| Autor: |
Piro, Lorenzo, Tang, Evelyn, Golestanian, Ramin |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Phys. Rev. Research 3, 023125 (2021) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevResearch.3.023125 |
| Popis: |
Finding the fastest path to a desired destination is a vitally important task for microorganisms moving in a fluid flow. We study this problem by building an analytical formalism for overdamped microswimmers on curved manifolds and arbitrary flows. We show that the solution corresponds to the geodesics of a Randers metric, which is an asymmetric Finsler metric that reflects the irreversible character of the problem. Using the example of a spherical surface, we demonstrate that the swimmer performance that follows this "Randers policy" always beats a more direct policy. A study of the shape of isochrones reveals features such as self-intersections, cusps, and abrupt nonlinear effects. Our work provides a link between microswimmer physics and geodesics in generalizations of general relativity. |
| Databáze: |
arXiv |
| Externí odkaz: |
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