Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 83: Pattern Formation II

DY 83.6: Talk

Friday, March 16, 2018, 11:30–11:45, BH-N 333

Nikolaevskiy turbulence: Development and test of amplitude equations — •Steffen Richters-Finger and Stefan Jakob Linz — Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Germany

The Nikolaevskiy equation, originally introduced as a model for seismic waves [1], also appears in many different contexts ranging from instabilities of fronts over electroconvection to reaction-diffusion-systems and serves as a paradigmatic minimal model for the appearance of soft-mode turbulence in most parameter ranges. The known set of amplitude equations describing the chaotic dynamics close to the instability were originally derived by Matthews and Cox [2]. Using Lyapunov exponents, we present an alternative approach for identifying additional scales and test a practical method for the measurement of the qualitative deviation between the full system and its amplitude model.

[1] V. Nikolaevskii, Lecture Notes in Engineering 39, 210 (1989). [2] P. C. Matthews and S. M. Cox, Phys. Rev. E 62, R1473 (2000).