performed over both the initial and the final node. Finally, we discuss applications in the context of reaction-diffusion problems.

Source: Physical Review E

DOI: 10.1103/physreve.91.052132

Authors: Elena Agliari, Fabio Sartori, Luca Cattivelli, Davide Cassi

Institutions: Università Campus Bio-Medico, Sapienza University of Rome, University of Parma, Scuola Normale Superiore

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Sapienza Università di Roma, Gruppo Nazionale per la Fisica Matematica

Award: G1778027595