Long-range angular correlations of particle displacements at a plastic-to-elastic transition in jammed amorphous solids
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866908343441817600 |
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| author | Fu, Yang Jin, Yuliang Pan, Deng Procaccia, Itamar |
| author_facet | Fu, Yang Jin, Yuliang Pan, Deng Procaccia, Itamar |
| contents | Understanding how a flow turns into an amorphous solid is a fundamental challenge in statistical physics, during which no apparent structural ordering appears. In the athermal limit, the two states are connected by a well-defined jamming transition, near which the solid is marginally stable. A recent mechanical response screening theory proposes an additional transition above jamming, called a plastic-to-elastic transition here, separating anomalous and quasi-elastic mechanical behavior. Through numerical inflation simulations in two dimensions, we show that the onsets of long-range radial and angular correlations of particle displacements decouple, occurring respectively at the jamming and plastic-to-elastic transitions. The latter is characterized by a power-law diverging correlation angle and a power-law spectrum of the displacements along a circle. This work establishes two-step transitions on the mechanical properties during ``decompression melting'' of an athermal over-jammed amorphous solid, reminiscent of the two-step structural melting of a crystal in two dimensions. In contradistinction with the latter, the plastic-to-elastic transition exists also in three dimensions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_04138 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Long-range angular correlations of particle displacements at a plastic-to-elastic transition in jammed amorphous solids Fu, Yang Jin, Yuliang Pan, Deng Procaccia, Itamar Soft Condensed Matter Statistical Mechanics Understanding how a flow turns into an amorphous solid is a fundamental challenge in statistical physics, during which no apparent structural ordering appears. In the athermal limit, the two states are connected by a well-defined jamming transition, near which the solid is marginally stable. A recent mechanical response screening theory proposes an additional transition above jamming, called a plastic-to-elastic transition here, separating anomalous and quasi-elastic mechanical behavior. Through numerical inflation simulations in two dimensions, we show that the onsets of long-range radial and angular correlations of particle displacements decouple, occurring respectively at the jamming and plastic-to-elastic transitions. The latter is characterized by a power-law diverging correlation angle and a power-law spectrum of the displacements along a circle. This work establishes two-step transitions on the mechanical properties during ``decompression melting'' of an athermal over-jammed amorphous solid, reminiscent of the two-step structural melting of a crystal in two dimensions. In contradistinction with the latter, the plastic-to-elastic transition exists also in three dimensions. |
| title | Long-range angular correlations of particle displacements at a plastic-to-elastic transition in jammed amorphous solids |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2410.04138 |