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Our stress relaxation measurements on wormlike micelles using a Rheo-SALS(rheology + small angle light scattering) apparatus allow simultaneousmeasurements of the stress and the scattered depolarised intensity. The latteris sensitive to orientational ordering of the micelles. To determine thepresence of causal influences between the stress and the depolarised intensitytime series, we have used the technique of linear and nonlinear Grangercausality. We find there exists a feedback mechanism between the two timeseries and that the orientational order has a stronger causal effect on thestress than vice versa. We have also studied the phase space dynamics of thestress and the depolarised intensity time series using the recently developedtechnique of cross recurrence plots (CRPs). The presence of diagonal linestructures in the CRPs unambiguously proves that the two time series sharesimilar phase space dynamics.

Granger Causality and Cross Recurrence Plots in Rheochaos