Olmsted P.DCHUN-YI,DAVID LUCHUN-YI2022-12-142022-12-1419971063651Xhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-0001999167&doi=10.1103%2fphysreve.56.r55&partnerID=40&md5=946375aa8098f75feaf134de6a4006cfhttps://scholars.lib.ntu.edu.tw/handle/123456789/626230We demonstrate how to construct dynamic phase diagrams for complex fluids that undergo transitions under flow, in which the conserved composition variable and the broken-symmetry order parameter (nematic, smectic, crystalline, etc.) are coupled to shear rate. Our construction relies on a selection criterion, the existence of a steady interface connecting two stable homogeneous states. We use the (generalized) Doi model of lyotropic nematic liquid crystals as a model system, but the method can be easily applied to other systems, provided nonlocal effects are included.journal article10.1103/physreve.56.r552-s2.0-0001999167