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Several surfactant molecules self-assemble in solution to form long, flexiblewormlike micelles which get entangled with each other, leading to viscoelasticgel phases. We discuss our recent work on the rheology of such a gel formed inthe dilute aqueous solutions of a surfactant CTAT. In the linear rheologyregime, the storage modulus $G^{\prime}(\omega)$ and loss modulus$G^{\prime\prime}(\omega)$ have been measured over a wide frequency range. Inthe nonlinear regime, the shear stress $\sigma$ shows a plateau as a functionof the shear rate $\dot\gamma$ above a certain cutoff shear rate$\dot\gamma_c$. Under controlled shear rate conditions in the plateau regime,the shear stress and the first normal stress difference show oscillatorytime-dependence. The analysis of the measured time series of shear stress andnormal stress has been done using several methods incorporating state spacereconstruction by embedding of time delay vectors.The analysis shows theexistence of a finite correlation dimension and a positive Lyapunov exponent,unambiguously implying that the dynamics of the observed mechanical instabilitycan be described by that of a dynamical system with a strange attractor ofdimension varying from 2.4 to 2.9.Comment: 12 pages, includes 7 eps figure

Dynamical behavior in the nonlinear rheology of surfactant solutions