2005/01/31 by M Fuchs, Matthias Fuchs, Michael E. Cates +1 · 5 citations
Chemistry · Environmental Science · Materials Science · Physics and Astronomy · #Coagulation and Flocculation Studies #Electrostatics and Colloid Interactions #Material Dynamics and Properties #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1088/0953-8984/17/20/003
17 pages, Submitted to J. Phys.: Condens. Matter; revised version with minor corrections
arxiv created 2005/03/15 · openalex publication_date 2005/05/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Starting from the microscopic Smoluchowski equation for interacting Brownian particles under stationary shearing, exact expressions for shear-dependent steady-state averages, correlation and structure functions, and susceptibilities are obtained, which take the form of generalized Green–Kubo relations. They require integration of transient dynamics. Equations of motion with memory effects for transient density fluctuation functions are derived from the same microscopic starting point. We argue that the derived formal expressions provide useful starting points for approximations in order to describe the stationary non-equilibrium state of steadily sheared dense colloidal dispersions.