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Table D.1
Frequently used parameters with a brief description.
| Parameter | Description |
|---|---|
| RH | Hill radius of the core |
| Mt | Total core mass |
| M⋆ | Mass of the star |
| r0 | Radial distance from the central star |
| fg | Gravitational acceleration of the pebble swarm |
| Mencl | Enclosed mass inside the pebble swarm |
| G | Universal gravity constant |
| rp | Distance of pebble swarm from center of mass |
| fd | Gas drag |
| ts | Stopping time of a pebble |
| vp | Speed/velocity of a pebble swarm |
| ρ• | Internal density of pebbles and core |
| s | Radius of a physical pebble |
| ρg | Gas density |
| vth | Thermal speed of the gas |
| lmfp | Mean free path gas molecules |
| ηd | Kinematic viscosity of the gas |
| kb | Boltzmann constant |
| T | Gas temperature |
 |
Mean molecular mass |
| H | Gas scaleheight |
| cs | Local sound speed of the gas |
| Ω0 | Keplerian frequency |
| St | Pebble Stokes number |
| R | Total collision rate in a zone |
| Rik | Collision rate between pebble swarm i and k in a zone |
| Ni | Physical amount of pebbles represented by swarm i |
| σik | Cross-section of pebble i and k combined |
| Δv | Relative speed between two pebbles |
| mp | Physical mass of a pebble |
| Stmin∕max | Minimum and maximum Stokes number in simulation respectively |
| U | Random number between 0 and 1 |
| δtc | Time step needed to resolve collisions |
| δtEOM | Timestep needed for advection |
| (r, θ, ϕ) | Spherical coordinates |
| Mswarm | Physical mass represented by one pebble swarm |
| K | Kinetic energy of the cloud |
| racc | Accretion radius of the core |
| U | Potential energy of the cloud |
| Nsett | Total amount of settled pebble swarms |
| Rc | Radius of the core at solid density |
| tol | Error tolerance advection solver |
| Ñ | Average amount of collisions per pebble swarm |
| τin | Optical depth of inner one percent of cloud mass |
| vt,* | Critical terminal velocity for which τin > 1 |
| tt | Fall time of a pebble (swarm) |
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