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 Publish in OALib Journal ISSN: 2333-9721 APC: Only $99  Views Downloads  Relative Articles Linear and nonlinear rheology of wormlike micelles Differential System''s Nonlinear Behaviour of Real Nonlinear Dynamical SystemsDifferential System＇s Nonlinear Behaviour of Real Nonlinear Dynamical Systems Effect of silica colloids on the rheology of viscoelastic gels formed by the surfactant cetyl trimethylammonium tosylate Nonlinear rheology of colloidal dispersions Periodic behaviour of nonlinear second order discrete dynamical systems Theory of nonlinear rheology and yielding of dense colloidal suspensions Effect of Screening of Intermicellar Interactions on the Linear and Nonlinear Rheology of a Viscoelastic Gel HOW BOXERS DECIDE TO PUNCH A TARGET: EMERGENT BEHAVIOUR IN NONLINEAR DYNAMICAL MOVEMENT SYSTEMS Nonlinear Rheology of Unentangled Polymer Melts Reinforced with High Concentration of Rigid Nanoparticles Dynamical thickening transition in plate coating with concentrated surfactant solutions More... Physics 2000 # Dynamical Behaviour in the Nonlinear Rheology of Surfactant Solutions  Full-Text Cite this paper Abstract: Several surfactant molecules self-assemble in solution to form long, flexible wormlike micelles which get entangled with each other, leading to viscoelastic gel phases. We discuss our recent work on the rheology of such a gel formed in the dilute aqueous solutions of a surfactant CTAT. In the linear rheology regime, the storage modulus$G^{\prime}(\omega)$and loss modulus$G^{\prime\prime}(\omega)$have been measured over a wide frequency range. In the nonlinear regime, the shear stress$\sigma$shows a plateau as a function of the shear rate$\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 oscillatory time-dependence. The analysis of the measured time series of shear stress and normal stress has been done using several methods incorporating state space reconstruction by embedding of time delay vectors.The analysis shows the existence of a finite correlation dimension and a positive Lyapunov exponent, unambiguously implying that the dynamics of the observed mechanical instability can be described by that of a dynamical system with a strange attractor of dimension varying from 2.4 to 2.9.

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