  Within the Kubo formalism, we estimate the spin-Hall conductivity in a
two-dimensional electron gas with Rashba spin-orbit interaction and study its
variation as a function of disorder strength and system size. The numerical
algorithm employed in the calculation is based on the direct numerical
integration of the time-dependent Schrodinger equation in a spin-dependent
variant of the particle source method. We find that the spin-precession length,
L_s controlled by the strength of the Rashba coupling, establishes the critical
lengthscale that marks the significant reduction of the spin-Hall conductivity
in bulk systems. In contrast, the electron mean free path, inversely
proportional to the strength of disorder, appears to have only a minor effect.
