Incomplete nonextensive statistics and the zeroth law of thermodynamics

On the basis of the entropy of incomplete statistics （IS） and the joint probability factorization condition, two controversial problems existing in IS are investigated： one is what expression of the internal energy is reasonable for a composite system and the other is whether the traditional zeroth...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 22; no. 4; pp. 144 - 147
Main Author 黄志福 欧聪杰 陈金灿
Format Journal Article
LanguageEnglish
Published 01.04.2013
Subjects
Entropy
Equivalence
Factorization
Internal energy
Mathematical analysis
Statistics
Thermodynamics
复合材料
复合系统
数学计算
热力学定律
热力学第零定律
统计
联合概率
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/4/040501

Cover

More Information
Summary:On the basis of the entropy of incomplete statistics （IS） and the joint probability factorization condition, two controversial problems existing in IS are investigated： one is what expression of the internal energy is reasonable for a composite system and the other is whether the traditional zeroth law of thermodynamics is suitable for IS. Some new equivalent expressions of the internal energy of a composite system are derived through accurate mathematical calculation. Moreover, a self-consistent calculation is used to expound that the zeroth law of thermodynamics is also suitable for IS, but it cannot be proven theoretically. Finally, it is pointed out that the generalized zeroth law of thermodynamics for incomplete nonextensive statistics is unnecessary and the nonextensive assumptions for the composite internal energy will lead to mathematical contradiction.
Bibliography:Huang Zhi-Fu , Ou Cong-Jie, Chen Jin-Can（a） College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China b） Department of Physics, Xiamen University, Xiamen 361005, China
classical statistical mechanics; thermodynamics; probability theory
11-5639/O4
On the basis of the entropy of incomplete statistics （IS） and the joint probability factorization condition, two controversial problems existing in IS are investigated： one is what expression of the internal energy is reasonable for a composite system and the other is whether the traditional zeroth law of thermodynamics is suitable for IS. Some new equivalent expressions of the internal energy of a composite system are derived through accurate mathematical calculation. Moreover, a self-consistent calculation is used to expound that the zeroth law of thermodynamics is also suitable for IS, but it cannot be proven theoretically. Finally, it is pointed out that the generalized zeroth law of thermodynamics for incomplete nonextensive statistics is unnecessary and the nonextensive assumptions for the composite internal energy will lead to mathematical contradiction.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/4/040501