Emergence of cooperative dynamics in fully packed classical dimers

Abstract

We study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We observe clear signatures of correlated dynamics in both global and local observables and over a broad range of time scales, indicating a breakdown of the simple continuum description that approximates well the statics. We show that this collective dynamics can be understood in terms of one-dimensional "strings" of high mobility, which govern both local and long-wavelength dynamical properties. We introduce a coarse-grained description of the strings, based on the Edwards-Wilkinson model, which leads to exact results in the limit of low string density and provides a detailed qualitative understanding of the dynamics in all flux sectors. We discuss the implications of our results for the dynamics of constrained systems more generally.

10 pages, 9 figures

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Cited by in corpus (8)

• Transition to a many-body localized regime in a two-dimensional disordered quantum dimer model
• Dynamics and large deviation transitions of the XOR-Fredrickson-Andersen kinetically constrained model
• Phases of quantum dimers from ensembles of classical stochastic trajectories
• Emergent Fracton Dynamics in a Non-Planar Dimer Model
• Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings
• Quantum Kasteleyn transition
• Time scales in the thermal dynamics of magnetic dipolar clusters
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench