Structural relaxation, self-diffusion, and kinetic heterogeneity in the two-dimensional lattice Coulomb gas

We present Monte Carlo simulation results on the equilibrium relaxation dynamics in the two-dimensional lattice Coulomb gas, where finite fractions f of the lattice sites are occupied by positive charges. In the case of high-order rational values of f close to the irrational number 1-g [g identical with (square root of 5-1)/2 is the golden mean], we find that the system exhibits, for a wide range of temperatures above the first-order transition, a glassy behavior resembling the primary relaxation of supercooled liquids. Single-particle diffusion and structural relaxation show that there exists a breakdown of proportionality between the time scale of diffusion and that of structural relaxation analogous to the violation of the Stokes-Einstein relation in supercooled liquids. Suitably defined dynamic cooperativity is calculated to exhibit the characteristic nature of dynamic heterogeneity present in the system.