Deterministic chaos vs stochastic noise in extended dynamical systems

Conference · Sat Dec 31 00:00:00 EST 1994

OSTI ID:102986

Jayaprakash, C; Hayot, F ^[1]

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1. Ohio State Univ., Columbus, OH (United States)

We have studied the extent to which deterministic chaotic fluctuations in extended dynamical systems are equivalent at long wave-lengths to those produced by external (stochastic) noise. (i) We have shown that in noiseless conserving chaotic systems the chaotic fluctuations simulate the effect of external noise and so produce algebraic correlations. (ii) We have shown by an explicit, numerical, coarse-graining procedure that the long-wavelength properties of the (deterministic) Kuramoto-Sivashinsky equation in d = 1 and d = 2 spatial dimensions are described by an effective stochastic, partial differential equation of the Kardar-Parisi-Zhang type.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• DOE Contract Number: FG02-88ER13916
• OSTI ID: 102986
• Report Number(s): CONF-9404137-; ON: DE94017694; TRN: 95:003483-0004
• Resource Relation: Conference: 12. symposium on energy engineering sciences, Argonne, IL (United States), 27-29 Apr 1994; Other Information: PBD: [1994]; Related Information: Is Part Of Proceedings of the Twelfth Symposium on Energy Engineering Sciences: Fluid/thermal systems and dynamics; PB: 298 p.
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
66 PHYSICS
FLUIDS
FLUCTUATIONS
STOCHASTIC PROCESSES
NOISE