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If the solar wind propagates out adiabatically with a constant speed and can be regarded as an ideal gas, how the solar wind temperature depend on radial distance from the sun $r$, i.e. $T$ as a function of $T(r)$?

Qmechanic
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Tasnim
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  • Wellcome @Tasnim, you say that the solar wind is constant but you ask for its dependence on the radius. Do you mean that the velocity is not an explicit function of time? – Javi May 07 '22 at 07:16
  • Thank you. It is assumed that the solar wind propagates radially with a constant speed (adiabatic) from the sun. The main focus of this question is radial dependence of temperature for the adiabatic process. – Tasnim May 07 '22 at 09:58
  • Related: https://physics.stackexchange.com/q/695955/59023 – honeste_vivere May 09 '22 at 11:55

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I don't know if it could be of use for your problem, but the ideal gas with a homogeneous gravity field is well known classical problem of statistical physics. It induces a non-homogeneous concentration of particles.

For this result, you can visit problems 6.8 and 6.10 of Patrhia's statistical mechanics book.

I don't know how to add the "solar wind" to this solution. But in any case, the Hamiltonian would be the same, right? Wouldn't it just be a matter of adding a Gallilean transformation to the result?

Javi
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