Universality in the dynamical phase transitions of Brownian motion
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909262168457216 |
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| author | Kanazawa, Takahiro Kawaguchi, Kyogo Adachi, Kyosuke |
| author_facet | Kanazawa, Takahiro Kawaguchi, Kyogo Adachi, Kyosuke |
| contents | We study the dynamical phase transitions (DPTs) appearing for a single Brownian particle without drift. We first explore how first-order DPTs in large deviations can be found even for a single Brownian particle without any force upon raising the dimension to higher than four. The DPTs accompany temporal phase separations in their dynamical paths, which we numerically confirm by fitting to scaling functions. We next investigate how second-order DPTs can appear in one-dimensional free Brownian motion by choosing the observable, which essentially captures the localization transition of the trajectories. We discuss and confirm that the DPTs predicted for high dimensions can also be found when considering many Brownian particles at lower dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14090 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universality in the dynamical phase transitions of Brownian motion Kanazawa, Takahiro Kawaguchi, Kyogo Adachi, Kyosuke Statistical Mechanics We study the dynamical phase transitions (DPTs) appearing for a single Brownian particle without drift. We first explore how first-order DPTs in large deviations can be found even for a single Brownian particle without any force upon raising the dimension to higher than four. The DPTs accompany temporal phase separations in their dynamical paths, which we numerically confirm by fitting to scaling functions. We next investigate how second-order DPTs can appear in one-dimensional free Brownian motion by choosing the observable, which essentially captures the localization transition of the trajectories. We discuss and confirm that the DPTs predicted for high dimensions can also be found when considering many Brownian particles at lower dimensions. |
| title | Universality in the dynamical phase transitions of Brownian motion |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.14090 |