2021/01/23 by Andrea Plati, Plati, Andrea, Andrea Puglisi +1 · 2 citations
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Granular flow and fluidized beds #Material Dynamics and Properties #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2101.09516
openalex publication_date 2021/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a velocity field with linear viscous interactions defined on a\none dimensional lattice. Brownian baths with different parameters can be\ncoupled to the boundary sites and to the bulk sites, determining different\nkinds of non-equilibrium steady states or free-cooling dynamics. Analytical\nresults for spatial and temporal correlations are provided by analytical\ndiagonalisation of the system's equations in the infinite size limit. We\ndemonstrate that spatial correlations are scale-free and time-scales become\nexceedingly long when the system is driven only at the boundaries. On the\ncontrary, in the case a bath is coupled to the bulk sites too, an exponential\ncorrelation decay is found with a finite characteristic length. This is also\ntrue in the free cooling regime, but in this case the correlation length grows\ndiffusively in time. We discuss the crucial role of boundary driving for\nlong-range correlations and slow time-scales, proposing an analogy between this\nsimplified dynamical model and dense vibro-fluidized granular materials.\nSeveral generalizations and connections with the statistical physics of active\nmatter are also suggested.\n