Dual strings and magnetohydrodynamics

TL;DR

This paper explores the potential of dual string solutions to model large-scale magnetic flux tube dynamics in magnetohydrodynamics, connecting string theory concepts with plasma physics and confinement phenomena.

Contribution

It demonstrates that dual string equations can satisfy MHD equations and offers a new perspective on magnetic flux tube motion and confinement through a string-theoretic approach.

Findings

Dual strings satisfy the induction equation in MHD.

Dual string equations can describe magnetic flux tube dynamics.

Inclusion of magnetic monopoles suggests a link to electrohydrodynamics.

Abstract

We investigate whether dual strings could be solutions of the magnetohydrodynamics equations in the limit of infinite conductivity. We find that the induction equation is satisfied, and we discuss the Navier-Stokes equation (without viscosity) with the Lorentz force included. We argue that the dual string equations (with a non-universal maximum velocity) should describe the large scale motion of narrow magnetic flux tubes, because of a large reparametrization (gauge) invariance of the magnetic and electric string fields. It is shown that the energy-momentum tensor for the dual string can be reinterpreted as an energy-momentum tensor for magnetohydrodynamics, provided certain conditions are satisfied. We also give a brief discussion of the case when magnetic monopoles are included, and indicate how this can lead to a non-relativistic "electrohydrodynamics" picture of confinement.