Universal Hyperuniformity in Active Field Theories
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909148665348096 |
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| author | Zheng, Yuanjian Klatt, Michael A. Löwen, Hartmut |
| author_facet | Zheng, Yuanjian Klatt, Michael A. Löwen, Hartmut |
| contents | We show that dry scalar-order active field theories (AFTs) are universally hyperuniform, i.e., density fluctuations are anomalously suppressed in the long-time limit regardless of the integrability or functional form of the active contributions up to third order in gradient terms. These AFTs include Active model B, Active model B+, and effective Cahn-Hilliard models. Moreover, density variances and spectral densities are virtually indistinguishable from that of passive phase-separated hyperuniform fields. Higher moments of the density fluctuations, however, reveal activity-dependent higher-order correlations that are not captured by conventional two-point measures that characterize hyperuniformity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03107 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Universal Hyperuniformity in Active Field Theories Zheng, Yuanjian Klatt, Michael A. Löwen, Hartmut Statistical Mechanics Soft Condensed Matter We show that dry scalar-order active field theories (AFTs) are universally hyperuniform, i.e., density fluctuations are anomalously suppressed in the long-time limit regardless of the integrability or functional form of the active contributions up to third order in gradient terms. These AFTs include Active model B, Active model B+, and effective Cahn-Hilliard models. Moreover, density variances and spectral densities are virtually indistinguishable from that of passive phase-separated hyperuniform fields. Higher moments of the density fluctuations, however, reveal activity-dependent higher-order correlations that are not captured by conventional two-point measures that characterize hyperuniformity. |
| title | Universal Hyperuniformity in Active Field Theories |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2310.03107 |