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Mark G. Wolfire co-authored models of the cold neutral medium and warm neutral medium within the interstellar medium. The analysis calculated the range of pressure over which these gas phases can coexist in thermal equilibrium.

The pressure range depends on environmental inputs such as the radiation field and composition. Connecting the allowed equilibria to Galactic conditions explains why a single temperature is inadequate for describing much of the neutral interstellar gas, and why radiative cooling must be considered together with energy input.^[ref]

heating and cooling balance in the interstellar medium depends on density, ionization, radiation and shielding. Write net cooling per volume as $\mathcal{C}=n^2\Lambda (T)-n\Gamma$. Ultraviolet grain photoelectric heating is important in diffuse neutral gas; photoionization heats ionized regions, cosmic rays penetrate shielded gas, and shock waves from stellar winds and supernovae supply hot gas. Cooling includes collisionally excited atomic lines, fine-structure metal lines at lower temperatures, molecular lines in shielded clouds, and continuum radiation and dust emission where appropriate. The heating efficiency and cooling abundances matter as much as a nominal temperature.

A multiphase interstellar medium can contain a cold neutral medium near $10^2\mathrm{K}$, a warm neutral medium and warm ionized medium near $10^4\mathrm{K}$, a hot ionized medium near $10^6\mathrm{K}$, and still colder molecular clouds. Cold and warm atomic equilibrium branches can coexist at similar thermal pressure over a finite pressure interval; this is a calculated heating/cooling balance, not a requirement that all galactic gas have the same pressure.^[ref]

For net cooling per unit mass $\mathcal{L}=\mathcal{C}/\rho$, an isobaric perturbation at equilibrium obeys $c_p{\partial }_t\delta T=-(\partial \mathcal{L}/\partial T{)}_p\delta T$. Thus a negative constant-pressure cooling derivative is thermally unstable: a cool perturbation cools further and condenses. Sound crossing must be fast enough to maintain pressure balance; thermal conduction suppresses sufficiently short wavelengths. Supernova-driven motions, magnetic pressure, finite cooling times and interfaces make the actual medium dynamic, so equilibrium branches describe useful phases rather than a static collection of perfectly separated components.