Journal article
Fractional diffusion equation for an n-dimensional correlated Levy walk
- Abstract:
- Lévy walks define a fundamental concept in random walk theory that allows one to model diffusive spreading faster than Brownian motion. They have many applications across different disciplines. However, so far the derivation of a diffusion equation for an n-dimensional correlated Lévy walk remained elusive. Starting from a fractional Klein-Kramers equation here we use a moment method combined with a Cattaneo approximation to derive a fractional diffusion equation for superdiffusive short-range auto-correlated Lévy walks in the large time limit, and we solve it. Our derivation discloses different dynamical mechanisms leading to correlated Lévy walk diffusion in terms of quantities that can be measured experimentally.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
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(Preview, Accepted manuscript, pdf, 367.7KB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevE.94.012104
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review. E More from this journal
- Volume:
- 94
- Issue:
- 1
- Pages:
- 1-10
- Publication date:
- 2016-07-06
- Acceptance date:
- 2016-06-08
- DOI:
- EISSN:
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2470-0053
- ISSN:
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2470-0045
- Pmid:
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27575074
- Language:
-
English
- Keywords:
- Pubs id:
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pubs:635313
- UUID:
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uuid:17034dc2-c92e-44c5-a8bf-07606a7e1c11
- Local pid:
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pubs:635313
- Source identifiers:
-
635313
- Deposit date:
-
2016-10-05
Terms of use
- Copyright holder:
- © 2016 American Physical Society
- Copyright date:
- 2016
- Notes:
- ©2016 American Physical Society. This is the accepted version of the manuscript following peer review of the article. The final version is available online from American Physical Society at: 10.1103/PhysRevE.94.012104
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