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Bibliographic Details
Main Authors: Lima, J. A. S., Benetti, M. H.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.00114
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author Lima, J. A. S.
Benetti, M. H.
author_facet Lima, J. A. S.
Benetti, M. H.
contents An extension of Maxwell's original prescription for an ideal gas is adopted to derive a broad class of Kappa-type velocity distributions, encompassing both fat and short-tailed forms. Within this general framework, a physically consistent fat-tailed Kappa distribution is identified that accurately fits recent suprathermal data. In particular, a kinetic physical temperature $T$ emerges naturally from the model, eliminating the need to invoke an effective temperature $T_{κ\ell}$, as is commonly done in the literature. Finally, it is argued that only a particular value of $\ell$ ensures a satisfactory fit to the data when the physical kinetic temperature is employed.
format Preprint
id arxiv_https___arxiv_org_abs_2508_00114
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unified Description of Kappa-type velocity distributions
Lima, J. A. S.
Benetti, M. H.
Plasma Physics
An extension of Maxwell's original prescription for an ideal gas is adopted to derive a broad class of Kappa-type velocity distributions, encompassing both fat and short-tailed forms. Within this general framework, a physically consistent fat-tailed Kappa distribution is identified that accurately fits recent suprathermal data. In particular, a kinetic physical temperature $T$ emerges naturally from the model, eliminating the need to invoke an effective temperature $T_{κ\ell}$, as is commonly done in the literature. Finally, it is argued that only a particular value of $\ell$ ensures a satisfactory fit to the data when the physical kinetic temperature is employed.
title Unified Description of Kappa-type velocity distributions
topic Plasma Physics
url https://arxiv.org/abs/2508.00114