Breaking universality in random sequential adsorption on a square lattice with long-range correlated defects

Sumanta Kundu and Dipanjan Mandal
Phys. Rev. E 103, 042134 – Published 26 April 2021

Abstract

Jamming and percolation transitions in the standard random sequential adsorption of particles on regular lattices are characterized by a universal set of critical exponents. The universality class is preserved even in the presence of randomly distributed defective sites that are forbidden for particle deposition. However, using large-scale Monte Carlo simulations by depositing dimers on the square lattice and employing finite-size scaling, we provide evidence that the system does not exhibit such well-known universal features when the defects have spatial long-range (power-law) correlations. The critical exponents νj and ν associated with the jamming and percolation transitions, respectively, are found to be nonuniversal for strong spatial correlations and approach systematically their own universal values as the correlation strength is decreased. More crucially, we have found a difference in the values of the percolation correlation length exponent ν for a small but finite density of defects with strong spatial correlations. Furthermore, for a fixed defect density, it is found that the percolation threshold of the system, at which the largest cluster of absorbed dimers first establishes the global connectivity, gets reduced with increasing the strength of the spatial correlation.

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  • Received 12 February 2021
  • Accepted 7 April 2021

DOI:https://doi.org/10.1103/PhysRevE.103.042134

©2021 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Sumanta Kundu1,* and Dipanjan Mandal2,†

  • 1Department of Earth and Space Science, Osaka University, 560-0043 Osaka, Japan
  • 2Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom

  • *sumanta@spin.ess.sci.osaka-u.ac.jp
  • dipanjan.mandal@warwick.ac.uk

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Vol. 103, Iss. 4 — April 2021

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