Generalized Magnetofluid Connections in Pair Plasmas

TL;DR

This paper extends the magnetic connection theorem to nonideal relativistic pair plasmas, introducing generalized magnetofluid connections that constrain plasma dynamics and unify electromagnetic and fluid fields.

Contribution

It presents a novel theoretical framework for generalized magnetofluid connections in nonideal relativistic pair plasmas, unifying electromagnetic and fluid effects.

Findings

Generalized connections are preserved by plasma dynamics.

Connections are related to a unifying antisymmetric tensor.

Current inertial effects introduce specific corrections.

Abstract

We extend the magnetic connection theorem of ideal magnetohydrodynamics to nonideal relativistic pair plasmas. Adopting a generalized Ohm's law, we prove the existence of generalized magnetofluid connections that are preserved by the plasma dynamics. We show that these connections are related to a general antisymmetric tensor that unifies the electromagnetic and fluid fields. The generalized magnetofluid connections set important constraints on the plasma dynamics by forbidding transitions between configurations with different magnetofluid connectivity. An approximated solution is explicitly shown where the corrections due to current inertial effects are found.