Evolution of energy density fluctuations in the presence of a magnetic field

TL;DR

This paper investigates how a static magnetic field influences the evolution of energy density fluctuations by numerically solving the relativistic Boltzmann-Vlasov equation, revealing increased damping and altered fluctuation behavior.

Contribution

It introduces a numerical analysis of energy density fluctuation evolution under magnetic fields using the Boltzmann-Vlasov framework, highlighting magnetic effects on damping.

Findings

Magnetic field increases damping of fluctuation modes.

Magnetic field causes qualitative changes in fluctuation behavior.

Altered fluctuation dynamics at local equilibrium timescales.

Abstract

In this proceeding, we study the evolution of energy density fluctuations in the presence of a static and uniform magnetic field. By numerically solving the relativistic Boltzmann-Vlasov equation within the relaxation time approximation and performing the momentum mode analysis of different wavelength fluctuations, we show that the magnetic field increases the damping of mode oscillations. This causes a qualitative change in the fluctuations present in the system at the timescale required to achieve a local equilibrium state.