Clever algorithms for glasses work by time reparametrization
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910005675950080 |
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| author | Ghimenti, Federico Berthier, Ludovic Kurchan, Jorge van Wijland, Frédéric |
| author_facet | Ghimenti, Federico Berthier, Ludovic Kurchan, Jorge van Wijland, Frédéric |
| contents | The ultraslow dynamics of glass-formers has been explained by two views considered as mutually exclusive: one invokes locally hindered mobility, the other rests on the complexity of the configuration space. Here we demonstrate that the evolution responds strongly to the details of the dynamics by changing the speed of time-flow: it has time-reparametrization softness. This finding reconciles both views: while local constraints reparametrize the flow of time, the global landscape determines relationships between different correlations at the same times. We show that modern algorithms developed to accelerate the relaxation to equilibrium act by changing the time reparametrization. Their success thus relies on their ability to exploit reparametrization softness. We conjecture that these results extend beyond the realm of glasses to the optimization of more general constraint satisfaction problems and to broader classes of algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17121 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Clever algorithms for glasses work by time reparametrization Ghimenti, Federico Berthier, Ludovic Kurchan, Jorge van Wijland, Frédéric Disordered Systems and Neural Networks Soft Condensed Matter Statistical Mechanics Computational Physics The ultraslow dynamics of glass-formers has been explained by two views considered as mutually exclusive: one invokes locally hindered mobility, the other rests on the complexity of the configuration space. Here we demonstrate that the evolution responds strongly to the details of the dynamics by changing the speed of time-flow: it has time-reparametrization softness. This finding reconciles both views: while local constraints reparametrize the flow of time, the global landscape determines relationships between different correlations at the same times. We show that modern algorithms developed to accelerate the relaxation to equilibrium act by changing the time reparametrization. Their success thus relies on their ability to exploit reparametrization softness. We conjecture that these results extend beyond the realm of glasses to the optimization of more general constraint satisfaction problems and to broader classes of algorithms. |
| title | Clever algorithms for glasses work by time reparametrization |
| topic | Disordered Systems and Neural Networks Soft Condensed Matter Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/2409.17121 |