# Numerical consideration of quasilinear electron cloud dynamics in plasma

## TL;DR

This paper evaluates numerical schemes for modeling hot electron cloud dynamics in plasma, demonstrating a scheme that accurately captures asymptotic behavior and is suitable for solving initial value problems.

## Contribution

It introduces and validates a finite difference scheme that correctly models quasilinear electron cloud dynamics in plasma, ensuring proper asymptotic behavior.

## Key findings

- The proposed scheme matches analytical solutions in the hydrodynamic limit.
- It effectively models initial value problems for various electron distributions.
- The scheme demonstrates correct asymptotic behavior for plasma electron dynamics.

## Abstract

The dynamics of a hot electron cloud in the solar corona-like plasma based on the numerical solution of kinetic equations of weak turbulence theory is considered. Different finite difference schemes are examined to fit the exact analytical solutions of quasilinear equations in hydrodynamic limit (gas-dynamic solution). It is shown that the scheme suggested demonstrates correct asymptotic behavior and can be employed to solve initial value problems for an arbitrary initial electron distribution function.