# The interplay of the collisionless nonlinear thin-shell instability with the ion acoustic instability

## TL;DR

This study investigates how the collisionless nonlinear thin-shell instability interacts with ion acoustic instability in plasma, revealing that ion acoustic waves limit the NTSI's growth and that collisions can overcome this limit.

## Contribution

It demonstrates the impact of ion acoustic instability on the collisionless NTSI and suggests that collisions can extend the instability's wavelength range.

## Key findings

- Increasing seed wavelength reduces NTSI growth rate.
- Ion acoustic instability limits the maximum destabilized wavelength.
- Binary collisions can overcome the ion acoustic limit.

## Abstract

The nonlinear thin-shell instability (NTSI) may explain some of the turbulent hydrodynamic structures that are observed close to the collision boundary of energetic astrophysical outflows. It develops in nonplanar shells that are bounded on either side by a hydrodynamic shock, provided that the amplitude of the seed oscillations is sufficiently large. The hydrodynamic NTSI has a microscopic counterpart in collisionless plasma. A sinusoidal displacement of a thin shell, which is formed by the collision of two clouds of unmagnetized electrons and protons, grows and saturates on timescales of the order of the inverse proton plasma frequency. Here we increase the wavelength of the seed perturbation by a factor 4 compared to that in a previous study. Like in the case of the hydrodynamic NTSI, the increase in the wavelength reduces the growth rate of the microscopic NTSI. The prolonged growth time of the microscopic NTSI allows the waves, which are driven by the competing ion acoustic instability, to grow to a large amplitude before the NTSI saturates and they disrupt the latter. The ion acoustic instability thus imposes a limit on the largest wavelength that can be destabilized by the NTSI in collisionless plasma. The limit can be overcome by binary collisions. We bring forward evidence for an overstability of the collisionless NTSI.