Suppression of coarsening and emergence of oscillatory behavior in a Cahn-Hilliard model with nonvariational coupling

We investigate a generic two-field Cahn-Hilliard model with variational and nonvariational coupling. It describes, for instance, passive active ternary mixtures, respectively. Already linear stability analysis of the homogeneous mixed state shows that activity not only allows usual large-scale stationary (Cahn-Hilliard) instability well known case but also small-scale (Turing) oscillatory (Hopf) instabilities. In consequence Turing instability, may completely suppress coarsening dynamics. fully nonlinear we first briefly discuss before focusing on case. Bifurcation diagrams selected direct time simulations are presented allow us to establish coupling (i) can partially or (ii) lead emergence drifting states. Throughout, emphasize relevance conservation laws related symmetries encountered intricate bifurcation behavior.