Long range correlations and slow time scales in a boundary driven granular model

Abstract We consider a velocity field with linear viscous interactions defined on a one dimensional lattice. Brownian baths with different parameters can be coupled to the boundary sites and to the bulk sites, determining different kinds of non-equilibrium steady states or free-cooling dynamics. Ana...

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Autores principales:	Andrea Plati, Andrea Puglisi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/fada97765a8f4986b55e71c44f40dd82
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spelling	oai:doaj.org-article:fada97765a8f4986b55e71c44f40dd822021-12-02T16:15:06ZLong range correlations and slow time scales in a boundary driven granular model10.1038/s41598-021-93091-12045-2322https://doaj.org/article/fada97765a8f4986b55e71c44f40dd822021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-93091-1https://doaj.org/toc/2045-2322Abstract We consider a velocity field with linear viscous interactions defined on a one dimensional lattice. Brownian baths with different parameters can be coupled to the boundary sites and to the bulk sites, determining different kinds of non-equilibrium steady states or free-cooling dynamics. Analytical results for spatial and temporal correlations are provided by analytical diagonalisation of the system’s equations in the infinite size limit. We demonstrate that spatial correlations are scale-free and time-scales become exceedingly long when the system is driven only at the boundaries. On the contrary, in the case a bath is coupled to the bulk sites too, an exponential correlation decay is found with a finite characteristic length. This is also true in the free cooling regime, but in this case the correlation length grows diffusively in time. We discuss the crucial role of boundary driving for long-range correlations and slow time-scales, proposing an analogy between this simplified dynamical model and dense vibro-fluidized granular materials. Several generalizations and connections with the statistical physics of active matter are also suggested.Andrea PlatiAndrea PuglisiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Andrea Plati Andrea Puglisi Long range correlations and slow time scales in a boundary driven granular model
description	Abstract We consider a velocity field with linear viscous interactions defined on a one dimensional lattice. Brownian baths with different parameters can be coupled to the boundary sites and to the bulk sites, determining different kinds of non-equilibrium steady states or free-cooling dynamics. Analytical results for spatial and temporal correlations are provided by analytical diagonalisation of the system’s equations in the infinite size limit. We demonstrate that spatial correlations are scale-free and time-scales become exceedingly long when the system is driven only at the boundaries. On the contrary, in the case a bath is coupled to the bulk sites too, an exponential correlation decay is found with a finite characteristic length. This is also true in the free cooling regime, but in this case the correlation length grows diffusively in time. We discuss the crucial role of boundary driving for long-range correlations and slow time-scales, proposing an analogy between this simplified dynamical model and dense vibro-fluidized granular materials. Several generalizations and connections with the statistical physics of active matter are also suggested.
format	article
author	Andrea Plati Andrea Puglisi
author_facet	Andrea Plati Andrea Puglisi
author_sort	Andrea Plati
title	Long range correlations and slow time scales in a boundary driven granular model
title_short	Long range correlations and slow time scales in a boundary driven granular model
title_full	Long range correlations and slow time scales in a boundary driven granular model
title_fullStr	Long range correlations and slow time scales in a boundary driven granular model
title_full_unstemmed	Long range correlations and slow time scales in a boundary driven granular model
title_sort	long range correlations and slow time scales in a boundary driven granular model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/fada97765a8f4986b55e71c44f40dd82
work_keys_str_mv	AT andreaplati longrangecorrelationsandslowtimescalesinaboundarydrivengranularmodel AT andreapuglisi longrangecorrelationsandslowtimescalesinaboundarydrivengranularmodel
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Long range correlations and slow time scales in a boundary driven granular model

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