Before revision:  We present a computational and theoretical study of  a many-body Brownian ratchet, in which a "gel " of multiple, stiff polymerizing filaments pushes a diffusing obstacle.
After revision:  We present a computational and theoretical study of the nonequilibrium statistical dynamics of such a many-body Brownian ratchet, in which a "gel " of multiple, stiff polymerizing filaments pushes a diffusing obstacle.