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Chaos and threshold for irreversibility in sheared suspensions

Author

Listed:
  • D. J. Pine

    (University of California
    New York University)

  • J. P. Gollub

    (University of California
    Haverford College)

  • J. F. Brady

    (California Institute of Technology)

  • A. M. Leshansky

    (Technion - Israel Institute of Technology)

Abstract

No turning back According to the laws of fluid motion, when a simple fluid or suspension of particles is slowly stirred then unstirred — imagine a spoon in a jar of honey — all parts of the system should miraculously return to their starting points. This is a consequence of the time-reversible equations of motion, at least for two-dimensional flows. But in more complex flows, such as those in three-dimensional or rigorously stirred systems, this delicate effect is destroyed. An investigation of a slowly sheared suspension of solid particles now reveals the microscopic processes behind this transition to irreversible behaviour. Beyond a concentration-dependent threshold strain, irreversibility sets in as a result of chaotic collisions between the particles.

Suggested Citation

  • D. J. Pine & J. P. Gollub & J. F. Brady & A. M. Leshansky, 2005. "Chaos and threshold for irreversibility in sheared suspensions," Nature, Nature, vol. 438(7070), pages 997-1000, December.
    • Handle: RePEc:nat:nature:v:438:y:2005:i:7070:d:10.1038_nature04380
    DOI: 10.1038/nature04380
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    Cited by:

    1. Ning Cui & Junhong Li, 2018. "Dynamic Analysis of a Particle Motion System," Mathematics, MDPI, vol. 7(1), pages 1-14, December.
    2. Yue Deng & Deng Pan & Yuliang Jin, 2024. "Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations," Nature Communications, Nature, vol. 15(1), pages 1-12, December.

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