title: Spatiotemporal chaos: the microscopic perspective.
abstract: Extended nonequilibrium systems can be studied in the framework of field theory or from the 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.
authors.affiliation: Laboratoire de Physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France.
authors.forename: Nicolas B
authors.initials: NB
authors.lastname: Garnier
authors.forename: Daniel K
authors.initials: DK
authors.lastname: Wójcik