Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.70: Poster

Monday, March 7, 2005, 15:30–18:00, Poster TU D

Pattern formation and regularized phase equation — •Nicole Rinke and Rudolf Friedrich — Institut für Theoretische Physik, Wesftälische Wilhelms-Universität, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany

The phase equation of Cross and Newell [1] is used to study long wavelength instabilities in pattern forming systems like Rayleigh Bénard convection. Recently, a regularized version of this equation has been considered by Ercolani and Newell [2], which also allows the description of defects. We shall present results of a numerical investigation of these equations and discuss possible implications for a geometric description of patterns in nonequilibrium systems. [1] M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys., Vol. 65, No.3 (1993) [2] N.M. Ercolani, R. Indik, A.C. Newell and T. Passot, J. Nonlinear Sci. Vol.10 (2000)