# Dynamics of magnetic flux tubes in accretion discs of T Tauri stars

## TL;DR

This study models the behavior of magnetic flux tubes in T Tauri star accretion discs, revealing oscillation regimes, rise velocities, and potential impacts on disc mass loss and observed variability.

## Contribution

It introduces detailed simulations of magnetic flux tube dynamics including buoyancy, drag, and heat exchange, highlighting new oscillation behaviors and their observational implications.

## Key findings

- MFT oscillate and rise with velocities up to 15 km/s.
- Approximately 20% of disc mass and flux can escape via buoyancy.
- MFT oscillations may explain T Tauri stars' IR variability.

## Abstract

Dynamics of slender magnetic flux tubes (MFT) in the accretion discs of T Tauri stars is investigated. We perform simulations taking into account buoyant, aerodynamic and turbulent drag forces, radiative heat exchange between MFT and ambient gas, magnetic field of the disc. The equations of MFT dynamics are solved using Runge-Kutta method of the fourth order. The simulations show that there are two regimes of MFT motion in absence of external magnetic field. In the region $r<0.2$ au, the MFT of radii $0.05 \leq a_0 \leq 0.16\,H$ ($H$ is the scale height of the disc) with initial plasma beta of 1 experience thermal oscillations above the disc. The oscillations decay over some time, and MFT continue upward motion afterwards. Thinner or thicker MFT do not oscillate. MFT velocity increases with initial radius and magnetic field strength. MFT rise periodically with velocities up to 5-15 km s$^{-1}$ and periods of $0.5-10$ yr determined by the toroidal magnetic field generation time. Approximately 20 % of disc mass and magnetic flux can escape to disc atmosphere via the magnetic buoyancy over characteristic time of disc evolution. MFT dispersal forms expanding magnetized corona of the disc. External magnetic field causes MFT oscillations near the disc surface. These magnetic oscillations have periods from several days to 1-3 months at $r < 0.6$ au. The magnetic oscillations decay over few periods. We simulate MFT dynamics in accretion discs in the Chameleon I cluster. The simulations demonstrate that MFT oscillations can produce observed IR-variability of T Tauri stars.