Fate of the Hybrid Transition of Bootstrap Percolation in Physical Dimension

Tommaso Rizzo
Phys. Rev. Lett. 122, 108301 – Published 12 March 2019
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Abstract

Bootstrap, or k-core, percolation displays on the Bethe lattice a mixed first- and second-order phase transition with both a discontinuous order parameter and diverging critical fluctuations. I apply the recently introduced M-layer technique to study corrections to mean-field theory showing that at all orders in the loop expansion the problem is equivalent to a spinodal with quenched disorder. This implies that the mean-field hybrid transition does not survive in physical dimension. Nevertheless, its critical properties as an avoided transition make it a proxy of the avoided mode-coupling-theory critical point of supercooled liquids.

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  • Received 3 October 2018
  • Revised 4 February 2019

DOI:https://doi.org/10.1103/PhysRevLett.122.108301

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Tommaso Rizzo

  • Institute for Complex System, Consiglio Nazionale delle Ricerche, Università “Sapienza,” Piazzale A. Moro 2, I-00185, Rome, Italy and Dipartimento di Fisica, Università “Sapienza,” Piazzale A. Moro 2, I-00185, Rome, Italy

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Issue

Vol. 122, Iss. 10 — 15 March 2019

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