Competing structures in a minimal double-well potential model of condensed matter
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914234374291456 |
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| author | Cartwright, Julyan H. E. Escribano, Bruno Roldán-Vargas, Sándalo Sainz-Díaz, C. Ignacio |
| author_facet | Cartwright, Julyan H. E. Escribano, Bruno Roldán-Vargas, Sándalo Sainz-Díaz, C. Ignacio |
| contents | The microscopic structure of several amorphous substances often reveals complex patterns such as medium- or long-range order, spatial heterogeneity, and even local polycrystallinity. To capture all these features, models usually incorporate a refined description of the particle interaction that includes an ad hoc design of the inside of the system constituents, and use temperature as a control parameter. We show that all these features can emerge from a minimal athermal two-dimensional model where particles interact isotropically by a double-well potential, which includes an excluded volume and a maximum coordination number. The rich variety of structural patterns shown by this simple geometrical model apply to a wide range of real systems including water, silicon, and different amorphous materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17901 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Competing structures in a minimal double-well potential model of condensed matter Cartwright, Julyan H. E. Escribano, Bruno Roldán-Vargas, Sándalo Sainz-Díaz, C. Ignacio Materials Science Disordered Systems and Neural Networks Statistical Mechanics Adaptation and Self-Organizing Systems The microscopic structure of several amorphous substances often reveals complex patterns such as medium- or long-range order, spatial heterogeneity, and even local polycrystallinity. To capture all these features, models usually incorporate a refined description of the particle interaction that includes an ad hoc design of the inside of the system constituents, and use temperature as a control parameter. We show that all these features can emerge from a minimal athermal two-dimensional model where particles interact isotropically by a double-well potential, which includes an excluded volume and a maximum coordination number. The rich variety of structural patterns shown by this simple geometrical model apply to a wide range of real systems including water, silicon, and different amorphous materials. |
| title | Competing structures in a minimal double-well potential model of condensed matter |
| topic | Materials Science Disordered Systems and Neural Networks Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2401.17901 |