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Abstract: Recent experimental and computational studies of vibrated thin layers ofidentical spheres have shown transitions to ordered phases similar to thoseseen in equilibrium systems. Motivated by these results, we carry outsimulations of hard inelastic spheres forced by homogenous white noise. We finda transition to an ordered state of the same symmetry as that seen in theexperiments, but the clear phase separation observed in the vibrated system isabsent. Simulations of purely elastic spheres also show no evidence for phaseseparation. We show that the energy injection in the vibrated system isdramatically different in the different phases, and suggest that this createsan effective surface tension not present in the equilibrium or randomly forcedsystems. We do find, however, that inelasticity suppresses the onset of theordered phase with random forcing, as is observed in the vibrating system, andthat the amount of the suppression is proportional to the degree ofinelasticity. The suppression depends on the details of the energy injectionmechanism, but is completely eliminated when inelastic collisions are replacedby uniform system-wide energy dissipation.



Autor: Alexander E. Lobkovsky, Francisco Vega Reyes, J. S. Urbach

Fuente: https://arxiv.org/







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