Spatiotemporal rheochaos in nematic hydrodynamics
arXiv:cond-mat/0311101 · doi:10.1103/PhysRevLett.92.055501
Abstract
Motivated by the observation of rheochaos in sheared wormlike micelles [Bandyopadhyay et al., Phys. Rev. Lett, 84 2022, (2000); Europhys. Lett. 56, 447 (2001); Pramana 53, 223 (1999)] we study the coupled nonlinear partial differential equations for the hydrodynamic velocity and order parameter fields in a sheared nematogenic fluid. In a suitable parameter range, we find irregular, dynamic shear-banding and establish by decisive numerical tests that the chaos we observe in the model is spatiotemporal in nature.
Slight changes in text, references and Fig. 5 inset; 6 eps figures (figs 2,3,4 at lower resolution to reduce file size; full files available on request); accepted for publication in Phys Rev Lett
References in corpus (9)
- Practical implementation of nonlinear time series methods: The TISEAN package
- Observation of Chaotic Dynamics in Dilute Sheared Aqueous Solutions of CTAT
- Coexistence and Phase Separation in Sheared Complex Fluids
- Chaotic Dynamics in Shear-thickening Surfactant Solutions
- Jamming, hysteresis and oscillation in scalar models for shear thickening
- Dynamical behavior of a complex fluid near an out-of-equilibrium transition: approaching simple rheological chaos
- Structure and Rheology of the Defect-gel States of Pure and Particle-dispersed Lyotropic Lamellar Phases
- Scaling and interleaving of sub-system Lyapunov exponents for spatio-temporal systems
- Linear and nonlinear rheology of wormlike micelles
Cited by in corpus (21)
- Rheology of giant micelles
- Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations
- Defect dynamics in active nematics
- Spatio-temporal oscillations and rheochaos in a simple model of shear banding
- Unsteady flow and particle migration in dense, non-Brownian suspensions
- Complex Spontaneous Flows and Concentration Banding in Active Polar Films
- Rheology of Active Filament Solutions
- Instability and spatiotemporal rheochaos in a shear-thickening fluid model
- Routes to spatiotemporal chaos in the rheology of nematogenic fluids
- A minimal model for chaotic shear banding in shear-thickening fluids
- Viscoelastic Phase Separation in Shear Flow
- Driven active and passive nematics
- Rheology of Cubic Blue Phases
- Bubble kinematics in a sheared foam
- Granger Causality and Cross Recurrence Plots in Rheochaos
- A Coupled Map Lattice Model for Rheological Chaos in Sheared Nematic Liquid Crystals
- Spatio-temporal structures in sheared polymer systems
- Banded spatiotemporal chaos in sheared nematogenic fluids
- Time-delayed feedback control of shear-driven micellar systems
- Regular and Chaotic States in a Local Map Description of Sheared Nematic Liquid Crystals
- A spatio-temporal study of rheo-oscillations in a sheared lamellar phase using ultrasound