Relaxation Theory For Dynamic Electrorheological Effect

We present a model to investigate the induced interaction between rotating particles in ER fluids. For particle undergoes uniform rotation or harmonic oscillation, the effects due to dipole relaxation are studied analytically. The induced interaction between particles which are rotating uniformly is derived. The result shows that the dynamic effect reduces the interaction between particles. A proof on the consistency of the relaxation equation with charge conservation upon rotation is also given.