Statistical complexity without explicit reference to underlying probabilities

TL;DR

This paper introduces a new way to measure statistical complexity in simple, non-interacting particle systems without relying on probability, demonstrating that such systems can be both thermally stable and complex.

Contribution

It extends the concept of statistical complexity to configurations of particles without using probabilities, providing a novel perspective on system complexity.

Findings

Simple particle systems can be thermally stable and complex

Statistical complexity can be defined without explicit probabilities

Configurational properties reveal complexity in simple systems

Abstract

We show that extremely simple systems of a not too large number of particles can be simultane- ously thermally stable and complex. To such an end, we extend the statistical complexity's notion to simple configurations of non-interacting particles, without appeal to probabilities, and discuss configurational properties.