  We perform a detailed numerical study of diffusion in the $\varepsilon$
stadium of Bunimovich, and propose an empirical model of the local and global
diffusion for various values of $\varepsilon$ with the following conclusions:
(i) the diffusion is normal for all values of $\varepsilon \leq(0.3)$ and all
initial conditions, (ii) the diffusion constant is a parabolic function of the
momentum (i.e., we have inhomogeneous diffusion), (iii) the model describes the
diffusion very well including the boundary effects, (iv) the approach to the
asymptotic equilibrium steady state is exponential, (v) the so-called random
model (Robnik et al., 1997) is confirmed to apply very well, (vi) the diffusion
constant extracted from the distribution function in momentum space and the one
derived from the second moment agree very well. The classical transport time,
an important parameter in quantum chaos, is thus determined.
