# Axisymmetric equilibria with central current reversal caused by non-parallel plasma flow

## TL;DR

This paper derives analytic solutions for axisymmetric plasma equilibria with arbitrary flow, showing that non-parallel flow components can induce central current reversal while maintaining nested magnetic surfaces.

## Contribution

It introduces a generalized Grad-Shafranov equation solution that accounts for non-parallel plasma flow and demonstrates how such flow can cause central current reversal.

## Key findings

- Non-parallel flow can produce equilibria with central current reversal.
- Solutions include nested and non-nested magnetic surfaces.
- Pressure profiles remain monotonic despite current reversal.

## Abstract

We obtain analytic solutions of a generalised Grad-Shafranov equation describing steady states with incompressible plasma flow of arbitrary direction, toroidal current reversal and either nested or non-nested magnetic surfaces. It turns out that the component of the flow velocity non parallel to the magnetic field can result in normal equilibria with central current-reversal, i.e. equilibria with nested magnetic surfaces and monotonically varying pressure profiles.