Riaz, S. S. ; Dutta, S. ; Kar, S. ; Ray, D. S. (2005) Pattern formation induced by additive noise: a moment-based analysis European Physical Journal B (EPJB), 47 (2). pp. 255-263. ISSN 1434-6028
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Official URL: http://www.springerlink.com/content/y0p70w2g585w0k...
Related URL: http://dx.doi.org/10.1140/epjb/e2005-00314-1
Abstract
We analyze the condition for instability and pattern formation induced by additive noise in spatially extended systems. The approach is based on consideration of higher moments which extract out nonlinearities of appropriate order. Our analysis reveals that cubic nonlinearity plays a crucial role for the additive noise to a leading order that determines the instability threshold which is corroborated by numerical simulation in two specific reaction-diffusion systems.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| ID Code: | 59119 |
| Deposited On: | 03 Sep 2011 12:02 |
| Last Modified: | 03 Sep 2011 12:02 |
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