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arXiv · 1201.2153

Spatiotemporal chaos: the microscopic perspective

Nicolas Garnier·Daniel K Wójcik
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Abstract

Extended nonequilibrium systems can be studied in the framework of field theory or from dynamical systems perspective. Here we report numerical evidence that the sum of a well-defined number of instantaneous Lyapunov exponents for the complex Ginzburg-Landau equation is given by a simple function of the space average of the square of the macroscopic field. This relationship follows from an explicit formula for the time-dependent values of almost all the exponents.

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BibTeXRIS

Nicolas Garnier, Daniel K Wójcik. 2012-01-10. Spatiotemporal chaos: the microscopic perspective. https://doi.org/10.1103/physrevlett.96.114101

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