Quantifying Disorder in Point Patterns

TL;DR

This paper introduces a complexity-based statistic to quantify disorder in point patterns, focusing on modeling challenges and simulation of jammed and high-intensity hard-core patterns.

Contribution

It proposes a novel complexity measure for disorder quantification, emphasizing practical modeling difficulties over geometric attributes.

Findings

Complexity-based statistic effectively measures disorder.

Highlights modeling and simulation challenges for jammed patterns.

Facilitates assessment of model fit for high-intensity patterns.

Abstract

Disorder in point patterns can be quantified by means of the complexity, rather than in terms of geometric attributes of pattern structure. A complexity-based disorder-quantifying statistic indicates the practical difficulties associated with modeling processes that produce jammed patterns, particularly with the assessment of model fit and with the simulation of high-intensity hard-core patterns.