Fluctuating isotropic electromagnetic fields are obtained by considering a large group of plane waves with wave vectors, polarizations and phases randomly distributed and fluctuating on time. Due to the isotropic character of this electromagnetic field, the optical force induced on an electric dipole is, in average, equal to zero. However, the dynamics of electric dipoles on these kind of systems are far from being trivial. In this work we analyze the dynamics of two dipoles using molecular dynamics simulations. In particular, we consider two silver nanoparticles of 5nm radius at Fr¨ohlich resonance. Under these conditions a gravity-like interaction among the two particles is induced. The molecular dynamics numerical simulations show how Keplerian-like trajectories are obtained under these particular conditions
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