new construction for the statistical theory of the nonextensive systems

We propose a new statistical theory for classical and quantum small systems. It is a generalized scheme of the Boltzmann–Gibbs statistical theory by extending the Boltzmann–Gibbs statistical factor from infinite systems to finite systems based on the microcanonical ensemble distribution function and...

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Bibliographic Details
Published in:Chinese science bulletin 2014-07, Vol.59 (21), p.2528-2533
Main Authors: Tang, Hui-Yi, Song, Tie-Ling, Wang, Jian-Hui, Ma, Yong-Li
Format: Article
Language:English
Subjects:
Bolts
Chemistry/Food Science
Distribution functions
Earth Sciences
Engineering
Entropy
gases
Humanities and Social Sciences
Life Sciences
Mathematical analysis
multidisciplinary
Nanostructure
Phase transformations
phase transition
Physics
Science
Science (multidisciplinary)
Specific heat
Thermodynamics
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Summary:We propose a new statistical theory for classical and quantum small systems. It is a generalized scheme of the Boltzmann–Gibbs statistical theory by extending the Boltzmann–Gibbs statistical factor from infinite systems to finite systems based on the microcanonical ensemble distribution function and keeping this factor in all thermodynamic processes. We reconstruct the statistical theory for finite systems by obtaining the expression of the average particle number and the thermodynamic quantities such as entropy and specific heat, in the finite systems. We also explore the discontinuous phase transitions in the interacting classical nanoscale gases without the thermodynamic limit.
ISSN:1001-6538
1861-9541
DOI:10.1007/s11434-014-0351-1