Computation of Growth Rates and Threshold of the Electromagnetic Electron Temperature Gradient Modes in Tokamaks

TL;DR

This paper introduces numerical methods using Hermite and Sinc differentiation matrices to accurately compute growth rates and thresholds of ETG and ITG modes in tokamaks, with potential applications to other modes.

Contribution

It presents novel numerical techniques for eigenvalue computation of plasma modes, improving accuracy and efficiency over existing methods.

Findings

Accurate eigenvalues for ETG and ITG modes were computed.

The methods effectively determine growth rates and thresholds.

Results are relevant to other modes using Ballooning formalism.

Abstract

In this manuscript, eigenvalues of the Electron Temperature Gradient (ETG) modes and Ion Temperature Gradient (ITG) modes are determined numerically using Hermite and Sinc differentiation matrices based methods. It is shown that these methods are very useful for the computation of growth rates and threshold of the ETG and ITG modes. The total number of accurately computed eigenvalues for the modes have also been computed. The ideas developed here are also of relevance to other modes that use Ballooning formalism.