Swarmalators with thermal noise
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916382070800384 |
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| author | Hong, Hyunsuk O'Keeffe, Kevin P. Lee, Jae Sung Park, Hyunggyu |
| author_facet | Hong, Hyunsuk O'Keeffe, Kevin P. Lee, Jae Sung Park, Hyunggyu |
| contents | We investigate a population of swarmalators, a mobile version of phase oscillators that both sync in time and swarm through space. We focus on a XY-type model of identical swarmalators running on a one-dimensional ring and subject to thermal noise. We uncover four distinct collective states, some of which capture the behavior of real-world swarmalators such as vinegar eels and sperm. Among these, the most intriguing is the `mixed state', which blends two of the other states. We present a comprehensive phase diagram from the Fourier mode analysis with a high accuracy, which is in excellent agreement with numerical simulation results. Our model serves as a tractable toy model for thermal systems that both self-synchronize and self-assemble interdependently. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11820 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Swarmalators with thermal noise Hong, Hyunsuk O'Keeffe, Kevin P. Lee, Jae Sung Park, Hyunggyu Statistical Mechanics We investigate a population of swarmalators, a mobile version of phase oscillators that both sync in time and swarm through space. We focus on a XY-type model of identical swarmalators running on a one-dimensional ring and subject to thermal noise. We uncover four distinct collective states, some of which capture the behavior of real-world swarmalators such as vinegar eels and sperm. Among these, the most intriguing is the `mixed state', which blends two of the other states. We present a comprehensive phase diagram from the Fourier mode analysis with a high accuracy, which is in excellent agreement with numerical simulation results. Our model serves as a tractable toy model for thermal systems that both self-synchronize and self-assemble interdependently. |
| title | Swarmalators with thermal noise |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2302.11820 |