Table 1.
Open in new tab

Definitions of acronyms and mathematical symbols.

Acronyms
H ii regionH iiR–
Ionization frontIF–
Centre of curvature of IFCOC–
Shock frontSF–
Swept-up ringSUR–
Configuration parameters and fiducial values
Half-thickness of layer|$Z_{_{\rm LAYER}}$||$Z_{_{0.1}}\times \left[0.1\, {\rm pc}\right]$|
Density of H2 in layer|$n_{_{\rm LAYER}}$||$n_{_4}\times \left[10^4\, \rm {cm}^{-3}\right]$|
Output of ionizing photons|$\dot{\cal N}_{_{\rm LyC}}$||$\dot{\cal N}_{_{49}}\, \times \left[10^{49}\, \rm {s}^{-1}\right]$|
Effective sound speed in layer|$c_{_{\rm LAYER}}$||$0.31\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Effective sound speed in SUR|$c_{_{\rm SUR}}$||$0.44\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Fixed parameters and values
Temperature in ionized gas|$T_{_{\rm II}}$||$10^4\, {\rm K}$|
Sound speed in ionized gas|$c_{_{\rm II}}$||$15\, {\rm km\, s^{-1}}$|
Case B recombination coeff.|$\alpha _{_{\rm B}}$||$2.7\!\times \!10^{-13}\,\rm {cm^3\,s^{-1}}$|
Dependent variables
Distance from O star to IF|$W_{_{\rm IF}}(t)$| –
Distance from O star to SF|$W_{_{\rm SF}}(t)$| –
Thickness of SUR|$\Delta W_{_{\rm SUR}}(t)$| –
Density of protons at IF|$n_{_{\rm IF}}(t)$| –
Density of protons in H iiR|$n_{_{\rm II}}(r,t)$| –
Density of H2 in SUR|$n_{_{\rm SUR}}(t)$| –
Bulk velocity in SUR|$\upsilon _{_{\rm SUR}}(t)$| –
Mass of SUR|$M_{_{\rm SUR}}(t)$| –
Independent variables
Time since O star switch-ont –
Radial distance from COCr –
Distance along symmetry axisz –
Distance from symmetry axisw[x2 + y2]1/2
Dimensionless variables
Dimensionless tτ|$c_{_{\rm LAYER}}t/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm IF}}(t)$||$\xi _{_{\rm IF}}(\tau)$||$W_{_{\rm IF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm SF}}(t)$||$\xi _{_{\rm SF}}(\tau)$||$W_{_{\rm SF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$\Delta W_{_{\rm SUR}}(t)$||$\delta _{_{\rm SUR}}(\tau)$||$\Delta W_{_{\rm SUR}}(t)/Z_{_{\rm LAYER}}$|
Acronyms
H ii regionH iiR–
Ionization frontIF–
Centre of curvature of IFCOC–
Shock frontSF–
Swept-up ringSUR–
Configuration parameters and fiducial values
Half-thickness of layer|$Z_{_{\rm LAYER}}$||$Z_{_{0.1}}\times \left[0.1\, {\rm pc}\right]$|
Density of H2 in layer|$n_{_{\rm LAYER}}$||$n_{_4}\times \left[10^4\, \rm {cm}^{-3}\right]$|
Output of ionizing photons|$\dot{\cal N}_{_{\rm LyC}}$||$\dot{\cal N}_{_{49}}\, \times \left[10^{49}\, \rm {s}^{-1}\right]$|
Effective sound speed in layer|$c_{_{\rm LAYER}}$||$0.31\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Effective sound speed in SUR|$c_{_{\rm SUR}}$||$0.44\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Fixed parameters and values
Temperature in ionized gas|$T_{_{\rm II}}$||$10^4\, {\rm K}$|
Sound speed in ionized gas|$c_{_{\rm II}}$||$15\, {\rm km\, s^{-1}}$|
Case B recombination coeff.|$\alpha _{_{\rm B}}$||$2.7\!\times \!10^{-13}\,\rm {cm^3\,s^{-1}}$|
Dependent variables
Distance from O star to IF|$W_{_{\rm IF}}(t)$| –
Distance from O star to SF|$W_{_{\rm SF}}(t)$| –
Thickness of SUR|$\Delta W_{_{\rm SUR}}(t)$| –
Density of protons at IF|$n_{_{\rm IF}}(t)$| –
Density of protons in H iiR|$n_{_{\rm II}}(r,t)$| –
Density of H2 in SUR|$n_{_{\rm SUR}}(t)$| –
Bulk velocity in SUR|$\upsilon _{_{\rm SUR}}(t)$| –
Mass of SUR|$M_{_{\rm SUR}}(t)$| –
Independent variables
Time since O star switch-ont –
Radial distance from COCr –
Distance along symmetry axisz –
Distance from symmetry axisw[x2 + y2]1/2
Dimensionless variables
Dimensionless tτ|$c_{_{\rm LAYER}}t/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm IF}}(t)$||$\xi _{_{\rm IF}}(\tau)$||$W_{_{\rm IF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm SF}}(t)$||$\xi _{_{\rm SF}}(\tau)$||$W_{_{\rm SF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$\Delta W_{_{\rm SUR}}(t)$||$\delta _{_{\rm SUR}}(\tau)$||$\Delta W_{_{\rm SUR}}(t)/Z_{_{\rm LAYER}}$|
Table 1.
Open in new tab

Definitions of acronyms and mathematical symbols.

