Fragility and thermal expansion control crystal melting and the glass transition
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910878990860288 |
|---|---|
| author | Zaccone, Alessio Samwer, Konrad |
| author_facet | Zaccone, Alessio Samwer, Konrad |
| contents | Analytical relations for the glass transition temperature, $T_g$, and the crystal melting temperature, $T_m$, are developed on the basis of nonaffine lattice dynamics. The proposed relations explain: (i) the seemingly universal factor of $\approx 2/3$ difference between glass transition temperature and melting temperature of the corresponding crystal, and (ii) the recent empirical discovery that both $T_g$ and $T_m$ are proportional to the liquid fragility $m$ divided by the thermal expansion coefficient $α$ of the solid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fragility and thermal expansion control crystal melting and the glass transition Zaccone, Alessio Samwer, Konrad Soft Condensed Matter Disordered Systems and Neural Networks Materials Science Statistical Mechanics Chemical Physics Analytical relations for the glass transition temperature, $T_g$, and the crystal melting temperature, $T_m$, are developed on the basis of nonaffine lattice dynamics. The proposed relations explain: (i) the seemingly universal factor of $\approx 2/3$ difference between glass transition temperature and melting temperature of the corresponding crystal, and (ii) the recent empirical discovery that both $T_g$ and $T_m$ are proportional to the liquid fragility $m$ divided by the thermal expansion coefficient $α$ of the solid. |
| title | Fragility and thermal expansion control crystal melting and the glass transition |
| topic | Soft Condensed Matter Disordered Systems and Neural Networks Materials Science Statistical Mechanics Chemical Physics |
| url | https://arxiv.org/abs/2503.13270 |