# The role of particle, energy and momentum losses in 1D simulations of divertor detachment

## TL;DR

This paper introduces a new 1D divertor plasma simulation code, SD1D, to analyze the roles of recombination, radiation, and momentum exchange in plasma detachment, revealing that radiative power losses are crucial for detachment and identifying thresholds for plasma state transitions.

## Contribution

The study develops a novel analytical framework and simulation approach to understand the complex physics of divertor detachment, emphasizing the importance of radiative power losses and momentum exchange.

## Key findings

- Radiative power losses are essential for reducing target ion flux.
- Recombination plays a minor role at flux rollover but becomes significant at very low temperatures.
- Detachment thresholds depend on energy cost gradients and pressure-to-power flux ratios.

## Abstract

A new 1D divertor plasma code, SD1D, has been used to examine the role of recombination, radiation, and momentum exchange in detachment. Neither momentum or power losses by themselves are found to be sufficient to produce a reduction in target ion flux in detachment (flux rollover); radiative power losses are required to a) limit and reduce the ionization source and b) access low-target temperature, T_target, conditions for volumetric momentum losses. Recombination is found to play little role at flux rollover, but as T_target drops to temperatures around 1eV, it becomes a strong ion sink. In the case where radiative losses are dominated by hydrogen, the detachment threshold is identified as a minimum gradient of the energy cost per ionisation with respect to T_target. This is also linked to thresholds in T_target and in the ratio of upstream pressure to power flux. A system of determining the detached condition is developed such that the divertor solution at a given T_target (or lack of one) is determined by the simultaneous solution of two equations for target ion current - one dependent on power losses and the other on momentum. Depending on the detailed momentum and power loss dependence on temperature there are regions of T_target where there is no solution and the plasma 'jumps' from high to low T_target states. The novel analysis methods developed here provide an intuitive way to understand complex detachment phenomena, and can potentially be used to predict how changes in the seeding impurity used or recycling aspects of the divertor can be utilised to modify the development of detachment.