Kinetic analysis of a chiral granular motor
arXiv:1012.0793 · doi:10.1088/1742-5468/2011/03/P03009
Abstract
We study the properties of a heterogeneous, chiral granular rotor that is capable of performing useful work when immersed in a bath of thermalized particles. The dynamics can be obtained in general from a numerical solution of the Boltzmann-Lorentz equation. We show that a mechanical approach gives the exact mean angular velocity in the limit of an infinitely massive rotor. We examine the dependence of the mean angular velocity on the coefficients of restitution of the two materials composing the motor. We compute the power and efficiency and compare with numerical simulations. We also perform a realistic numerical simulation of a granular rotor which shows that the presence of non uniformity of the bath density within the region where the motor rotates, and that the ratchet effect is slightly weakened, but qualitatively sustained. Finally we discuss the results in connection with recent experiments.
19 pages, 12 figures
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Cited by in corpus (6)
- Brownian ratchet in a thermal bath driven by Coulomb friction
- Kinetics of a frictional granular motor
- Non-equilibrium fluctuations in frictional granular motor: experiments and kinetic theory
- Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
- Effect of dynamic and static friction on an asymmetric granular piston
- Granular Motor in the Non-Brownian Limit