Fluctuation Viscosity of a Solution of Wormlike Micelles

Kats E.I., Lebedev V.V., Muratov A.R.

**Dynamic fluctuation phenomena in a volution of wormlike micelles are investigated. The anomalous fluctuation contribution to viscosity coefficients ***η**^ι ***is calculated. This contribution is determined by nonlinear interaction of hydrodynamic modes with bending mode, describing the relaxation of the shape of micelles. At high frequencies ***r**\f\ ***behaves as w**^{-1}/^{4}. In the low-frequency limit rj/j does not depend on frequency and is of the order of *(tp/Qn (i ***is the average distance between crosslinks of the micelles, f**_{p} is the persistent length, *t) ***is the viscosity of the pure solvent). Therefore in the case > £ the value of tyj exceeds the bare viscosity «I·**