Active nematodynamics on deformable surfaces

Abstract

We consider active nematodynamics on deformable surfaces. Based on a thermodynamically consistent surface Beris-Edwards model we add nematic activity and focus on the emerging additional coupling mechanism between the nematic field, the flow field and the curved surface. We analyse the impact of the active nematic force at topological defects. Under the presence of curvature all defects become active and contribute not only tangential forces but also normal forces. This confirms the proposed role of topological defects in surface evolution and provides the basis for a dynamic description of morphogenetic processes.