Observation of Chaotic Dynamics in Dilute Sheared Aqueous Solutions of CTAT
Ranjini Bandyopadhyay, Geetha Basappa, A. K. Sood
TL;DR
This study reveals that dilute aqueous solutions of CTAT exhibit chaotic dynamics under certain shear conditions, characterized by strange attractors and positive Lyapunov exponents, indicating complex nonlinear behavior.
Contribution
It provides experimental evidence of chaos in the nonlinear flow of CTAT solutions, linking rheological behavior to dynamical systems theory.
Findings
Presence of finite correlation dimension
Positive Lyapunov exponent observed
Chaotic behavior increases with shear rate
Abstract
The nonlinear flow behaviour of a viscoelastic gel formed due to entangled, cylindrical micelles in aqueous solutions of the surfactant CTAT has been studied. On subjecting the system to a step shear rate lying above a certain value, the shear and normal stresses show interesting time dependent behaviour. The analysis of the measured time series shows the existence of a finite correlation dimension and a positive Lyapunov exponent, unambiguously implying that the dynamics can be described by that of a dynamical system with a strange attractor whose dimension increases with the increase in shear rate.
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