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Emergent structures in reaction-advection-diffusion systems on a sphere

Abstract:

We demonstrate novel effects due to the addition of advection into a two-species reaction-diffusion system on the sphere. We find that advection introduces emergent behavior due to an interplay of the traditional Turing patterning mechanisms with the compact geometry of the sphere. Unidirectional advection within the Turing space of the reaction-diffusion system causes patterns to be generated at one point of the sphere, and transported to the antipodal point where they are destroyed. We illu...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1103/PhysRevE.97.042215

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review E Journal website
Volume:
97
Pages:
042215
Publication date:
2018-04-23
Acceptance date:
2018-04-11
DOI:
EISSN:
1550-2376
ISSN:
1539-3755
Pubs id:
pubs:843412
URN:
uri:fd570c26-f3f3-4d29-8af5-17c173072536
UUID:
uuid:fd570c26-f3f3-4d29-8af5-17c173072536
Local pid:
pubs:843412

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