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Critical time scales for advection-diffusion-reaction processes.

Abstract:

The concept of local accumulation time (LAT) was introduced by Berezhkovskii and co-workers to give a finite measure of the time required for the transient solution of a reaction-diffusion equation to approach the steady-state solution [A. M. Berezhkovskii, C. Sample, and S. Y. Shvartsman, Biophys. J. 99, L59 (2010); A. M. Berezhkovskii, C. Sample, and S. Y. Shvartsman, Phys. Rev. E 83, 051906 (2011)]. Such a measure is referred to as a critical time. Here, we show that LAT is, in fact, ident...

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Publication status:
Published

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Publisher copy:
10.1103/PhysRevE.85.041135

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Physical review. E, Statistical, nonlinear, and soft matter physics
Volume:
85
Issue:
4 Pt 1
Pages:
041135
Publication date:
2012-04-23
DOI:
EISSN:
1550-2376
ISSN:
1539-3755
Source identifiers:
333637
Language:
English
Keywords:
Pubs id:
pubs:333637
UUID:
uuid:8c49c1b4-ee47-4340-858b-323be3f7dbcd
Local pid:
pubs:333637
Deposit date:
2013-11-16

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