Dynamics of packed swarms: time-displaced correlators of two dimensional incompressible flocks
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910310570393600 |
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| author | Chen, Leiming Lee, Chiu Fan Maitra, Ananyo Toner, John |
| author_facet | Chen, Leiming Lee, Chiu Fan Maitra, Ananyo Toner, John |
| contents | We analytically calculate the scaling exponents of a two-dimensional KPZ-like system: coherently moving incompressible polar active fluids. Using three different renormalization group approximation schemes, we obtain values for the ``roughness" exponent $χ$ and anisotropy exponent $ζ$ that are extremely near the known exact results. This implies our prediction for the previously completely unknown dynamic exponent $z$ is quantitatively accurate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_06139 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamics of packed swarms: time-displaced correlators of two dimensional incompressible flocks Chen, Leiming Lee, Chiu Fan Maitra, Ananyo Toner, John Soft Condensed Matter Statistical Mechanics We analytically calculate the scaling exponents of a two-dimensional KPZ-like system: coherently moving incompressible polar active fluids. Using three different renormalization group approximation schemes, we obtain values for the ``roughness" exponent $χ$ and anisotropy exponent $ζ$ that are extremely near the known exact results. This implies our prediction for the previously completely unknown dynamic exponent $z$ is quantitatively accurate. |
| title | Dynamics of packed swarms: time-displaced correlators of two dimensional incompressible flocks |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2304.06139 |