Spatiotemporal chaos: the microscopic perspective

Details Spatiotemporal chaos: the microscopic perspective Spatiotemporal chaos: the microscopic perspective

2012-01-10

arxiv.org/abs/1201.2153v1

Physical Review Letters, 96 (2006) 114101

Physics

Condensed Matter

Statistical Mechanics

PACS numbers: 05.45.Jn

Scientific paper

10.1103/PhysRevLett.96.114101

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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