Numerical fits to important rates in high temperature astrophysical plasmas

S. Stepney, P. W. Guilbert

Monthly Notices of the Royal Astronomical Society · 1983 · 181 citations · 1 references

Concepts

TL;DR

The processes discussed are bremsstrahlung, Coulomb heating, and electron–positron pair production and annihilation. The authors provide simple but accurate numerical fits to two‑body rates in relativistic thermal plasmas between roughly 50 keV and 1 MeV. They fit the rates with simple numerical expressions and incorporate results from other workers for completeness. The fits achieve better than 5 % accuracy for the thermal electron–electron bremsstrahlung spectrum and are suitable for semi‑analytic or computational plasma modelling.

Abstract

We give simple but accurate numerical fits to various two-body rates in relativistic thermal plasmas, in the temperature range |$kT_\text e \sim 50\enspace \text{keV}-1\enspace\text{MeV}$|⁠. The processes we discuss are bremsstrahlung, Coulomb heating and electron–positron pair production and annihilation. In particular we present a fit to the thermal electron–electron bremsstrahlung spectrum which is accurate to better than 5 per cent. We also include the results of some other workers, for completeness. Our results are suitable for semi-analytic or computer modelling of hot plasmas.

References

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