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Phys. Rev. E 71, 015204(R) (2005) [4 pages]

Stability of flow- and diffusion-distributed structures to inlet noise effects

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Pavel V. Kuptsov*
Centre for Mathematical Science, City University, Northampton Square, London EC1V 0HB, United Kingdom

Razvan A. Satnoianu†
Faculty of Actuarial Science, Cass Business School, City University, London EC1Y 8TZ, United Kingdom

Received 26 July 2004; published 14 January 2005

Stationary flow- and diffusion-distributed structures (FDS) patterns appear in a reaction-diffusion-advection system when a constant forcing is applied at the inlet of the reactor. We show that if the forcing is subject to noise, the FDS can be destroyed via the noise-induced Hopf instability. However, the FDS patterns are restored if the flow rate is sufficiently high. We demonstrate that the critical flow rate which is required for the stabilization of FDS has a power-law dependence on the noise amplitude.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.015204
DOI:
10.1103/PhysRevE.71.015204
PACS:
82.40.Ck, 47.54.+r, 47.70.Fw, 82.20.−w

*Corresponding author. Permanent address: Department of Informatics, Saratov State Law Academy, Chernyshevskaya 104, Saratov 410056, Russia. Electronic address: kupav@mail.ru

†Electronic address: r.a.satnoianu@city.ac.uk

 
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