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arXiv · 2310.05048

Universal discontinuous percolation transition in the Earth's terrestrial topography

Shengjie Hu·Zhenlei Yang·Zipeng Wang·Sergio Andres Galindo Torres·Ling Li
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Abstract

Based on the Topographic Wetness Index (TWI), we studied the percolation process of water on the Earth's land surface and discovered a universal discontinuous phase transition across scales, with a critical TWI threshold of 0.671 (0.054). The discontinuity is attributed to the long-range correlation and directionality of the percolation process. Furthermore, the criticality is shown to extend from the critical point to a region corresponding to the Griffiths phase, where natural lake systems are found to develop, indicating the governess of self-organized criticality within the Earth system.

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Shengjie Hu, Zhenlei Yang, Zipeng Wang, Sergio Andres Galindo Torres, Ling Li. 2023-10-08. Universal discontinuous percolation transition in the Earth's terrestrial topography. https://arxiv.org/abs/2310.05048

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