Energy fluctuation and correlation in Tsallis statistics

Zhi-Hui Feng and Li-Yan Liu

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 2, 237-241

Abstract: We investigate the fluctuation of the energy in the framework of Tsallis statistics and find the correlation plays an important role in energy fluctuations. In Tsallis statistics, the correlation is induced by the nonextensivity of Tsallis entropy and exists between particles even if the particles are dynamically independent. By taking the generalized ideal gas as an example, we get that when the particle number N is large enough, the relative fluctuation of the energy is proportional to 1/N instead of 1/N in Boltzmann statistics. Thus, the relative energy fluctuation is much smaller in Tsallis statistics than that in Boltzmann statistics. Besides, we demonstrate that the introduction of correlation between particle energies leads to smaller energy fluctuations in Tsallis statistics.

Keywords: Tsallis statistics; Energy fluctuation; Correlation (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:2:p:237-241

DOI: 10.1016/j.physa.2009.09.005

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