Ratchet due to broken friction symmetry
Abstract
A ratchet mechanism that occurs due to asymmetric dependence of the friction of a moving system on its velocity or a driving force is reported. For this kind of ratchet, instead of a particle moving in a periodic potential, the dynamics of which have broken space-time symmetry, the system must be provided with some internal structure realizing such a velocity- or force-friction dependence. For demonstration of a ratchet mechanism of this type, an experimental setup (gadget) that converts longitudinal oscillating or fluctuating motion into a unidirectional rotation has been built and experiments with it have been carried out. In this device, an asymmetry of friction dependence on an applied force appears, resulting in rectification of rotary motion. In experiments, our setup is observed to rotate only in one direction, which is in accordance with given theoretical arguments. Despite the setup being three dimensional, the ratchet rotary motion is proved to be described by one dynamical equation. This kind of motion is a result of the interplay of friction and inertia. We also consider a case with viscous friction, which is irrelevant to this gadget, but it can be a possible mechanism of rotary unidirectional motion of some swimming organisms in a liquid.
- Publication:
-
Physical Review E
- Pub Date:
- December 2001
- DOI:
- 10.1103/PhysRevE.65.011110
- Bibcode:
- 2001PhRvE..65a1110N
- Keywords:
-
- 05.90.+m;
- 45.90.+t;
- 01.50.My;
- 87.17.Jj;
- Other topics in statistical physics thermodynamics and nonlinear dynamical systems;
- Other topics in classical mechanics of discrete systems;
- Demonstration experiments and apparatus;
- Cell locomotion;
- chemotaxis and related directed motion