Emergence of cooperative dynamics in fully packed classical dimers

Oakes, Tom, Garrahan, Juan P. and Powell, Stephen (2016) Emergence of cooperative dynamics in fully packed classical dimers. Physical Review E, 93 (3). 032129/1-032129/10. ISSN 2470-0053

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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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/780131
Additional Information: Emergence of cooperative dynamics in fully packed classical dimers, Tom Oakes, Juan P. Garrahan, and Stephen Powell, Phys. Rev. E 93, 032129.
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: https://doi.org/10.1103/PhysRevE.93.032129
Depositing User: Powell, Stephen
Date Deposited: 07 Jul 2016 07:52
Last Modified: 04 May 2020 17:41
URI: https://eprints.nottingham.ac.uk/id/eprint/34679

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