  There are several examples which show that the critical exponents can be
dependent on initial condition of the system. In such situations, there are
many systems where various issues related to the universal behavior e.g.
existence of universality, splitting of universality class, scaling violation,
whether the initial dependence should persist even after sufficiently long time
or is a transient effect, the reasons for such features, etc. are not yet quite
clear. In this article, with the simple example of conserved lattice gas (CLG)
model, we investigate such issues and clearly show that under certain
situations the asymptotic decay exponents are in fact dependent on the initial
condition of the system. We show that such effect arises because of existence
of two competing time scales, and identify the initial conditions which capture
the universal features of the system.
