Transport properties of a classical one-dimensional kicked billiard model

We study a classical I-dimensional kicked billiard model and investigate its transport behavior. The roles played by the two system parameters alpha and K, governing the direction and strength of the kick, respectively, are found to be quite crucial. For the perturbations which are not strong, i.e. K < 1, we find that as the phase parameter a changes within its range of interest from -pi/2 to pi/2, the phase space is in turn characterized by the structure of a prevalently connected stochastic web (-pi/2 less than or equal to alpha < 0), local stochastic webs surrounded by a stochastic sea (0 < alpha < pi/2) and the global stochastic sea (alpha = pi/2). Extensive numerical investigations also indicate that the system's transport behavior in the irregular regions of the phase space for K < 1 has a dependence on the system parameters and the transport coefficient D can be expressed as D approximate to D-0(alpha)K-f(alpha). For strong kicks, i.e. K much greater than 1, the phase space is occupied by the stochastic sea, and the transport behavior of the system seems to be similar to that of the kicked rotor and independent of alpha.