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Journal Articles Physical Review Letters Year : 2006

Spatiotemporal chaos: the microscopic perspective

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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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Dates and versions

ensl-00657785 , version 1 (09-01-2012)

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Nicolas Garnier, Daniel K Wójcik. Spatiotemporal chaos: the microscopic perspective. Physical Review Letters, 2006, 96, pp.114101. ⟨10.1103/PhysRevLett.96.114101⟩. ⟨ensl-00657785⟩
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