When the amplitude of waves exceeds a certain threshold, the stochasticity occurs both in the velocity space and configuration space. It is found that spatial diffusion and directional flow, which are much stronger than the classical processes, may be driven by waves in the k×B0 direction. In toroidal plasma, the spatial diffusion and bootstrap current, which are much stronger than the neoclassical processes, may be produced by the wave-driven velocity diffusion effect. The wave-enhanced bootstrap current is available for current drive.