An effective stochastic theory of spatiotemporal chaos

Chow, Carson C.
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p349
Academic Journal
Spatiotemporal chaos (STC) exhibited by the Kuramoto-Sivashinsky (KS) equation is investigated analytically and numerically. An effective stochastic equation belonging to the Kardar-Parisi-Zhang (KPZ) universality class is constructed by incorporating the chaotic dynamics of the small KS system in a coarse-graining procedure. The bare parameters of the effective theory are computed approximately. Stability of the system is shown to be mediated by space-time defects that are accompanied by stochasticity. The method of analysis and the mechanism of stability may be relevant to a class of STC problems. © 2000 American Institute of Physics.


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