Volume 114, Number 3, May 2016
|Number of page(s)||6|
|Published online||25 May 2016|
Reciprocating motion of active deformable particles
1 Fukui Institute for Fundamental Chemistry, Kyoto University - Kyoto, 606-8103, Japan
2 Department of Physics, The University of Tokyo - Tokyo 113-0033, Japan
3 Toyota Physical and Chemical Research Institute - Nagakute, Aichi 480-1192, Japan
Received: 4 February 2016
Accepted: 10 May 2016
Reciprocating motion of an active deformable particle in a homogeneous medium is studied theoretically. For generality, we employ a simple model derived from symmetry considerations for the center-of-mass velocity and elliptical and triangular deformations in two dimensions. We carry out, for the first time, a systematic investigation of the reciprocating motion of a self-propelled particle. It is clarified that spontaneous breaking of the front-rear asymmetry is essential for the reciprocating motion. Moreover, two routes are found for the formation of the reciprocating motion. One is a bifurcation from a motionless stationary state. The other is destabilisation of an oscillatory rectilinear motion.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 82.40.Bj – Oscillations, chaos, and bifurcations
© EPLA, 2016
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