ENERGY FLUCTUATIONS IN UNNORMALIZED TSALLIS STATISTICS

Abstract

In this paper, we investigate the fluctuation of the energy in the canonical ensemble in the setting of unnormalized q-expectation value theory in Tsallis statistics. After obtaining the general expression, we compare it with the energy fluctuation deduced from the generalized fluctuation-dissipation theorem. The results show that they are the same. Then, we take the classical ideal gas model as an example to explore the energy fluctuations of it. It shows that if the value of q is not in the vicinity of unity, the relative fluctuation of the energy is large. Thus, the energy in the canonical ensemble greatly deviates from the mean value.