Numerical Simulation Of Particle Transport Symmetric Periodic Potential

We researched the transport properties of inertial Brownian particles which move in a symmetric periodic potential. Firstly, the dynamics of Brownian mo-tor,the model of Brownian in the asymmetrical periodic potential and the numer-cial simulation method were introduced.Secondly, the influence of noisy intensity, the barrier height and the periodic driver to the transport of particles were studied.The symmetric periodic potential were subjected to both a symmetric, unbi-ased time-periodic external force and biased Gauss white shot noise. The trans-port process can be described effectively in term of two characteristic coefficients: velocity. The relation to model parameters and limitations for the periodic po-tential were discussed in this paper. Upon varying the parameters of white noise one conveniently can manipulate the transport direction and the overall nonlinear response behavior.Firstry, when the noise intensity was zero,in smaller bias force F<0.17, the velocity risk tends to zero; When the noise intensity D=0.001. even in smaller bias force F<0.17, the velocity was not zero and the absolutely negative mobility phenomenon was found; And the intensity of noise when D=0.01and D=0.1, in relatively Small bias force range, the absolutely negative mobility phenomenon disappeared. This suggested that the intensity of gaussian white noise could guide and decided to the transport of the particles. Gaussian white noise could induce the absolute negative mobility phenomenon, and could make particles of anomalous transport became normal. This confirmed the diversity in the role of noise in random system.Secondly, when the noise intensity D=0.005, and the potential barrier height by increasing from Vo=1.2to V0=1.0, the absolute negative mobility was disappeared. The transport of particles became normal transport.The barrier height can eliminate the absolute mobility phenomenon. When the periodic driver amplitude increase to a=5.1, and the noise intensity D=0.001, in smaller bias force F<0.08. the absolutely negative phenomenon was found. But when the noise intensity D=0.005. as the periodic driver increased, the absolutely negative phenomenon was disappeared. This suggested the periodic driver also could eliminate the absolute negative mobility phenomena,...