A detailed resource to data analysis shows that the widely known van Hoven and Derfler–
Simonen laboratory results are far from reasonable agreement with the standard Bohm–
Gross dispersion relation. We provide an extension of the usual notion of a polytropic index
to non-Boltzmann–Gibbs statistics. Such an extension allows for the deduction of an
equation of state of charged particles with the basis on the Kappa density distribution. That
equation of state, in turn, enables suprathermal corrections to the standard dispersion …