On the Probability Distribution of Relaxation Length in a Parametric One-Dimensional Tropical Sandpile Model
Year: 2025
Type: article
Abstract: A special case of the one-dimensional tropical sandpile model is introduced, incorporating a parameter that affects the deformation of the hypersurface. We focus on study of relaxation behaviour towards finite stationary points. Particularly, for two stationary points randomly taken from $$[0,1]$$ we derived probability distribution function of relaxation length. Numerical experiments for uniformly distributed stationary points are given and coincide with the theoretical inferences.
Author: Alexander Varypaev
Institution: Bulgarian Academy of Sciences
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413604139