Slippage of linear flows of entangled polymers on surfaces

Using the microscopic boundary layer model [W. Sung, in Slow Dynamics in Condensed Matter, edited by K. Kawasaki, M. Tokuyama, and T. Kawakatsu, AIP Conf. Proc. No. 256 (AIP, New York, 1992) and W. Sung and Min Gyu Lee, Phys. Rev. E 51, 5855 (1995)], I show that there exists an appreciable slippage of entangled polymers on a surface, under linear flow, even with a sizable amount of chains anchored on it. I find the critical anchorage above which the slip to no-slip transition occurs. I discuss the similarities and differences between my results and those of de Gennes and co-workers [C.R. Acad. Sci. (Paris) B 288, 219 (1979); 314, 873 (1992); Langmuir 8, 3033 (1992)].