We investigate the general property of the energy fluctuation in the canonical ensemble and the ensemble equivalence in Tsallis statistics. By taking the generalized ideal gas and the generalized harmonic oscillators as examples, we show that, when the particle number N is large enough, the...

We investigate the dispersion relation and Landau damping of ion acoustic waves in the collisionless magnetic-field-free plasma when the plasma is described by the nonextensive q-distributions of Tsallis statistics. We show that the increased numbers of superthermal particles and low velocity...

We present a stability analysis of the classical ideal gas in a new theory of nonextensive statistics and use this theory to understand the phenomena of negative specific heat in the nonextensive gas. The stability analysis is made on the basis of the second variation of Tsallis entropy. It is...