Odd Dipole Screening in Radial Inflation
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909268854177792 |
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| author | Fu, Yang Hentschel, H. George E. Kaur, Pawandeep Kumar, Avanish Procaccia, Itamar |
| author_facet | Fu, Yang Hentschel, H. George E. Kaur, Pawandeep Kumar, Avanish Procaccia, Itamar |
| contents | The inflation of an inner radial (or spherical) cavity in an amorphous solids confined in a disk (or a sphere), served as a fruitful case model for studying the effects of plastic deformations on the mechanical response. It was shown that when the field associated with Eshelby quadrupolar charges is non-uniform, the displacement field is riddled with dipole charges that screen elasticity, reminiscent of Debye monopoles screening in electrostatics. In this paper we look deeper into the screening phenomenon, taking into account the consequences of irreversibility that are associated with the breaking of Chiral symmetry. We consider the equations for the displacement field with the presence of ``Odd Dipole Screening", solve them analytically and compare with numerical simulations. Suggestions how to test the theory in experiments are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16075 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Odd Dipole Screening in Radial Inflation Fu, Yang Hentschel, H. George E. Kaur, Pawandeep Kumar, Avanish Procaccia, Itamar Disordered Systems and Neural Networks Materials Science Soft Condensed Matter Statistical Mechanics The inflation of an inner radial (or spherical) cavity in an amorphous solids confined in a disk (or a sphere), served as a fruitful case model for studying the effects of plastic deformations on the mechanical response. It was shown that when the field associated with Eshelby quadrupolar charges is non-uniform, the displacement field is riddled with dipole charges that screen elasticity, reminiscent of Debye monopoles screening in electrostatics. In this paper we look deeper into the screening phenomenon, taking into account the consequences of irreversibility that are associated with the breaking of Chiral symmetry. We consider the equations for the displacement field with the presence of ``Odd Dipole Screening", solve them analytically and compare with numerical simulations. Suggestions how to test the theory in experiments are provided. |
| title | Odd Dipole Screening in Radial Inflation |
| topic | Disordered Systems and Neural Networks Materials Science Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2406.16075 |