Bootstrap and diffusion percolation transitions in three-dimensional lattices

Autor:	Choi, Jeong-Ok, Yu, Unjong
Rok vydání:	2020
Předmět:	Condensed Matter - Statistical Mechanics Physics - Computational Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/ab9010
Popis:	We study the bootstrap and diffusion percolation models in the simple-cubic (sc), body-centered cubic (bcc), and face-centered cubic (fcc) lattices using the Newman-Ziff algorithm. The percolation threshold and critical exponents were calculated through finite-size scaling with high precision in the three lattices. In addition to the continuous and first-order percolation transitions, we found a double transition, which is a continuous transition followed by a discontinuity of the order parameter. We show that the continuous transitions of the bootstrap and diffusion percolation models have the same critical exponents as the classical percolation within error bars and they all belong to the same universality class. Comment: 10 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.11487 Zobrazit plný text záznamu View this record from Arxiv