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Geometrical properties of mechanically annealed systems near the jamming transition

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Abstract

Geometrical properties of two-dimensional mixtures near the jamming transition point are numerically investigated using harmonic particles under mechanical training. The configurations generated by the quasi-static compression and oscillatory shear deformations exhibit anomalous suppression of the density fluctuations, known as hyperuniformity, below and above the jamming transition. For the jammed system trained by compression above the transition point, the hyperuniformity exponent increases. For the system below the transition point under oscillatory shear, the hyperuniformity exponent also increases until the shear amplitude reaches the threshold value. The threshold value matches with the transition point from the point-reversible phase where the particles experience no collision to the loop-reversible phase where the particles’ displacements are non-affine during a shear cycle before coming back to an original position. The results demonstrated in this paper are explained in terms of neither of universal criticality of the jamming transition nor the nonequilibrium phase transitions.

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Notes

  1. In the ensemble-averaging of \(\chi (q)\), we expand the system slightly to fix the simulation box-size for every sample. This is necessary since each sample jams at different volume fractions. We carefully checked that the effect of the small variation of the system size is negligible.

  2. Tjhung et al. argued that \(\alpha \) crosses over to 1 at very small q [23].

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Acknowledgements

Discussion with Srikanth Sastry and Misaki Ozawa is very fruitful. This work was financially supported by KAKENHI Grants 18H01188, 19H01812, 19K03767, 20H05157, and 20H00128.

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Authors and Affiliations

  1. Department of Physics, Nagoya University, Nagoya, 464-8602, Japan

    Hiromichi Matsuyama, Mari Toyoda, Takumi Kurahashi, Takeshi Kawasaki & Kunimasa Miyazaki

  2. Graduate School of Arts and Sciences, University of Tokyo, Tokyo, 153-8902, Japan

    Atsushi Ikeda

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  1. Hiromichi Matsuyama
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  2. Mari Toyoda
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  3. Takumi Kurahashi
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Correspondence to Kunimasa Miyazaki.

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Matsuyama, H., Toyoda, M., Kurahashi, T. et al. Geometrical properties of mechanically annealed systems near the jamming transition. Eur. Phys. J. E 44, 133 (2021). https://doi.org/10.1140/epje/s10189-021-00142-6

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