Electrostatic approximation of source-to-target mean first-passage times on networks
Description
We show that the distance dependence of the source-to-target mean-first-passage time (MFPT) on a finite network with M links is approximately given by 2M times the target-to-shell resistance. For networks on which a random walker is transient the long-range MFPT is well approximated by the site-dependent resistance from the target to infinity. The result extends a recent scaling result for the MFPT to site-inhomogeneous lattices where the MFPT depends on the location of the source and targets and can be highly source-target asymmetric.
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| ID Code: | 235874 | ||
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| Item Type: | Contribution to Journal (Journal Article) | ||
| Refereed: | Yes | ||
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| DOI: | 10.1103/PhysRevE.83.031113 | ||
| ISSN: | 1539-3755 | ||
| Pure ID: | 116891076 | ||
| Divisions: | Current > QUT Faculties and Divisions > Faculty of Science Current > Schools > School of Mathematical Sciences |
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| Copyright Owner: | Consult author(s) regarding copyright matters | ||
| Copyright Statement: | This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au | ||
| Deposited On: | 28 Oct 2022 02:55 | ||
| Last Modified: | 01 Mar 2024 21:56 |
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