Microscopic Theory of a Fluctuation-Induced Dynamical Crossover in Supercooled Liquids
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_ | 1866911319214522368 |
|---|---|
| author | Laudicina, Corentin C. L. Janssen, Liesbeth M. C. Szamel, Grzegorz |
| author_facet | Laudicina, Corentin C. L. Janssen, Liesbeth M. C. Szamel, Grzegorz |
| contents | Mean-field theories of the glass transition predict a phase transition to a dynamically arrested state, yet no such transition is observed in experiments or simulations of finite-dimensional systems. We resolve this long-standing discrepancy by incorporating critical dynamical fluctuations into a microscopic mode-coupling framework. We show that these fluctuations round off the mean-field singularity and restore ergodicity at all finite densities (or temperatures) without invoking activated dynamics or facilitation. The resulting effective theory describes the order parameter as a stochastic process with self-induced, annealed disorder, determined self-consistently at the mean-field level. In the $β$-relaxation regime it reduces to stochastic beta-relaxation theory, thereby unifying mode-coupling and replica-based approaches beyond mean-field. All parameters of the stochastic $β$-relaxation theory are fixed by the static structure, enabling parameter-free predictions that extend mean-field theory into finite dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13082 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Microscopic Theory of a Fluctuation-Induced Dynamical Crossover in Supercooled Liquids Laudicina, Corentin C. L. Janssen, Liesbeth M. C. Szamel, Grzegorz Soft Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics Chemical Physics Mean-field theories of the glass transition predict a phase transition to a dynamically arrested state, yet no such transition is observed in experiments or simulations of finite-dimensional systems. We resolve this long-standing discrepancy by incorporating critical dynamical fluctuations into a microscopic mode-coupling framework. We show that these fluctuations round off the mean-field singularity and restore ergodicity at all finite densities (or temperatures) without invoking activated dynamics or facilitation. The resulting effective theory describes the order parameter as a stochastic process with self-induced, annealed disorder, determined self-consistently at the mean-field level. In the $β$-relaxation regime it reduces to stochastic beta-relaxation theory, thereby unifying mode-coupling and replica-based approaches beyond mean-field. All parameters of the stochastic $β$-relaxation theory are fixed by the static structure, enabling parameter-free predictions that extend mean-field theory into finite dimensions. |
| title | Microscopic Theory of a Fluctuation-Induced Dynamical Crossover in Supercooled Liquids |
| topic | Soft Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics Chemical Physics |
| url | https://arxiv.org/abs/2512.13082 |