Revealing of the simplest mechanisms of a structure formation

TL;DR

This paper investigates the fundamental mechanisms behind structure formation, highlighting self-organized criticality and power-law behaviors in system wiring dynamics influenced by environmental factors.

Contribution

It introduces a model that accounts for environmental influence and demonstrates power-law avalanche processes with a specific exponent, advancing understanding of structure formation mechanisms.

Findings

Power-law distribution with an index close to 1.4 in wiring avalanches

System wiring approximates a Gaussian distribution

System size does not affect the dynamics

Abstract

In this paper, results of investigations of the simplest mechanisms of a structure formation are presented. In frameworks of the suggested model the main attention was focused on such characteristics as wiring of the system, clusters formation, dynamics of the wiring. The idea to take into account an influence of the environment factor is employed in the proposed model. Investigations of systems with such principle of a structure formation reveal that the system's dynamics has typical features of self-organized criticality phenomenon. In the avalanche-like processes, which occur in the wiring dynamics, a power law was found with the index close to 1.4. It is independent on the environment factor (which in a sense can be considered as system parameter). The system wiring is approximated pretty well by the Gaussian distribution. The size of the system does not play any role in the dynamics of the model.