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Transition to turbulence in driven active matter.

Aritra Das1, J K Bhattacharjee2, T R Kirkpatrick3

  • 1Department of Physics, Indian Institute of Technology Kanpur, Kalyanpur 208016, Uttar Pradesh, India.

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|March 15, 2020
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Summary
This summary is machine-generated.

This study explores a new Lorenz-like model for active matter systems, revealing a unique path to chaos via period-doubling bifurcations. It demonstrates coexistence of attractors and a novel transition to turbulence.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Nonlinear Dynamics

Background:

  • Hydrodynamic instabilities are crucial in driven active matter systems.
  • Standard Lorenz models describe fluid dynamics but lack active matter contributions.
  • Active matter introduces nonlinearities affecting system dynamics.

Purpose of the Study:

  • Investigate the nonlinear properties of a modified Lorenz model incorporating active matter.
  • Analyze the transition to chaos and bifurcations in this novel system.
  • Determine the role of nonlinear terms in hydrodynamic instabilities.

Main Methods:

  • Analytical investigation of the modified Lorenz model.
  • Numerical simulations to explore system dynamics.
  • Analysis of bifurcations, attractors, and fixed points.

Main Results:

  • The model exhibits a complete set of period-doubling bifurcations leading to chaos.
  • Coexistence of strange attractors and stable fixed points observed.
  • A transition to turbulence characterized by consecutive period-doubling bifurcations was identified.

Conclusions:

  • The modified Lorenz model provides a physically relevant framework for studying active matter instabilities.
  • Period-doubling bifurcations are a key mechanism for chaos in this system.
  • This work presents the first Lorenz-like model demonstrating consecutive period-doubling bifurcations in a transition to turbulence.