Self-organized swimming with odd elasticity

We theoretically investigated self-oscillated waves of an active solid, which have recently been introduced as a non-symmetric part of the elastic moduli, termed odd elasticity. With Purcell's three-link swimmer model, we reveal that an odd-elastic filament at a cellular scale can swim in viscous fluid via self-organized buckling instability. Also, motivated by shape fluctuation originating from internal molecular motors, we establish a general theory of microswimming under a noisy shape gait and theoretically demonstrate the odd elasticity produces biased net locomotion from random noise.