Induced permittivity increment of electrorheological fluids in an applied electric field in association with chain formation: A Brownian dynamics simulation study

We report Brownian Dynamics simulation results for the relative permittivity of electrorheological (ER) fluids in an applied electric field. The ER fluid can be calculated from Clausius-Mosotti (CM) equation small field limit. When a strong is applied, however, spheres are organized into chains and assemblies which case polarized not only by external but each other. This manifests itself enhanced dielectric response, e.g., increase permittivity. correction to time dependence this simulated on basis model particles represented as polarizable spheres. In model, also other addition Our qualitatively similar those obtained Horv\'ath Szalai experimentally (\textit{Phys. Rev. E}, \textbf{86}, 061403, 2012). characteristic constants bi-exponential fits that associated with formation pairs short well aggregation chains. induced increment reveals same qualitative behavior experiments did: three regions different slopes corresponding processes identified.