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arXiv · 2109.14301

Self-organized swimming with odd elasticity

Kenta Ishimoto·Clément Moreau·Kento Yasuda
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Abstract

We theoretically investigate self-oscillating waves of an active material, which have recently been introduced as a non-symmetric part of the elastic moduli, termed odd elasticity. Using Purcell's three-link swimmer model, we reveal that an odd-elastic filament at low Reynolds number can swim in a self-organized manner and that the time-periodic dynamics are characterized by a stable limit cycle generated by elastohydrodynamic interactions. Also, we consider a noisy shape gait and derive a swimming formula for a general elastic material in the Stokes regime with its elasticity modulus being represented by a non-symmetric matrix, demonstrating that the odd elasticity produces biased net locomotion from random noise.

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Kenta Ishimoto, Clément Moreau, Kento Yasuda. 2021-09-29. Self-organized swimming with odd elasticity. https://doi.org/10.1103/physreve.105.064603

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