Lifetime models due to hiss waves

The hiss provides lifetime models due to interaction with hiss waves.

Models:

  • Orlova et al., (2016) electron lifetime due to hiss waves model.

O2016(mlt, L, en, kp)

Calculates electron lifetime due to hiss waves following Orlova et al. [2016] model.

Functions

rbamlib.models.tau.hiss.O2016(mlt, L, en, kp)

Calculates electron lifetime due to hiss waves following Orlova et al. [2016] model.

Parameters:

  • mlt (float or ndarray) – Magnetic Local Time in hours.

  • L (float or ndarray) – L-shell (McIlwain L), dimensionless. Valid range: \(1.5 \le L \le 5.5\). Inputs outside this range are clipped to the valid domain.

  • en (float or ndarray) – Kinetic energy (MeV). Valid range: \(10^{-3} \le \mathrm{en} \le 10\). Inputs outside this range are clipped to the valid domain.

  • kp (float or ndarray) – Planetary Kp index (dimensionless).

Returns:

Electron lifetime (seconds).

Return type:

float or ndarray

Notes

The parameterization is valid for:

\[en = \log_{10}(en) \ge f(L), \quad f(L) = 0.1328 L^2 - 2.1463 L + 3.7857,\]

where kinetic energy \(\mathrm{en} \in\) [1 keV, 10 MeV] and \(L \in [1.5, 5.5]\).

Electron lifetimes are parameterized as a function of L and kinetic energy \(E=log_{10}(\mathrm{en})\):

\[\begin{split}\begin{aligned} \log_{10}\tau_{\rm av} = & a_1 + a_2 L + a_3 E + a_4 L^2 + a_5 L E + a_6 E^2 \\ &+ a_7 L^3 + a_8 L^2 E + a_9 L E^2 + a_{10} E^3 \\ &+ a_{11} L^4 + a_{12} L^3 E + a_{13} L^2 E^2 + a_{14} L E^3 \\ &+ a_{15} E^4 + a_{16} L E^4 + a_{17} L^2 E^3 + a_{18} L^4 E \\ &+ a_{19} L^5 + a_{20} E^5 \end{aligned}\end{split}\]

The final lifetime is:

\[\tau = \frac{\tau_{\rm av}}{g(\mathrm{MLT})\,h(\mathrm{kp})}.\]

Extremely large \(\log_{10}\tau_{\rm av} > 10\) is treated as inf.