Incomplete nonextensive statistics and the zeroth law of thermodynamics |
| |
| Authors: | Huang Zhi-Fu a b Ou Cong-Jie a Chen Jin-Can |
| |
| Affiliation: | b) a) College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China b) Department of Physics, Xiamen University, Xiamen 361005, China |
| |
| Abstract: | ![]()
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. |
| |
| Keywords: | classical statistical mechanics thermodynamics probability theory |
| 本文献已被 CNKI 等数据库收录！ |
|
