of particles.

When quenched to a temperature below $T_c$, the system is always found to undergo phase ordering via slow coarsening processes. The system therefore does not remain in a supercooled state. Rather it becomes slowly crystalized. It should be emphasized that in this system it is the relaxation for the temperatures [*above*]{} $T_c$ that exhibits slow dynamic behavior which shares some common features with that of supercooled liquids.

Model and Simulation Methods
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General 2D LCG [@teitel] is described by the following Hamiltonian that can be mapped from UFXY model by means of Villain transformation [@villain],

$${\cal H}_{CG}={1 \over 2}\sum_{ij}Q_iG(r_{ij})Q_j \label{eq:Hcg}$$

where $r_{ij}$ is the distance between the sites $i$ and $j$, and the magnitude of charge $Q_i$ at site $i$ can take either $1-f$ or $-f$ , where $f$ corresponds to the frustration parameter in the related XY models. Charge neutrality condition $\sum_iQ_i=0$ implies that the number density of the positive charges is equal to $f$. As was mentioned above, we can thus view the system as a lattice gas of $N \cdot f$ charges of unit magnitude upon uniform negative background charges of charge density $-f$ ($N= L^2$ is the total size of the system with the 