  We study the kinetics of phase transitions in a Rayleigh-Benard system after
onset of convection using 2D Swift-Hohenberg equation. An initially uniform
state evolves to one whose ground state is spatially periodic. We confirmed
previous results which showed that dynamical scaling occurs at medium quench
($\epsilon = 0.25$) with scaling exponents 1/5 and 1/4 under zero noise and
finite noise respectively. We find logarithmic scaling behavior for a deep
quench ($\epsilon = 0.75$) at zero noise. A simple method is devised to measure
the proxy of domain wall length. We find that the energy and domain wall length
exhibit scaling behavior with the same exponent. For $\epsilon = 0.25$, the
scaling exponents are 1/4 and 0.3 at zero and finite noise respectively.
