Emergence of cooperative dynamics in fully packed classical dimers
Publication Date
March 9, 2016
Description
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.
The deposited data are Monte Carlo results for height correlations, persistence, and related observables.
Collection dates:
09.2014-09.2015
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Subjects
Subjects (JACS)
Subjects (LC)
Divisions
Faculties, Schools and Departments::University of Nottingham, UK Campus::Faculty of Science::School of Physics and Astronomy
Data type
Results of Monte Carlo simulations
Grant Number
EP/K01773X/1
EP/M019691/1
Data collection method
Continuous-time kinetic Monte Carlo
Resource languages
English
Publisher
University of Nottingham
Date Issued
March 8, 2016
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data.zip
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