Open AccessFractal-like frontier structure of avalanches in a sandpile model
Author(s) -
A. G. Buzykin,
Юрий Александрович Кузнецов,
A N Ipatov,
Д. А. Паршин
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1697/1/012089
Subject(s) - abelian sandpile model , fractal , statistical physics , criticality , self organized criticality , simple (philosophy) , process (computing) , physics , computer science , mathematics , mathematical analysis , philosophy , epistemology , nuclear physics , operating system
The self-organized criticality (SOC) phenomena for dynamical systems with spatial degrees of freedom is commonly observed in application to different aspects of natural sciences. In our study we also consider our sandpile model as such a system. Since the first mention in 1987, a sandpile model, which is a common example of spatiotemporal evolution, became widely applied for avalanche-like processes. With a simple computer simulation we show that an avalanche as a result of natural system evolution has a fractal border structure, and approves SOC phenomena of a sandpile model. We also demonstrate Gutenberg-Richter dependence for avalanche process in a sandpile model.