J4 ›› 2013, Vol. 12 ›› Issue (4): 33-36.
Previous Articles Next Articles
Received:
Revised:
Online:
Published:
Abstract:
A branch of the development of the nonextensive statistics is incomplete statistics. In this paper, the idea of nonextensive statistics is introduced briefly. According to the maximum entropy principle, the probability distribution based on the incomplete entropy is deduced in the completely open system, and the other six actual usable probability distributions can be obtained directly from it, which have provided theoretical basis for studying the particle system of complex physical systems.
Key words: incomplete statistics, probability distribution, completely open system
CLC Number:
0414
LI Ya-Ya, HU Ya-Ya. The Probability Distribution of Incomplete Statistics in Completely Open Systems[J]. J4, 2013, 12(4): 33-36.
0 / / Recommend
Add to citation manager EndNote|Ris|BibTeX
URL: http://journal15.magtechjournal.com/Jwk_dlxyzk/EN/
http://journal15.magtechjournal.com/Jwk_dlxyzk/EN/Y2013/V12/I4/33
〔1〕张奎,李鹤龄.统计热力学〔M〕.银川:宁夏人民出版社, 1999:1-7. 〔2〕曹克非,王参军.Tsallis 熵与非广延统计力学〔J〕.云南大 学学报:自然科学版,2005,27(6):514-520. 〔3〕王素云.非广延统计中离子声波的不稳定性的研究〔D〕. 天津:天津大学,2008. 〔4〕欧聪杰. 非广延统计物理中的四个基本问题与广义量子 气体的热力学性质〔D〕.厦门:厦门大学,2006. 〔5〕Tsallis C.Possible generalization of Boltzmann -Gibbs statistics〔J〕. J Stat Phys,1988,52(1-2):479- 487. 〔6〕Li Heling,Xiong Ying,Li Yaya.The Tsallis statistical distribution in completely open system〔J〕. Physica A, 2011,390(15):2769-2775. 〔7〕Henry E Kandrup. Mixing and “violent relaxation”for the one-dimensional gravitational Coulomb gas〔J〕. Phys Rev A,1989,40(12):7265-7274. 〔8〕Wang Qiuping A. Incomplete statistics and nonextensive generalizations of statistical mechanics〔J〕. Chaos,Solitons and Fractals,2001(12):1431-1437.