A unified framework to describe the adiabatic class of ensembles in thegeneralized statistical mechanics based on Schwammle-Tsallis two parameter (q,q') entropy is proposed. The generalized form of the equipartition theorem,virial theorem and the adiabatic theorem are derived. Each member of the classof ensembles is illustrated using the classical nonrelativistic ideal gas andwe observe that the heat functions could be written in terms of the Lambert'sW-function in the large N limit. In the microcanonical ensemble we study theeffect of gravitational field on classical nonrelativistic ideal gas and asystem of hard rods in one dimension and compute their respective internalenergy and specific heat. We found that the specific heat can take bothpositive and negative values depending on the range of the deformationparameters, unlike the case of one parameter Tsallis entropy.
展开▼
