Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations.

Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations. Research Abstract Details 

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Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations. Abstract Text:

Hazime Mori,Makoto Okamura,Hazime Mori,Makoto Okamura,

Using the projection operator formalism we explore the decay form of the time correlation function U_{n}(t) identical withu[over ]_{n}(t)u[over ]_{n};{ *}(0) of the state variable u[over ]_{n}(t) in the chaotic Kuramoto-Sivashinsky equation. The decay form turns out to be the algebraic decay 1[1+(gamma_{na}t);{2}] in the initial regime t<1gamma_{ne} and the exponential decay exp(-gamma_{ne}t) in the final regime t>1gamma_{ne} . The memory function Gamma_{n}(t) that represents the chaos-induced transport is found to obey the Gaussian decay exp[-(beta_{ng}t);{2}] in the case of large wave numbers, but the 3/2 power decay exp[-(beta_{n3}t);{32}] in the case of small wave numbers. The power spectrum of u[over ]_{n}(t) is given by the real part U_{n};{'}(omega) of the Fourier-Laplace transform of U_{n}(t) and has a dominant peak at omega=0 . This peak within the linewidth gamma[over ]_{ne}( approximately gamma_{ne}) is given by the Lorentzian spectrum gamma[over ]_{ne};{2}(omega;{2}+gamma[over ]_{ne};{2}) . However, the wings of the peak outside the width gamma[over ]_{ne} turn out to take the exponential spectrum exp(-omegagamma_{na}) . Thus it is found that the exponential decay exp(-gamma_{ne}t) appears to lead to the universal Lorentzian peak, while the algebraic decay 1[1+(gamma_{na}t);{2}] arises to bring about the exponential wing.

Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations. Publishing Authors By Initials

H Mori,M Okamura,H Mori,M Okamura,

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Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: Physical review. E, Statistical, nonlinear, and so

VOLUME: 76

Page Numbers: 061104

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ISSN: 1539-3755

DAY: 5

MONTH: 12

YEAR: 2007

Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations. Information

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LANGUAGE: eng

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Grant and Affiliation Information for Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations.

AFFILIATION: Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan.

Country: United States

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MEDLINETA: Phys Rev E Stat Nonlin Soft Ma

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