Antiferromagnetic effects in Chaotic Map lattices with a conservation law

TL;DR

This paper investigates how conservation laws in coupled chaotic map lattices induce antiferromagnetic interactions, leading to phase transitions and similarities with statistical spin models.

Contribution

It demonstrates that conservation constraints cause antiferromagnetic effects and phase transitions in coupled map lattices, connecting these dynamics to statistical spin models.

Findings

Conservation law induces antiferromagnetic couplings.

Transitions to antiferromagnetic and superantiferromagnetic phases occur.

Models show similarities to statistical spin systems.

Abstract

Some results about phase separation in coupled map lattices satisfying a conservation law are presented. It is shown that this constraint is the origin of interesting antiferromagnetic effective couplings and allows transitions to antiferromagnetic and superantiferromagnetic phases. Similarities and differences between this models and statistical spin models are pointed out.