Outgoing radiation from an isolated collisionless plasma

TL;DR

This paper studies the behavior of outgoing radiation in an isolated collisionless plasma described by the relativistic Vlasov-Maxwell system, showing energy dissipation analogous to the Bondi mass in general relativity.

Contribution

It establishes the asymptotic properties of solutions for small data and introduces a plasma analogue of the Bondi mass that decreases due to outgoing radiation.

Findings

Energy in the plasma decreases over time due to outgoing radiation.

A non-negative quantity analogous to Bondi mass decreases, indicating energy dissipation.

Solutions exhibit specific asymptotic behavior at future null infinity.

Abstract

The asymptotic properties at future null infinity of the solutions of the relativistic Vlasov-Maxwell system whose global existence for small data has been established by the author in a previous work are investigated. These solutions describe a collisionless plasma isolated from incoming radiation. It is shown that a non-negative quantity associated to the plasma decreases as a consequence of the dissipation of energy in form of outgoing radiation. This quantity represents the analogue of the Bondi mass in general relativity.