2004/08/31 by Moumita Das, Buddhapriya Chakrabarti, Chandan Dasgupta +4
Chemical Engineering · Computer Science · Materials Science · Physics and Astronomy · #Liquid Crystal Research Advancements #Nonlinear Dynamics and Pattern Formation #Rheology and Fluid Dynamics Studies #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.71.021707
12 two-column pages, 14 figures. Minor changes in text, two new figures added. To appear in Phys. Rev. E., Vol. 71, Issue 1
arxiv created 2005/01/08 · openalex publication_date 2005/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 in which one can observe the intriguing behaviors discussed here.