Continuum diffusion on networks: Trees with hyperbranched trunks and fractal branches
Description
The probability that a random walker returns to its origin for large times scales as t- d/2, where d̄ is the spectral dimension. We calculate d̄ for a class of tree structures using a renormalization technique on an infinite continued fraction. We consider a wide range of homogeneous networks based on replacing the branches of a self-similar tree with arbitrary fractals and composite fractals. We also consider a new class of inhomogeneous hyperbranched trees.
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| ID Code: | 235871 | ||
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| Item Type: | Contribution to Journal (Journal Article) | ||
| Refereed: | Yes | ||
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| DOI: | 10.1103/PhysRevE.79.031111 | ||
| ISSN: | 1539-3755 | ||
| Pure ID: | 116891271 | ||
| 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 02:54 | ||
| Last Modified: | 03 Mar 2024 08:26 |
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