Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder

Reichhardt, C. J. O.; del Campo, A.; Reichhardt, C.

doi:10.1038/s42005-022-00952-w

Kibble-Zurek mechanism for nonequilibrium phase transitions in driven systems with quenched disorder

Journal Article · Mon Jul 04 04:00:00 EDT 2022 · Communications Physics

DOI:https://doi.org/10.1038/s42005-022-00952-w· OSTI ID:1874698

; ; Reichhardt, C.

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, $$$${\rho }_{{{{{{{{\rm{d}}}}}}}}}\propto 1/{t}_{{{{{{{{\rm{q}}}}}}}}}^{\beta }$$$$ $ρ_{d} \propto 1 / t_{q}^{β}$ , 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.

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Sponsoring Organization:: USDOE

OSTI ID:: 1874698

Alternate ID(s):: OSTI ID: 2342053

Journal Information:: Communications Physics, Journal Name: Communications Physics Journal Issue: 1 Vol. 5; ISSN 2399-3650

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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