  We consider the large time behavior of solutions of compressible viscoelastic
system around a motionless state in a three-dimensional whole space. We show
that if the initial preturbation belongs to $W^{2,1}$, and is sufficiently
small in $H^4\cap L^1$, the solutions grow in time at the same rate as
$t^{\frac{1}{2}}$ in $L^1$ due to diffusion wave phenomena of the system caused
by interaction between sound wave, viscous diffusion and elastic wave.
