Corrigendum: Olbert’s Kappa Fermi and Bose Distributions

A corrigendum on

Olbert’s Kappa Fermi and Bose Distributions

by Treumann, R. A. and Baumjohann, W. (2021). Front. Phys. 9:672836. doi: 10.3389/fphy.2021.672836

In the original article, we accidentally missed to include some factorized term in Eqs 19 and 20 when resubmitting the article:

A correction has been made to Section 5: The Kappa Bose Distribution section. The corrected “Equations,” completed by the last bracketed factor, read:

Eq. (19):

${\langle n_{\alpha }\rangle }_{\text{OB}}={\left\{{[1-\beta \left(\mu -{\mathit{ϵ}}_{\alpha }\right)/\kappa ]}^{\left(\kappa +s\right)}-1\right\}}^{-1+1/\left(\kappa +s\right)}{[1-\beta \left(\mu -{\mathit{ϵ}}_{\alpha }\right)/\kappa ]}^{-2}(1)$

Eq. (20):

$Z_{\text{OB}}\equiv {\displaystyle \sum }_{\alpha }{\langle n_{\alpha }\rangle }_{\text{OB}}={\displaystyle \sum }_{\alpha }{\left\{{[1-\beta \left(\mu -{\mathit{ϵ}}_{\alpha }\right)/\kappa ]}^{\left(\kappa +s\right)}-1\right\}}^{-1+1/\left(\kappa +s\right)}{[1-\beta \left(\mu -{\mathit{ϵ}}_{\alpha }\right)/\kappa ]}^{-2}(2)$

The authors apologize for this error and state that this does not change the scientific conclusions of the article in any way. The original article has been updated.