Dynamic Mechanism of Catastrophic Collapse: An New Perspective on Earthquake Physics

TL;DR

This paper presents a novel perspective on earthquake physics by modeling catastrophic collapse as a subcritical instability that can develop into extreme events through nonlocal interactions and tensor networks.

Contribution

It introduces a new approach using Onsager's reciprocal theorem to analyze subcritical regimes and explains how instabilities evolve into catastrophic events.

Findings

Excitable systems tend toward a maximum entropy state.

Rare tensor network instabilities can propagate from small to large scales.

Most feedback systems are halted by dissipative processes.

Abstract

The collapse of man-made and natural structures is a complex phenomenon that has been studied for centuries. We propose a new approach to understanding catastrophic instabilities, based on the idea that they do not occur at the critical point, but rather develop out of the subcritical regime as short-lived extreme events. We use an extension of Onsager's reciprocal theorem to study the subcritical regime, and we show that excitable systems in this regime are attracted to a nonlocal equilibrium that defines the maximum entropy production of at least two interacting phases. In most cases, these feedback systems are arrested by dissipative processes at larger scale, but in rare cases they can form tensor networks of instabilities that ripple from the small scale to the largest scale, forming extreme events.