Table 1.

Properties of a low-mass PP disc at three different radii. Here Σ is surface density, lph is photon mean path, and τ is the cooling rate for lengthscales less than lph. Here |$\lambda ^{\rm plat}_{\rm VSI}$| denotes the lengthscale below which the VSI achieves its maximum value (in the diffusion approximation). On lengthscales less than lph, however, the VSI can grow at its maximum level if τΩ ≪ 5 × 10−2.

Radius1 au10 au100 au
Σ/(gcm−2)140141.4
lph/H10−410−2>1
τΩ10−4≲ 10−310−2
|$\lambda ^{\rm plat}_{\rm VSI} / H$|3 × 10−2≲ 1∼1
Radius1 au10 au100 au
Σ/(gcm−2)140141.4
lph/H10−410−2>1
τΩ10−4≲ 10−310−2
|$\lambda ^{\rm plat}_{\rm VSI} / H$|3 × 10−2≲ 1∼1
Table 1.

Properties of a low-mass PP disc at three different radii. Here Σ is surface density, lph is photon mean path, and τ is the cooling rate for lengthscales less than lph. Here |$\lambda ^{\rm plat}_{\rm VSI}$| denotes the lengthscale below which the VSI achieves its maximum value (in the diffusion approximation). On lengthscales less than lph, however, the VSI can grow at its maximum level if τΩ ≪ 5 × 10−2.

Radius1 au10 au100 au
Σ/(gcm−2)140141.4
lph/H10−410−2>1
τΩ10−4≲ 10−310−2
|$\lambda ^{\rm plat}_{\rm VSI} / H$|3 × 10−2≲ 1∼1
Radius1 au10 au100 au
Σ/(gcm−2)140141.4
lph/H10−410−2>1
τΩ10−4≲ 10−310−2
|$\lambda ^{\rm plat}_{\rm VSI} / H$|3 × 10−2≲ 1∼1
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