Emergence of cooperative dynamics in fully packed classical dimers
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...
| Main Authors: | , , |
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| Format: | Article |
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American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/34679/ |
| _version_ | 1848794909814816768 |
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| author | Oakes, Tom Garrahan, Juan P. Powell, Stephen |
| author_facet | Oakes, Tom Garrahan, Juan P. Powell, Stephen |
| author_sort | Oakes, Tom |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T19:23:41Z |
| format | Article |
| id | nottingham-34679 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:41Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-346792020-05-04T17:41:38Z https://eprints.nottingham.ac.uk/34679/ Emergence of cooperative dynamics in fully packed classical dimers Oakes, Tom Garrahan, Juan P. Powell, Stephen 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. American Physical Society 2016-03-16 Article PeerReviewed 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 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.032129 doi:10.1103/PhysRevE.93.032129 doi:10.1103/PhysRevE.93.032129 |
| spellingShingle | Oakes, Tom Garrahan, Juan P. Powell, Stephen Emergence of cooperative dynamics in fully packed classical dimers |
| title | Emergence of cooperative dynamics in fully packed classical dimers |
| title_full | Emergence of cooperative dynamics in fully packed classical dimers |
| title_fullStr | Emergence of cooperative dynamics in fully packed classical dimers |
| title_full_unstemmed | Emergence of cooperative dynamics in fully packed classical dimers |
| title_short | Emergence of cooperative dynamics in fully packed classical dimers |
| title_sort | emergence of cooperative dynamics in fully packed classical dimers |
| url | https://eprints.nottingham.ac.uk/34679/ https://eprints.nottingham.ac.uk/34679/ https://eprints.nottingham.ac.uk/34679/ |