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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/2401.15592 |
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| _version_ | 1866916743204569088 |
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| author | Wu, Yu-Xin Chen, Jin-Fu Quan, H. T. |
| author_facet | Wu, Yu-Xin Chen, Jin-Fu Quan, H. T. |
| contents | Hysteresis and metastable states are typical features associated with ergodicity breaking in the first-order phase transition. We explore the scaling relations of nonequilibrium thermodynamics in finite-time first-order phase transitions. Using the Curie-Weiss model as an example, for large systems we find the excess work scales as $v^{2/3}$ when the magnetic field is quenched at a finite rate $v$ across the phase transition. We further reveal a crossover in the scaling of the excess work from $v^{2/3}$ to $v$ when downsizing the system. Our study elucidates the interplay between the finite-time dynamics and the finite-size effect, which leads to different scaling behaviors of the excess work with or without ergodicity breaking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15592 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ergodicity Breaking and Scaling Relations for Finite-Time First-Order Phase Transition Wu, Yu-Xin Chen, Jin-Fu Quan, H. T. Statistical Mechanics Hysteresis and metastable states are typical features associated with ergodicity breaking in the first-order phase transition. We explore the scaling relations of nonequilibrium thermodynamics in finite-time first-order phase transitions. Using the Curie-Weiss model as an example, for large systems we find the excess work scales as $v^{2/3}$ when the magnetic field is quenched at a finite rate $v$ across the phase transition. We further reveal a crossover in the scaling of the excess work from $v^{2/3}$ to $v$ when downsizing the system. Our study elucidates the interplay between the finite-time dynamics and the finite-size effect, which leads to different scaling behaviors of the excess work with or without ergodicity breaking. |
| title | Ergodicity Breaking and Scaling Relations for Finite-Time First-Order Phase Transition |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2401.15592 |