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We studied rotation of a disk propelled by a number of camphor pillssymmetrically distributed at its edge. The disk was put on a water surface sothat it could rotate around a vertical axis located at the disk center. In sucha system, the driving torque originates from surface tension differenceresulting from inhomogeneous surface concentration of camphor moleculesreleased from the pills. Here we investigated the dependence of the stationaryangular velocity on the disk radius and on the number of pills. The workextends our previous study on a linear rotor propelled by two camphor pills[Phys. Rev. E, 96, 012609 (2017)]. It was observed that the angular velocitydropped to zero after a critical number of pills was exceeded. Such behaviorwas confirmed by a numerical model of time evolution of the rotor. The modelpredicts that, for a fixed friction coefficient, the speed of pills can beaccurately represented by a function of the linear number density of pills. Wealso present bifurcation analysis of the conditions at which the transitionbetween a standing and a rotating disk appears.

Bifurcation in the angular velocity of a circular disk propelled by symmetrically distributed camphor pills