Glassy Relaxation and Breakdown of the Stokes-Einstein Relation in the
  Two Dimensional Lattice Coulomb Gas of Fractional Charges

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Abstract

We present Monte Carlo simulation results on the equilibrium relaxation of the two dimensional lattice Coulomb gas with fractional charges, which exhibits a close analogy to the primary relaxation of fragile supercooled liquids. Single particle and collective relaxation dynamics show that the Stokes-Einstein relation is violated at low temperatures, which can be characterized by a fractional power law relation between the self-diffusion coefficient and the characteristic relaxation time. The microscopic spatially heterogeneous structure responsible for the violation is identified.

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Supercooled Liquids and Glasses

M Ediger, C Angell, Sidney R. Nagel (1996)

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Glassiness Vs. Order in Densely Frustrated Josephson Arrays

Pramod Gupta, Michel Gingras, S Teitel (1997)

We carry out extensive Monte Carlo simulations on the Coulomb gas dual to the uniformly frustrated two dimensional XY model, for a sequence of frustrations f converging to the irraltional (3-sqrt 5)/2. We find in these systems a sharp first order equilibrium phase transition to an ordered vortex structure at a T_c which varies only slightly with f. This ordered vortex structure remains in general phase incoherent until a lower pinning transition T_p(f) that varies with f. We argue that the glassy behaviors reported for this model in earlier simulations are dynamic effects.