Eur. Phys. J. B (2021) 94: 55
https://doi.org/10.1140/epjb/s10051-021-00066-2

Regular Article - Statistical and Nonlinear Physics

Bivariate superstatistics: an application to statistical plasma physics

¹ Instituto de Investigación Mutidisciplinar en Ciencia y Tecnología de la Universidad de La Serena, La Serena, Chile
² Departamento de Estadística, Facultad de Ciencias, Universidad del Bío-Bío, Concepción, Chile

^a esanchez@userena.cl

Received: 20 November 2020
Accepted: 11 February 2021
Published online: 20 February 2021

Abstract

From a bivariate superstatistics, we show that it is possible to obtain a generalized Kappa distribution, currently known for their great performance describing many anisotropic high-energy tail plasmas. Some particular cases obtained through this procedure are shown in this paper, and, on the other hand, the bimodality effect of marginal on the stationary superstatistical distribution is explored.