Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-02-04
Phys. Rev. E 72, 016103 (2005)
Physics
Condensed Matter
Statistical Mechanics
12 pages, 13 figs; published version
Scientific paper
10.1103/PhysRevE.72.016103
We study static and dynamic spatial correlations in a two-dimensional spin model with four-body plaquette interactions and standard Glauber dynamics by means of analytic arguments and Monte Carlo simulations. We study in detail the dynamical behaviour which becomes glassy at low temperatures due to the emergence of effective kinetic constraints in a dual representation where spins are mapped to plaquette variables. We study the interplay between non-trivial static correlations of the spins and the dynamic `four-point' correlations usually studied in the context of supercooled liquids. We show that slow dynamics is spatially heterogeneous due to the presence of diverging lengthscales and scaling, as is also found in kinetically constrained models. This analogy is illustrated by a comparative study of a froth model where the kinetic constraints are imposed.
Berthier Ludovic
Garrahan Juan P.
Jack Robert L.
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