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Collapse kinetics of vibrated granular chains.

Pei-Ren Jeng1, Kuan Hua Chen, Gwo-jen Hwang

  • 1Institute of Electronics Engineering, National Tsing-Hua University, Hsin-chu, Taiwan.

The Journal of Chemical Physics
|January 10, 2012
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Granular chains in water exhibit distinct collapse behaviors based on length. Shorter chains form disk-like states, while longer chains form rod-like clusters, indicating a first-order phase transition.

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Area of Science:

  • Physics
  • Materials Science
  • Soft Matter Physics

Background:

  • Granular chains partially immersed in water are complex systems.
  • Understanding the collapse dynamics of these chains is crucial for various applications.

Purpose of the Study:

  • To investigate the kinetics of coil-to-condensed state collapse in vibrated granular chains.
  • To analyze the influence of chain length on collapse dynamics and resulting structures.

Main Methods:

  • Experimental study of vibrated granular chains (N metal beads) partially immersed in water.
  • Measurement of the radius of gyration (R(g)) over time.
  • Analysis of structural functions and time-dependent relaxation behaviors.

Main Results:

  • Short chains (N < 140) form disk-like states with relaxation time (τ) following a power-law dependence on chain length (N^1.9 ± 0.2).
  • Long chains (N ≥ 300) initially form rod-like clusters, with collapse dynamics described by R(g)(2) = R(g)(2)(0) - Bt(0.6 ± 0.1).
  • Cluster growth follows Lifshitz-Slyozov theory; collapse exhibits first-order phase transition characteristics with spinodal decomposition features.

Conclusions:

  • Granular chain collapse is a length-dependent first-order phase transition.
  • Observed phenomena include distinct condensed states, power-law relaxation, and spinodal decomposition features.
  • The study provides insights into the complex dynamics of confined granular systems.