Wave energy self-trapping by self-focusing in large molecular structures: A damped stochastic discrete nonlinear Schrödinger equation model

The results in general confirm previous conjectures and observations that noise can inhibit energy self-trapping (the discrete counterpart of NLS self-focusing blow-up), while damping can reverse this and restore self-trapping. Damping is also shown to strongly stabilize the self-trapped states of the discrete models. It appears that the previously noted inhibition of nonlinear wave phenomena by noise is an artifact of models that includes the effects of heat input, but not of heat loss.