Self-organized swimming with odd elasticity

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.

10 pages, 4 figures

References in corpus (8)

• Geometric visualization of self-propulsion in a complex medium
• Rhythmicity, Recurrence, and Recovery of Flagellar Beating
• The Bank Of Swimming Organisms at the Micron Scale (BOSO-Micro)
• Propulsion by passive filaments and active flagella near boundaries
• Fluctuation Properties of Steady-State Langevin Systems
• Optimal Design for Purcell Three-link Swimmer
• Odd Microswimmer
• Geometric phase methods with Stokes theorem for a general viscous swimmer

Cited by in corpus (13)

• Odd Viscosity and Odd Elasticity
• Jeffery's orbits and microswimmers in flows: A theoretical review
• Time-correlation functions for odd Langevin systems
• Odd elastohydrodynamics: non-reciprocal living material in a viscous fluid
• Onsager's variational principle for nonreciprocal systems with odd elasticity
• Generalized Three-Sphere Microswimmers
• Odd elasticity of a catalytic micromachine
• Robust undulatory locomotion via neuromechanical adjustments in a dissipative medium
• Molecular modelling of odd viscoelastic fluids
• Simulations of Odd Microswimmers
• Irreversibility of stochastic state transitions in Langevin systems with odd elasticity
• Bending-compression coupling in extensible slender microswimmers
• Screw Symmetry, Chiral Hydrodynamics and Odd Instability in Active Cholesterics