On the monotonicity of the critical time in the Constrained-degree percolation model

Charles S. do Amaral, A.P.F. Atman and Bernardo N.B. de Lima

Physica A: Statistical Mechanics and its Applications, 2021, vol. 561, issue C

Abstract: The Constrained-degree percolation model was introduced in de Lima et al. (2020), where it was proven that this model has a non-trivial phase transition on a square lattice. We study the Constrained-degree percolation model on the d-dimensional hypercubic lattice (Zd) and, via numerical simulations, found evidence that the critical time tcd(k) is monotonous not increasing in the constrained k if d=3,4, like it is when d=2. We verify that the lowest constrained value k such that the system exhibits a phase transition is k=3 and that the correlation critical exponent ν for the Constrained-degree percolation model and ordinary Bernoulli percolation are the same.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:561:y:2021:i:c:s0378437120306816

DOI: 10.1016/j.physa.2020.125291

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