Bimodal velocity distribution induced by Levy noise

Anomalous transport of inertial Levy flight subject to nonlinear friction in force-free potential is studied. By introducing velocity-dependent nonlinear friction, long-jump Levy particles are constrained, and the dynamical behavior of the particles is changed to normal diffusion. It is observed that velocity probability distribution shows bimodal model distribution. Moreover, the bimodal model is connected with Levy index and nonlinear index.