What question did this study set out to answer?

To solve Boltzmann's equation for the steady-state electron velocity distribution in electron-ion gases typical of gaseous nebulae and stellar atmospheres.

January 1, 1947The Astrophysical Journal

The Electron Velocity Distribution in Gaseous Nebulae and Stellar Envelopes.

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Authors

RRRohm Rohm LAL. H. AllerWesleyan University

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Implication

Theoretical analysis demonstrates near-perfect Maxwellian electron velocity distributions in planetary nebulae, indicating that frequent electrostatic encounters rapidly restore equilibrium.

Key Points

To solve Boltzmann's equation for the steady-state electron velocity distribution in electron-ion gases typical of gaseous nebulae and stellar atmospheres.
Formulated and solved Boltzmann's kinetic equation for electron-ion plasmas under dominant electrostatic Coulomb interactions.
Calculated reaction probabilities and compared the timescale of electrostatic energy exchange against the total lifetime of electrons in the gas.
Re-evaluated previous mathematical derivations of non-Maxwellian distributions to assess the validity of series expansion assumptions.
Showed that the electron velocity distribution in planetary nebulae is exceptionally close to an equilibrium Maxwellian distribution.
Established that an electron undergoes electrostatic energy reshuffling approximately once per second compared to an average nebula residence lifetime of roughly 10 years.
Demonstrated that previously reported non-Maxwellian distributions were mathematical artifacts resulting from expanding a Maxwellian profile around an inaccurate temperature.

Cite This Study

Rohm et al. (1947) studied this question.

synapsesocial.com/papers/6a9a65ce8fdb2eaad045c350 https://doi.org/10.1086/144890

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Implication

Theoretical analysis demonstrates near-perfect Maxwellian electron velocity distributions in planetary nebulae, indicating that frequent electrostatic encounters rapidly restore equilibrium.

The Electron Velocity Distribution in Gaseous Nebulae and Stellar Envelopes.

Discussion

Member takes

Implication

Key Points

Cite This Study

The Electron Velocity Distribution in Gaseous Nebulae and Stellar Envelopes.

Discussion

Member takes

Implication

Key Points

Cite This Study

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