Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices

Abstract Random assemblies of particles subjected to cyclic shear undergo a reversible–irreversible transition (RIT) with increasing a shear amplitude d or particle density n, while the latter type of RIT has not been verified experimentally. Here, we measure the time-dependent velocity of cyclicall...

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Autores principales:	S. Maegochi, K. Ienaga, S. Okuma
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/a643926b6a0c4ec19259bfbcdaa4a0d6
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spelling	oai:doaj.org-article:a643926b6a0c4ec19259bfbcdaa4a0d62021-12-02T18:51:36ZCritical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices10.1038/s41598-021-98959-w2045-2322https://doaj.org/article/a643926b6a0c4ec19259bfbcdaa4a0d62021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-98959-whttps://doaj.org/toc/2045-2322Abstract Random assemblies of particles subjected to cyclic shear undergo a reversible–irreversible transition (RIT) with increasing a shear amplitude d or particle density n, while the latter type of RIT has not been verified experimentally. Here, we measure the time-dependent velocity of cyclically sheared vortices and observe the critical behavior of RIT driven by vortex density B as well as d. At the critical point of each RIT, $$B_{\mathrm {c}}$$ B c and $$d_{\mathrm {c}}$$ d c , the relaxation time $$\tau $$ τ to reach the steady state shows a power-law divergence. The critical exponent for B-driven RIT is in agreement with that for d-driven RIT and both types of RIT fall into the same universality class as the absorbing transition in the two-dimensional directed-percolation universality class. As d is decreased to the average intervortex spacing in the reversible regime, $$\tau (d)$$ τ ( d ) shows a significant drop, indicating a transition or crossover from a loop-reversible state with vortex-vortex collisions to a collisionless point-reversible state. In either regime, $$\tau (d)$$ τ ( d ) exhibits a power-law divergence at the same $$d_{\mathrm {c}}$$ d c with nearly the same exponent.S. MaegochiK. IenagaS. OkumaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q S. Maegochi K. Ienaga S. Okuma Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices
description	Abstract Random assemblies of particles subjected to cyclic shear undergo a reversible–irreversible transition (RIT) with increasing a shear amplitude d or particle density n, while the latter type of RIT has not been verified experimentally. Here, we measure the time-dependent velocity of cyclically sheared vortices and observe the critical behavior of RIT driven by vortex density B as well as d. At the critical point of each RIT, $$B_{\mathrm {c}}$$ B c and $$d_{\mathrm {c}}$$ d c , the relaxation time $$\tau $$ τ to reach the steady state shows a power-law divergence. The critical exponent for B-driven RIT is in agreement with that for d-driven RIT and both types of RIT fall into the same universality class as the absorbing transition in the two-dimensional directed-percolation universality class. As d is decreased to the average intervortex spacing in the reversible regime, $$\tau (d)$$ τ ( d ) shows a significant drop, indicating a transition or crossover from a loop-reversible state with vortex-vortex collisions to a collisionless point-reversible state. In either regime, $$\tau (d)$$ τ ( d ) exhibits a power-law divergence at the same $$d_{\mathrm {c}}$$ d c with nearly the same exponent.
format	article
author	S. Maegochi K. Ienaga S. Okuma
author_facet	S. Maegochi K. Ienaga S. Okuma
author_sort	S. Maegochi
title	Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices
title_short	Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices
title_full	Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices
title_fullStr	Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices
title_full_unstemmed	Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices
title_sort	critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a643926b6a0c4ec19259bfbcdaa4a0d6
work_keys_str_mv	AT smaegochi criticalbehaviorofdensitydrivenandsheardrivenreversibleirreversibletransitionsincyclicallyshearedvortices AT kienaga criticalbehaviorofdensitydrivenandsheardrivenreversibleirreversibletransitionsincyclicallyshearedvortices AT sokuma criticalbehaviorofdensitydrivenandsheardrivenreversibleirreversibletransitionsincyclicallyshearedvortices
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Critical behavior of density-driven and shear-driven reversible–irreversible transitions in cyclically sheared vortices

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