  The scaled factorial moments $F_q$ are studied for a second-order
quark-hadron phase transition within the Ginzburg-Landau description. The role
played by the ground state of the system under low temperature is emphasized.
After a local shift of the order parameter the fluctuations are around the
ground state, and a perturbative calculation for $F_q$ can be carried out.
Power scaling between $F_q$'s is shown, and a universal scaling exponent
$\nu\simeq 1.75$ is given for the case with weak correlations and weak
self-interactions.
