The Effects of Thermal Conduction on the ADAF with a Toroidal Magnetic Field

TL;DR

This paper investigates how thermal conduction, influenced by a toroidal magnetic field, affects the structure of advection-dominated accretion flows around compact objects, providing self-similar solutions for different accretion rates.

Contribution

It introduces self-similar solutions for hot ADAF accretion disks considering thermal conduction and magnetic fields, highlighting different behaviors at varying conduction levels.

Findings

Two types of solutions for high and low accretion rates.

Accretion flow structures depend on the thermal conduction parameter.

Thermal conduction significantly influences the disk dynamics.

Abstract

The observation of the hot gas surrounding Sgr $A^*$ and a few other nearby galactic nuclei imply that electron and proton mean free paths are comparable to the gas capture radius. So, the hot accretion flows is likely to proceed under week-collision conditions. Hence, thermal conduction has been suggested as a possible mechanism by which the sufficient extra heating is provided in hot ADAF accretion disks. We consider the effects of thermal conduction in the presence of a toroidal magnetic field in an advection-dominated accretion flow around a compact object. For a steady-state structure of such accretion flows a set of self-similar solutions are presented. We find two types solutions which represent high and slow accretion rate. They have different behaviors with saturated thermal conduction parameter, $\phi$.