Critical exponents and the universality class of a minesweeper percolation model

Yuqi Qing, Wen-Long You and Maoxin Liu
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Yuqi Qing: State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China2School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
Wen-Long You: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China4School of Physical Science and Technology, Soochow University, Suzhou, Jiangsu 215006, China
Maoxin Liu: State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China2School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 09, 1-9

Abstract: We introduce a minesweeper percolation model, in which the system configuration is obtained via an automatic minesweeper process. For a variety of candidate networks with different lattice configurations, our process gives rise to a second-order phase transition. Using Monte Carlo simulation, we identify the critical points implied by giant components. A set of critical exponents are extracted to characterize the nature of the minesweeper percolation transition. The determined universality class shows a clear difference from the traditional percolation transition. A proper mine density of the minesweeper game should be set around the critical density.

Keywords: Percolation theory; critical phenomenon; finite-size scaling; universality class (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120501296

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