摘要
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 index𝜇.Furthermore,we find a kinetic resonance of the particle in the harmonic potential to the external oscillating field in the generally underdamped region and the value of the linear friction𝛾0 determines whether resonance occurs or not.
作者
LÜYan
BAO Jing-Dong
吕艳;包景东(Department of Physics,Beijing Normal University,Beijing 100875)
基金
the National Natural Science Foundation of China under Grant Nos 10674016 and 10875013
the Specialized Research Foundation for the Doctoral Program of Higher Education under Grant No 20080027005。
