Can exact scaling exponents be obtained using the renormalization group? Affirmative evidence from incompressible polar active fluids
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929642631331840 |
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| author | Jentsch, Patrick Lee, Chiu Fan |
| author_facet | Jentsch, Patrick Lee, Chiu Fan |
| contents | In active matter systems, non-Gaussian, exact scaling exponents have been claimed in a range of systems using perturbative renormalization group (RG) methods. This is unusual compared to equilibrium systems where non-Gaussian exponents can typically only be approximated, even using the exact (or functional/nonperturbative) renormalization group (ERG). Here, we perform an ERG analysis on the ordered phase of incompressible polar active fluids and find that the exact non-Gaussian exponents obtained previously using a perturbative RG method remain valid even in this nonperturbative setting. Furthermore, our ERG analysis elucidates the RG flow of this system and enables us to identify an active Goldstone regime with nontrivial, long-ranged scaling behavior for parallel and longitudinal fluctuations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_06725 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Can exact scaling exponents be obtained using the renormalization group? Affirmative evidence from incompressible polar active fluids Jentsch, Patrick Lee, Chiu Fan Soft Condensed Matter Biological Physics In active matter systems, non-Gaussian, exact scaling exponents have been claimed in a range of systems using perturbative renormalization group (RG) methods. This is unusual compared to equilibrium systems where non-Gaussian exponents can typically only be approximated, even using the exact (or functional/nonperturbative) renormalization group (ERG). Here, we perform an ERG analysis on the ordered phase of incompressible polar active fluids and find that the exact non-Gaussian exponents obtained previously using a perturbative RG method remain valid even in this nonperturbative setting. Furthermore, our ERG analysis elucidates the RG flow of this system and enables us to identify an active Goldstone regime with nontrivial, long-ranged scaling behavior for parallel and longitudinal fluctuations. |
| title | Can exact scaling exponents be obtained using the renormalization group? Affirmative evidence from incompressible polar active fluids |
| topic | Soft Condensed Matter Biological Physics |
| url | https://arxiv.org/abs/2307.06725 |