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Table 1
A list of the parameters used in this work.
| Parameter | Nominal value in this work | Description |
|
|
||
| Δ | The separation of the planets, in units of their mutual Hill’s radii | |
| δ achaos | The radial extent of the chaotic zone in units of the planet’s semi-major axis | |
| ρ | 2700 kg m-3 | The density of the individual particles in the outer belt |
| ai | The initial semi-major axis of a particle, before it is scattered by a planet | |
| apl | The planet’s semi-major axis | |
| apl,out | rbelt,in − δachaos | The outer planet’s semi-major axis |
| amin |
|
The minimum initial semi-major axis of test particles in this simulations |
| amax | apl,out + 2δachaos | The maximum initial semi-major axis of test particles in this simulations |
| afill | 5 AU | Planets are placed between this radius and the outer belt. |
| Dmax | 60 km | The size of the largest body in the outer disc |
| dr |
|
The width of the outer belt |
| emax | 0.1 | The maximum initial eccentricity of test particles in this simulations |
| ei | The eccentricity of a particle before it is scattered by the planet | |
| Fdisc | The disc flux | |
| Fdisc | The stellar flux | |
| ⟨ e ⟩ | 0.05 | The average eccentricity of particles in the outer belt |
| Imax | 10° | The maximum initial inclination of test particles in this simulations |
| M∗ | 1 M⊙ unless otherwise specified | the stellar mass |
| Mdet | The minimum mass of a planetesimal belt such that it can be detected | |
| Mmax | The maximum mass of a collisionally evolving planetesimal belt | |
| Mpart | The fraction of the total outer belt mass assigned to each test particle | |
| Mpl | The planet mass | |
| Npp | The number of particles used in the simulation | |
|
150 J kg-1 | The dispersal threshold |
| qmin | The minimum pericentre of a particle, with a Tisserand parameter of Ti, | |
| scattered by a single planet on a circular orbit | ||
| RH | Hill’s radii | |
| r | The central radius of the outer belt | |
| rbelt,in | apl,out + δachaos | The inner radius of the outer belt. |
| rbelt,out |
|
The outer radius of the outer belt. |
| rzodi | 1 AU | The position of the exozodi, or the inner radial limit within which most |
| scattered material will go on to produce an exozodi | ||
| rmax | 10 or 100 AU | The distance outside of which particles are considered removed from the simulations |
| rmin | The minimum radius of a planetesimal belt in order that a given mass of material can survive | |
| against collisions for the age of the system | ||
| rbelt,min | The minimum radius required by a planetesimal belt such that it can scatter material inwards at | |
| a sufficiently high rate to retain the observed levels of exozodiacal dust | ||
| Ti | The initial value of the Tisserand parameter | |
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