2 results match your criteria: "associé au CNRS et aux Universités Pierre-et-Marie-Curie Paris 06 et Paris Diderot[Affiliation]"
Nonlinear optical Galton board: Thermalization and continuous limit.
Phys Rev E Stat Nonlin Soft Matter Phys
October 2015
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure / PSL Research University, associé au CNRS et aux Universités Pierre-et-Marie-Curie Paris 06 et Paris Diderot, and 24 Rue Lhomond, 75231 Paris, France.
The nonlinear optical Galton board (NLOGB), a quantum walk like (but nonlinear) discrete time quantum automaton, is shown to admit a complex evolution leading to long time thermalized states. The continuous limit of the Galton board is derived and shown to be a nonlinear Dirac equation (NLDE). The (Galerkin-truncated) NLDE evolution is shown to thermalize toward states qualitatively similar to those of the NLOGB.
View Article and Find Full Text PDFSelf-truncation and scaling in Euler-Voigt-α and related fluid models.
Phys Rev E Stat Nonlin Soft Matter Phys
July 2015
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure/PSL Research University, associé au CNRS et aux Universités Pierre-et-Marie-Curie Paris 06 et Paris Diderot, 24 Rue Lhomond, 75231 Paris, France.
A generalization of the 3D Euler-Voigt-α model is obtained by introducing derivatives of arbitrary order β (instead of 2) in the Helmholtz operator. The β→∞ limit is shown to correspond to Galerkin truncation of the Euler equation. Direct numerical simulations (DNS) of the model are performed with resolutions up to 2048(3) and Taylor-Green initial data.
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