Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder
Abstract
Abstract We show that the Kibble-Zurek mechanism applies to nonequilibrium phase transitions found in driven assemblies of superconducting vortices and colloids moving over quenched disorder where a transition occurs from a plastic disordered flowing state to a moving anisotropic crystal. We measure the density of topological defects as a function of quench rate through the nonequilibrium phase transition, and find that on the ordered side of the transition, the topological defect density ρ d scales as a power law, $$$${\rho }_{{{{{{{{\rm{d}}}}}}}}}\propto 1/{t}_{{{{{{{{\rm{q}}}}}}}}}^{\beta }$$$$ , where t q is the quench time duration, consistent with the Kibble-Zurek mechanism. We show that scaling with the same exponent holds for varied strengths of quenched disorder and that the exponents fall in the directed percolation universality class. Our results suggest that the Kibble-Zurek mechanism can be applied to the broader class of systems that exhibit absorbing phase transitions.
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1874698
- Resource Type:
- Published Article
- Journal Name:
- Communications Physics
- Additional Journal Information:
- Journal Name: Communications Physics Journal Volume: 5 Journal Issue: 1; Journal ID: ISSN 2399-3650
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Reichhardt, C. J. O., del Campo, A., and Reichhardt, C. Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder. United Kingdom: N. p., 2022.
Web. doi:10.1038/s42005-022-00952-w.
Reichhardt, C. J. O., del Campo, A., & Reichhardt, C. Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder. United Kingdom. https://doi.org/10.1038/s42005-022-00952-w
Reichhardt, C. J. O., del Campo, A., and Reichhardt, C. Mon .
"Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder". United Kingdom. https://doi.org/10.1038/s42005-022-00952-w.
@article{osti_1874698,
title = {Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder},
author = {Reichhardt, C. J. O. and del Campo, A. and Reichhardt, C.},
abstractNote = {Abstract We show that the Kibble-Zurek mechanism applies to nonequilibrium phase transitions found in driven assemblies of superconducting vortices and colloids moving over quenched disorder where a transition occurs from a plastic disordered flowing state to a moving anisotropic crystal. We measure the density of topological defects as a function of quench rate through the nonequilibrium phase transition, and find that on the ordered side of the transition, the topological defect density ρ d scales as a power law, $${\rho }_{{{{{{{{\rm{d}}}}}}}}}\propto 1/{t}_{{{{{{{{\rm{q}}}}}}}}}^{\beta }$$ ρ d ∝ 1 / t q β , where t q is the quench time duration, consistent with the Kibble-Zurek mechanism. We show that scaling with the same exponent holds for varied strengths of quenched disorder and that the exponents fall in the directed percolation universality class. Our results suggest that the Kibble-Zurek mechanism can be applied to the broader class of systems that exhibit absorbing phase transitions.},
doi = {10.1038/s42005-022-00952-w},
journal = {Communications Physics},
number = 1,
volume = 5,
place = {United Kingdom},
year = {Mon Jul 04 00:00:00 EDT 2022},
month = {Mon Jul 04 00:00:00 EDT 2022}
}
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