Map of suprathermal onto nonextensive parameters describing Langmuir waves

We propose a polytropic-like index that depends on the concentration and number of degrees of freedom of a gas of charged particles following a nonextensive distribution. An equation of state of the gas is obtained and a dispersion relation describing Langmuir waves is derived. Comparison of the acquired dispersion relation with a previous one, recently deduced in the realm of the Kappa distribution, provides an adiabatic map of suprathermal onto nonextensive parameters. In the isothermal limit, the map recovers a well-known relation between those quantities. The results presented here may be useful for investigating the physics of coupled and weakly interacting systems in the nonextensive framework.