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Jamming as a random first-order percolation transition

Antonio Piscitelli, Antonio Coniglio, Annalisa Fierro and Massimo Pica Ciamarra

Physica A: Statistical Mechanics and its Applications, 2021, vol. 569, issue C

Abstract: We determine the dimensional dependence of the percolative exponents of the jamming transition via numerical simulations in four and five spatial dimensions. These novel results complement literature ones, and establish jamming as a mixed first-order percolation transition, with critical exponents β=0, γ=2, α=0 and the finite size scaling exponent ν∗=2∕d for values of the spatial dimension d≥2. We argue that the upper critical dimension is du=2 and the connectedness length exponent is ν=1.

Keywords: Jamming; Percolation; Phase transition (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:569:y:2021:i:c:s0378437121000686

DOI: 10.1016/j.physa.2021.125796

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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