Anankeon theory and viscosity of liquids: a toy model

TL;DR

This paper introduces a simplified anankeon-based model to predict liquid viscosity, capturing differences between strong and fragile liquids and their behavior near the glass transition, akin to a mechanical analog of the Drude model.

Contribution

It presents a novel toy model based on anankeons to predict viscosity and distinguish liquid types, offering insights into glass transition phenomena.

Findings

Differentiates strong and fragile liquids

Predicts rapid viscosity change near glass transition

Provides a mechanical analog to electronic transport models

Abstract

A simplistic model, based on the concept of anankeon, is proposed to predict the value of the viscosity of a material in its liquid phase. As a result, within the simplifications and hypothesis made to define the model, it is possible to predict (a) the existence of a difference between strong and fragile liquids, (b) a fast variation of the viscosity near the glass transition temperature for fragile liquids. The model is a mechanical analog of the Drude model for the electric transport in metal.