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DY: Fachverband Dynamik und Statistische Physik
DY 28: Pattern Formation and Reaction-Diffusion Systems
DY 28.3: Vortrag
Dienstag, 17. März 2020, 10:30–10:45, ZEU 147
Phase separation and time-periodic behaviour in coupled Cahn-Hilliard models — •Tobias Frohoff-Hülsmann1, Jana Wrembel1, and Uwe Thiele1,2 — 1Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster — 2Center of Nonlinear Science (CeNoS), Westfälische Wilhelms-Universität Münster, Corrensstr. 2, 48149 Münster
The Cahn-Hilliard equation is the paradigmatic mean-field model describing phase separation in a system characterized by a single order parameter field, e.g., the concentration for binary alloys. Decreasing the underlying free energy while preserving the total mass, this equation corresponds to a conserved gradient dynamics. Two coupled Cahn-Hilliard equations are able to represent ternary systems with two conserved quantities and are the subject of our study. Using coupling terms that either preserve or break the gradient structure, we investigate how the coupling alters the system behaviour. Employing numerical path continuation we present the fully nonlinear bifurcation behaviour and trace the transitions from the uncoupled equations to the coupled model of gradient dynamics form and further to the coupled model without overall gradient dynamics form. Selected results are illustrated by exemplary time simulations.