论文部分内容阅读
Lévy flight with nonlinear friction is studied.Due to the occurrence of extremely long jumps Lévy flights often possess infinite variance and are physically problematic if describing the dynamics of a particle of finite mass.However,by introducing nonlinear friction,we show that the stochastic process subject to Lévy noise exhibits finite variance,leading to a well-defined kinetic energy.In the force-free field,normal diffusion behavior is observed and the diffusion coefficient decreases with Lévy index μ.Furthermore,we find a kinetic resonance of the particle in the harmonic potential to the exteal oscillating field in the generally underdamped region and the value of the linear friction γ0 determines whether resonance occurs or not.The stable Lévy process,often called the Lévy flight,is used to model various phenomena such as self-diffusion in micelle systems,[1] special problems in reaction dynamics,[2] and even the flight of an albatross.