1202.0638 (Guo Ran et al.)

Energy distribution and energy fluctuation in Tsallis statistics    [PDF]

Guo Ran, Du Jiulin

The energy distribution and the energy fluctuation in the Tsallis canonical
ensemble are studied with the OLM formalism but following a new way. The
resulting formula for the energy fluctuation is not the same as that in
previous work [Liu L.Y. and Du J.L., Physica A 387(2008)5417]. In discussing
the application of an ideal gas, we find that the energy fluctuation can not be
negligible in the thermodynamic limit, showing the ensemble nonequivalence for
this case in Tsallis statistics. We investigate the energy fluctuation with a
Tsallis generalized canonical distribution studied by Plastino and Plastino
[Phys. Lett. A 193(1994)140] for describing a system in contact with a finite
heath bath. For this situation, the two formulae for the energy fluctuation are
shown to be equivalent, while the nonextensive parameter q plays an very
important role.

View original: http://arxiv.org/abs/1202.0638