Integration through transients for Brownian particles under steady shear

Details Integration through transients for Brownian particles under steady shear Integration through transients for Brownian particles under steady shear

2005-01-24

arxiv.org/abs/cond-mat/0501563v2

Physics

Condensed Matter

Soft Condensed Matter

17 pages, Submitted to J. Phys.: Condens. Matter; revised version with minor corrections

Scientific paper

10.1088/0953-8984/17/20/003

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.

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