Rotor dynamics in one and two dimensions

Abstract

A classical 1-D chain of rotors mimicking Non-Newtonian ⇤uids and showing di⇥erent ⇤ow regimes under di⇥erent parameters is reproduced [Eva+15]. The ends of the 1-D rotor system are rotated in opposite directions, and it is seen that the phase behaviour is analogous to a complex ⇤uid system, with the angular velocity distribution of the rotors representing the shear ⇤ow in ⇤uids. Then upon increasing the dimension, a 2D system of rotors with an added hydrodynamic interaction is studied as a model for bacterial carpets. Each rotor has an intrinsic angular velocity, and also subjects a force on the surrounding ⇤uid, which leads to synchronization and spirals formation in the ⇤uid ⇤ow under di⇥erent cases[UG10].