# Modified plasma waves described by a logarithmic electrodynamics

## TL;DR

This paper explores how a new logarithmic electrodynamics model modifies plasma wave behavior, affecting wave modes, frequencies, and propagation characteristics in magnetized plasma, with potential implications for strong magnetic field environments.

## Contribution

It introduces a novel logarithmic electrodynamics framework and analyzes its impact on plasma wave modes and dispersion relations, extending understanding of non-linear electromagnetic effects in plasma physics.

## Key findings

- Modified Trivelpiece-Gould modes due to logarithmic electrodynamics
- Altered plasma and upper-hybrid frequencies
- Changes in the forbidden frequency bands of extraordinary modes

## Abstract

The propagation of plasma waves in a new non-linear, logarithmic electrodynamics model is performed. A cold, uniform, collisionless fluid plasma model is applied. Electrostatic waves in magnetized plasma are shown to correspond to modified Trivelpiece-Gould modes, together with changes of the plasma and upper-hybrid frequencies, driven by the logarithmic electrodynamics effects. Electromagnetic waves are described by a generalized Appleton-Hartree dispersion relation. The cases of propagation parallel or perpendicular to the equilibrium magnetic field are analyzed in detail. In particular, generalized ordinary and extraordinary modes are obtained. We determine the changes, due to logarithmic electrodynamics, in the allowable and forbidden frequency bands of the new extraordinary mode. Estimates are provided about the strength of the ambient magnetic field, so that the non-linear electrodynamics effects become decisive.