Routes to spatiotemporal chaos in the rheology of nematogenic fluids
Moumita Das, Buddhapriya Chakrabarti, Chandan Dasgupta, Sriram Ramaswamy, A. K. Sood
Abstract
With a view to understanding the ``rheochaos'' observed in recent experiments in a variety of orientable fluids, we study numerically the equations of motion of the spatiotemporal evolution of the traceless symmetric order parameter of a sheared nematogenic fluid. In particular we establish, by decisive numerical tests, that the irregular oscillatory behavior seen in a region of parameter space where the nematic is not stably flow-aligning is in fact spatiotemporal chaos. We outline the dynamical phase diagram of the model and study the route to the chaotic state. We find that spatiotemporal chaos in this system sets in via a regime of spatiotemporal intermittency, with a power-law distribution of the widths of laminar regions, as in H. Chaté and P. Manneville, Phys. Rev. Lett. 58, 112 (1987). Further, the evolution of the histogram of band sizes shows a growing length-scale as one moves from the chaotic towards the flow aligned phase. Finally we suggest possible experiments which can observe the intriguing behaviors discussed here.
Create a lesson
Related papers
Curie-Weiss cell fluid model: Fitting to experimental critical-point data
I. V. Pylyuk, O. A. Dobush, M. P. Kozlovskii et al.
Ionic gradients shape the spatial organization and dynamics of supramolecular polymers
Claudio Perego, Annalisa Cardellini, Andrea Tagliabue et al.
Evolution of dense liquid marbles under light tapping
Amaelle Sprocq, Théo Dhoudain, Alexis Duchesne et al.
Meso-scale modeling of cohesive cavitation in polymer networks
Saleh Assadi, Zachary T. White, Fay Salmon et al.
Machine-learned topological transport of magnetic colloids
Sebastian Wohlrab, Aneena Rinu Perayil, Piotr Kuświk et al.
Skyrmion gears: translation-to-rotation conversion of skyrmion clusters along periodic substrates
N. P. Vizarim, C. J. O. Reichhardt, C. Reichhardt