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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.18282 |
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| _version_ | 1866909269005172736 |
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| author | Kanazawa, Takahiro Kawaguchi, Kyogo Adachi, Kyosuke |
| author_facet | Kanazawa, Takahiro Kawaguchi, Kyogo Adachi, Kyosuke |
| contents | Dynamical phase transitions (DPTs) arise from qualitative changes in the long-time behavior of stochastic trajectories, often observed in systems with kinetic constraints or driven out of equilibrium. Here we demonstrate that first-order DPTs can occur even in the large deviations of a single Brownian particle without drift, but only when the system's dimensionality exceeds four. These DPTs are accompanied by temporal phase separations in the trajectories and exhibit dimension-dependent order due to the threshold behavior for bound state formation in Schrödinger operators. We also discover second-order DPTs in one-dimensional Brownian motion, characterized by universal exponents in the rate function of dynamical observables. Our results establish a novel framework linking classical DPTs to quantum phase transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18282 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical phase transitions in single particle Brownian motion without drift Kanazawa, Takahiro Kawaguchi, Kyogo Adachi, Kyosuke Statistical Mechanics Dynamical phase transitions (DPTs) arise from qualitative changes in the long-time behavior of stochastic trajectories, often observed in systems with kinetic constraints or driven out of equilibrium. Here we demonstrate that first-order DPTs can occur even in the large deviations of a single Brownian particle without drift, but only when the system's dimensionality exceeds four. These DPTs are accompanied by temporal phase separations in the trajectories and exhibit dimension-dependent order due to the threshold behavior for bound state formation in Schrödinger operators. We also discover second-order DPTs in one-dimensional Brownian motion, characterized by universal exponents in the rate function of dynamical observables. Our results establish a novel framework linking classical DPTs to quantum phase transitions. |
| title | Dynamical phase transitions in single particle Brownian motion without drift |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.18282 |