title: Shear thinning of a critical viscoelastic fluid.
abstract: The frequency and shear dependent critical viscosity at a correlation length xi= kappa(-1) has the form eta= eta(0) kappa(- x(eta) ) G ( z(1) , z(2) ) , where z(1) and z(2) are the independent dimensionless numbers in the problem defined as z(1) =-iomega/2 Gamma(0) kappa(3) and z(2) =-iomega/2 Gamma(0) kappa(3)(c) . The decay rate of critical fluctuations of correlation length kappa(-1) is Gamma(0) kappa(3) and k(c) is the effective wave number for which Gamma(0) k(3)(c) =S , the shear rate. The function G ( z(1) , z(2) ) is calculated in a one-loop self-consistent theory.
authors.affiliation: Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
authors.forename: Palash
authors.initials: P
authors.lastname: Das
authors.forename: Jayanta K
authors.initials: JK
authors.lastname: Bhattacharjee