Routes to spatiotemporal chaos in the rheology of nematogenic fluids

Das, Moumita ; Chakrabarti, Buddhapriya ; Dasgupta, Chandan ; Ramaswamy, Sriram ; Sood, A. K. (2005) Routes to spatiotemporal chaos in the rheology of nematogenic fluids Physical Review E, 71 (2). 021707_1-021707_11. ISSN 1063-651X

PDF - Publisher Version

Official URL:

Related URL:


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. Chate 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.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:22772
Deposited On:24 Nov 2010 08:15
Last Modified:17 May 2016 06:44

Repository Staff Only: item control page