Acronyms
H ii regionH iiR–
Ionization frontIF–
Centre of curvature of IFCOC–
Shock frontSF–
Swept-up ringSUR–
Configuration parameters and fiducial values
Half-thickness of layer|$Z_{_{\rm LAYER}}$||$Z_{_{0.1}}\times \left[0.1\, {\rm pc}\right]$|
Density of H2 in layer|$n_{_{\rm LAYER}}$||$n_{_4}\times \left[10^4\, \rm {cm}^{-3}\right]$|
Output of ionizing photons|$\dot{\cal N}_{_{\rm LyC}}$||$\dot{\cal N}_{_{49}}\, \times \left[10^{49}\, \rm {s}^{-1}\right]$|
Effective sound speed in layer|$c_{_{\rm LAYER}}$||$0.31\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Effective sound speed in SUR|$c_{_{\rm SUR}}$||$0.44\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Fixed parameters and values
Temperature in ionized gas|$T_{_{\rm II}}$||$10^4\, {\rm K}$|
Sound speed in ionized gas|$c_{_{\rm II}}$||$15\, {\rm km\, s^{-1}}$|
Case B recombination coeff.|$\alpha _{_{\rm B}}$||$2.7\!\times \!10^{-13}\,\rm {cm^3\,s^{-1}}$|
Dependent variables
Distance from O star to IF|$W_{_{\rm IF}}(t)$| –
Distance from O star to SF|$W_{_{\rm SF}}(t)$| –
Thickness of SUR|$\Delta W_{_{\rm SUR}}(t)$| –
Density of protons at IF|$n_{_{\rm IF}}(t)$| –
Density of protons in H iiR|$n_{_{\rm II}}(r,t)$| –
Density of H2 in SUR|$n_{_{\rm SUR}}(t)$| –
Bulk velocity in SUR|$\upsilon _{_{\rm SUR}}(t)$| –
Mass of SUR|$M_{_{\rm SUR}}(t)$| –
Independent variables
Time since O star switch-ont –
Radial distance from COCr –
Distance along symmetry axisz –
Distance from symmetry axisw[x2 + y2]1/2
Dimensionless variables
Dimensionless tτ|$c_{_{\rm LAYER}}t/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm IF}}(t)$||$\xi _{_{\rm IF}}(\tau)$||$W_{_{\rm IF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm SF}}(t)$||$\xi _{_{\rm SF}}(\tau)$||$W_{_{\rm SF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$\Delta W_{_{\rm SUR}}(t)$||$\delta _{_{\rm SUR}}(\tau)$||$\Delta W_{_{\rm SUR}}(t)/Z_{_{\rm LAYER}}$|
Acronyms
H ii regionH iiR–
Ionization frontIF–
Centre of curvature of IFCOC–
Shock frontSF–
Swept-up ringSUR–
Configuration parameters and fiducial values
Half-thickness of layer|$Z_{_{\rm LAYER}}$||$Z_{_{0.1}}\times \left[0.1\, {\rm pc}\right]$|
Density of H2 in layer|$n_{_{\rm LAYER}}$||$n_{_4}\times \left[10^4\, \rm {cm}^{-3}\right]$|
Output of ionizing photons|$\dot{\cal N}_{_{\rm LyC}}$||$\dot{\cal N}_{_{49}}\, \times \left[10^{49}\, \rm {s}^{-1}\right]$|
Effective sound speed in layer|$c_{_{\rm LAYER}}$||$0.31\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Effective sound speed in SUR|$c_{_{\rm SUR}}$||$0.44\, {\rm km\, s^{-1}}Z_{_{0.1}}n_{_4}^{1/2}$|
Fixed parameters and values
Temperature in ionized gas|$T_{_{\rm II}}$||$10^4\, {\rm K}$|
Sound speed in ionized gas|$c_{_{\rm II}}$||$15\, {\rm km\, s^{-1}}$|
Case B recombination coeff.|$\alpha _{_{\rm B}}$||$2.7\!\times \!10^{-13}\,\rm {cm^3\,s^{-1}}$|
Dependent variables
Distance from O star to IF|$W_{_{\rm IF}}(t)$| –
Distance from O star to SF|$W_{_{\rm SF}}(t)$| –
Thickness of SUR|$\Delta W_{_{\rm SUR}}(t)$| –
Density of protons at IF|$n_{_{\rm IF}}(t)$| –
Density of protons in H iiR|$n_{_{\rm II}}(r,t)$| –
Density of H2 in SUR|$n_{_{\rm SUR}}(t)$| –
Bulk velocity in SUR|$\upsilon _{_{\rm SUR}}(t)$| –
Mass of SUR|$M_{_{\rm SUR}}(t)$| –
Independent variables
Time since O star switch-ont –
Radial distance from COCr –
Distance along symmetry axisz –
Distance from symmetry axisw[x2 + y2]1/2
Dimensionless variables
Dimensionless tτ|$c_{_{\rm LAYER}}t/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm IF}}(t)$||$\xi _{_{\rm IF}}(\tau)$||$W_{_{\rm IF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$W_{_{\rm SF}}(t)$||$\xi _{_{\rm SF}}(\tau)$||$W_{_{\rm SF}}(t)/Z_{_{\rm LAYER}}$|
Dimensionless |$\Delta W_{_{\rm SUR}}(t)$||$\delta _{_{\rm SUR}}(\tau)$||$\Delta W_{_{\rm SUR}}(t)/Z_{_{\rm LAYER}}$|
Close
This Feature Is Available To Subscribers Only

Sign In or Create an Account

Close

This PDF is available to Subscribers Only

View Article Abstract & Purchase Options

For full access to this pdf, sign in to an existing account, or purchase an annual subscription.

Close