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• W2037334811 abstract "The dimensional contraction in small simulations of two-dimensional planar Couette flow is characterized by calculating the complete set of Lyapunov exponents. The Lyapunov dimension obtained by the Kaplan-Yorke relation is found to be a decreasing function of the strain rate. This implies that the nonequilibrium distribution function is nonzero on a fractal attractor whose dimension decreases with increasing strain rate. The Lyapunov spectrum depends upon density, and there appears to be no simple relation between the magnitude of the exponent and the exponent number. There is however, a close correspondence between the Lyapunov spectra for two-, four- and eight-particle systems at the same state point, which suggests that the qualitative features of these spectra are independent of system size." @default.
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• W2037334811 date "1989-01-01" @default.
• W2037334811 modified "2023-09-26" @default.
• W2037334811 title "Dimensional contraction in nonequilibrium systems" @default.
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• W2037334811 doi "https://doi.org/10.1016/0375-9601(89)90641-5" @default.
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