Stabilizing Role of Mesoscopic Fluctuations in Spin Systems

TL;DR

This paper explores how mesoscopic fluctuations, despite causing local instabilities, can enhance the overall thermodynamic stability of spin systems, highlighting a counterintuitive stabilizing mechanism.

Contribution

It demonstrates that local dynamic instabilities due to mesoscopic fluctuations can lead to increased global stability in spin models.

Findings

Mesoscopic fluctuations can induce local instabilities.

Local instabilities may contribute to overall system stability.

Illustrations provided through several spin models.

Abstract

The occurrence of mesoscopic fluctuations in statistical systems implies, from the point of view of dynamical theory, the existence of local instabilities. However, the presence of such fluctuations can make a system, as a whole, more stable from the thermodynamic point of view. Thus, in many cases, a local dynamic instability is a requisite for the global thermodynamic stability. This idea is illustrated by several spin models.