Instabilities and turbulence in extensile swimmer suspensions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908634863108096 |
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| author | Jain, Purnima Rana, Navdeep Benzi, Roberto Perlekar, Prasad |
| author_facet | Jain, Purnima Rana, Navdeep Benzi, Roberto Perlekar, Prasad |
| contents | We study low Reynolds number turbulence in a suspension of polar, extensile, self-propelled inertial swimmers. We review the bend and splay mechanisms that destabilize an ordered flock. The suspension is always unstable to bend perturbations. Using a minimal 1D model, we show that the splay-stable to splay-unstable transition occurs via a supercritical Hopf bifurcation. We perform high-resolution numerical simulations in 2D to study the varieties of turbulence present in this system transitioning from defect turbulence to concentration-wave turbulence depending on a single non-dimensional number, denoting the ratio of the splay-concentration wavespeed to the swimmer motility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Instabilities and turbulence in extensile swimmer suspensions Jain, Purnima Rana, Navdeep Benzi, Roberto Perlekar, Prasad Soft Condensed Matter Fluid Dynamics We study low Reynolds number turbulence in a suspension of polar, extensile, self-propelled inertial swimmers. We review the bend and splay mechanisms that destabilize an ordered flock. The suspension is always unstable to bend perturbations. Using a minimal 1D model, we show that the splay-stable to splay-unstable transition occurs via a supercritical Hopf bifurcation. We perform high-resolution numerical simulations in 2D to study the varieties of turbulence present in this system transitioning from defect turbulence to concentration-wave turbulence depending on a single non-dimensional number, denoting the ratio of the splay-concentration wavespeed to the swimmer motility. |
| title | Instabilities and turbulence in extensile swimmer suspensions |
| topic | Soft Condensed Matter Fluid Dynamics |
| url | https://arxiv.org/abs/2507.06239 |