Universality in the dynamical phase transitions of Brownian motion
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 4. The DPTs accompany tempora...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013124 |
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| author | Takahiro Kanazawa Kyogo Kawaguchi Kyosuke Adachi |
| author_facet | Takahiro Kanazawa Kyogo Kawaguchi Kyosuke Adachi |
| author_sort | Takahiro Kanazawa |
| collection | DOAJ |
| description | 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 4. 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 | Article |
| id | doaj-art-b3a1dfbad15245cba82d102cc24122e6 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-b3a1dfbad15245cba82d102cc24122e62025-02-03T15:07:16ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101312410.1103/PhysRevResearch.7.013124Universality in the dynamical phase transitions of Brownian motionTakahiro KanazawaKyogo KawaguchiKyosuke AdachiWe 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 4. 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.http://doi.org/10.1103/PhysRevResearch.7.013124 |
| spellingShingle | Takahiro Kanazawa Kyogo Kawaguchi Kyosuke Adachi Universality in the dynamical phase transitions of Brownian motion Physical Review Research |
| title | Universality in the dynamical phase transitions of Brownian motion |
| title_full | Universality in the dynamical phase transitions of Brownian motion |
| title_fullStr | Universality in the dynamical phase transitions of Brownian motion |
| title_full_unstemmed | Universality in the dynamical phase transitions of Brownian motion |
| title_short | Universality in the dynamical phase transitions of Brownian motion |
| title_sort | universality in the dynamical phase transitions of brownian motion |
| url | http://doi.org/10.1103/PhysRevResearch.7.013124 |
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