pressure integral
(integral relating pressure to a gas's characteristics)
The pressure integral (used in modeling stellar structure)
relates a gas's pressure to
particle momenta and density.
∞
P = 1/3 ∫ nppv dp
0
- P - pressure.
- p - momentum.
- npdp - number of particles per unit volume with momentum p.
- v - velocity of the particle (with the given momentum).
(If the particles have a variety of masses, then velocity is not
related to momentum and evaluation is less straightforward, but I
believe you can do each type of particle separately and sum the
results.) This form applies to any particles with momenta, and can
be applied photons for light pressure as well as
molecules.
(mathematics,dynamics)
Further reading:
https://users.physics.unc.edu/~sheila/customstudyplaninfo/Qual1999_2012.pdf
https://www.astro.ru.nl/~onnop/education/stev_utrecht_notes/chapter1-4.pdf
https://www.ucolick.org/~woosley/ay112-14/texts/pols11.pdf
http://eagle.phys.utk.edu/guidry/astro411/lectures/starLect.pdf
https://slideplayer.com/slide/7345030/
https://www.astro.uliege.be/~dupret/coursevol-eng-7.pdf
Index