Turbulence induced collisional velocities and density enhancements: large inertial range results from shell models

TL;DR

This paper uses shell models to analyze turbulence-induced dust grain collisions, revealing slower velocities and modest clustering that could facilitate early planet formation by overcoming growth barriers.

Contribution

It introduces large inertial range shell model simulations to predict dust collision velocities and clustering, advancing understanding of turbulence effects on grain growth.

Findings

Slower typical collisional velocities than previous models

Modest clustering of dust grains reduces bouncing barriers

High velocity collisions still occur, allowing fragmentation

Abstract

To understand the earliest stages of planet formation, it is crucial to be able to predict the rate and the outcome of dust grains collisions, be it sticking and growth, bouncing, or fragmentation. The outcome of such collisions depends on the collision speed, so we need a solid understanding of the rate and velocity distribution of turbulence-induced dust grain collisions. The rate of the collisions depends both on the speed of the collisions and the degree of clustering experienced by the dust grains, which is a known outcome of turbulence. We evolve the motion of dust grains in simulated turbulence, an approach that allows a large turbulent inertial range making it possible to investigate the effect of turbulence on meso-scale grains (millimeter and centimeter). We find three populations of dust grains: one highly clustered, cold and collisionless; one warm; and the third "hot". Our results can be fit by a simple formula, and predict both significantly slower typical collisional velocities for a given turbulent strength than previously considered, and modest effective clustering of the collisional populations, easing difficulties associated with bouncing and fragmentation barriers to dust grain growth. Nonetheless, the rate of high velocity collisions falls off merely exponentially with relative velocity so some mid- or high-velocity collisions will still occur, promising some fragmentation.