# Global scaling of the heat transport in fusion plasmas

## TL;DR

This paper introduces a fractional derivative-based model for heat transport in fusion plasmas, linking heat flux to plasma pressure with a new parameter, and validates it using data from JET and ITER-like plasmas.

## Contribution

The paper proposes a novel fractional derivative model for heat transport in fusion plasmas, providing a global scaling law validated with experimental data.

## Key findings

- Average fractional degree of heat flux, α ≈ 0.8
- Model fits well with experimental data from JET and ITER-like plasmas
- Provides a simple, accurate description of heat transport in fusion plasmas

## Abstract

A global heat flux model based on a fractional derivative of plasma pressure is proposed for the heat transport in fusion plasmas. The degree of the fractional derivative of the heat flux, $\alpha$, is defined through the power balance analysis of the steady state. The model was used to obtain the experimental values of $\alpha$ for a large database of the JET Carbon-wall as well as ITER Like-wall plasmas. The findings show that the average fractional degree of the heat flux over the database for electrons is $\alpha \sim 0.8$, suggesting a global scaling between the net heating and the pressure profile in the JET plasmas. The model is expected to provide an accurate and a simple description of heat transport that can be used in transport studies of fusion plasmas.