title: Dynamics of gelling liquids: algebraic relaxation.
abstract: The sol-gel system which is known, experimentally, to exhibit a power law decay of stress autocorrelation function has been studied theoretically. A second-order nonlinear differential equation obtained from Mori's integro-differential equation is derived which provides the algebraic decay of a time correlation function. Involved parameters in the expression obtained are related to exact properties of the corresponding correlation function. The algebraic model has been applied to Lennard-Jones and sol-gel systems. The model shows the behaviour of viscosity as has been observed in computer simulation and theoretical studies. The expression obtained for the viscosity predicts a logarithmic divergence at a critical value of the parameter in agreement with the prediction of other theories.
authors.affiliation: Department of Physics, Panjab University, Chandigarh 160014, India.
authors.forename: Sunita
authors.initials: S
authors.lastname: Srivastava
authors.forename: C N
authors.initials: CN
authors.lastname: Kumar
authors.forename: K
authors.initials: K
authors.lastname: Tankeshwar