Equilibria and dynamics of two coupled chains of interacting dipoles

We explore the energy transfer dynamics in an array of two chains of identical rigid interacting dipoles. Varying the distance $b$ between the two chains of the array, a crossover between two different ground-state (GS) equilibrium configurations is observed. Linearizing around the GS configurations, we verify that interactions up to third nearest neighbors should be accounted to accurately describe the resulting dynamics. Starting with one of the GS, we excite the system by supplying it with an excess energy $\Delta K$ located initially on one of the dipoles. We study the time evolution of the array for different values of the system parameters $b$ and $\Delta K$. Our focus is hereby on two features of the energy propagation: the redistribution of the excess energy $\Delta K$ among the two chains and the energy localization along each chain. For typical parameter values, the array of dipoles reaches both the equipartition between the chains and the thermal equilibrium from the early stages of the time evolution. Nevertheless, there is a region in parameter space $(b,\Delta K)$ where even up to the long computation time of this study, the array does neither reach energy equipartition nor thermalization between chains. This fact is due to the existence of persistent chaotic breathers.