Originates of the nonextensivity of internal energy in nanoclusters

In this study, we have compared the effects of two different correlations, statistic(dynamic) and microscopic ( interaction) correlations on the nonextensivity of internal energy. A composed system from N independent and identical harmonic oscillator in Tsallis statistical framework, has been considered as an example for a system with statistic correlation. For such a system, nonextensivity originates from Tsallis statistic in definition of the entropy, by entropic index, q. To study the nonextensivity from microscopic correlations, the nanoclusters with different interactions have been selected. Our study shows that in some cases it is possible to present the microscopic nonextensivity in the dynamic nonextensivity by defining an entropic index, q, for example with q slightly greater than unity for L.J nanoclusters. In this article we have shown that the nonextensive vibration partition function of harmonic oscillator in Tsallis statistical mechanics may be used for prediction of the behavior of the L.J nanoclusters, for example for sub-extensivity of the configuration energy.

کلیدواژه ها:

Nano clusters ، nonextensivity ، Tsallis statistical mechanics