Characterisation of diffusion-driven self-organisation of rodlike particles by means of entropy of generalised two-dimensional words

TL;DR

This paper investigates how entropy measures can characterize the self-organization of rodlike particles in dense two-dimensional vibrated systems, combining experimental insights with a novel entropy calculation method for discrete particle arrangements.

Contribution

It introduces a new entropy-based technique to analyze the self-organization of rectangular particles with two orientations in a 2D discrete space, linking entropy changes to particle dynamics.

Findings

Entropy characteristics change during particle random walk

The method captures pattern formation in dense particle systems

Entropy analysis correlates with self-organization phenomena

Abstract

The experiments conducted by various scientific groups indicate that, in dense two-dimensional systems of elongated particles subjected to vibration, the pattern formation is possible. Computer simulations have evidenced that the random walk of rectangular particles in a discrete two-dimensional space can lead to their self-organisation. We propose a technique for calculating the entropy characteristics of a two-dimensional system in a discrete two-dimensional space consisting of rectangular particles of two mutually perpendicular orientations, and a change in these characteristics for a random walk of particles is investigated.