Entropy Associated With Kappa Distributions

The kappa distribution is the outcome of the maximization of entropy under the constraints of canonical ensemble. However, there is no systematic analysis focusing on the respective entropy itself. Indeed, while the kappa distributions are exclusively used to describe space plasma populations, when it comes to their entropy, the Boltzmann Gibbs entropic formulation is employed. This chapter presents the theory, formulations, and properties of the entropy of kappa distributions. These developments will allow the researcher to calculate, formulate, and study the entropy, processes, and transitions, and improve the understanding of thermodynamics, in general, of the particle populations in space, geophysical, laboratory, or other plasmas, which are described by kappa distributions or combinations thereof.