基于非完整Shannon熵的第八种统计分布研究单原子理想气体
The Eighth Statistical Distribution of Monatomic Ideal Gas Based on Incomplete Shannon Entropy
摘要: 本文简要介绍了非完整统计思想,根据最大熵原理,推导了第八种统计分布,并计算了单原子理想气体的热力学量。在q = 1时,其结果与其他分布是相同的。
Abstract: In this paper, the incomplete statistics theories were introduced according to the principle of maximum entropy. The eighth statistical distribution was deduced, and the thermodynamic quan-tities of monatomic ideal gas were calculated. When q = 1, the results were the same as the results of other distributions.
文章引用:李亚亚, 胡娅娅. 基于非完整Shannon熵的第八种统计分布研究单原子理想气体[J]. 现代物理, 2014, 4(5): 81-85. http://dx.doi.org/10.12677/MP.2014.45010

参考文献

[1] 李鹤龄, 宋金国, 雷润洁 (2010) 非广延统计力学与完全开放系统的统计分布. 大学物理, 5, 22.
[2] Saslaw, W.C. (1985) Gravitational physics of stellar and galactic systems. Cambridge University Press, Cambridge, 217.
[3] Gamero, L.G., Plastino, A. and Torres, M.E. (1997) Wavelet analysis and nonlinear dynamics in a nonexten-sive setting. Physica A, 246, 487-509.
[4] Tsallis, C. (1988) Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics, 52, 479-487.
[5] 欧聪杰 (2006) 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. 厦门大学物理系, 福建.
[6] Wang, Q.A. (2001) Incomplete statistics and nonextensive generali-zations of statistical mechanics. Chaos, Solitons and Fractals, 12, 1431-1437.
[7] 李亚亚, 胡娅娅 (2013) 非完整统计在完全开放系统中的概率分布. 大理学院学报, 4, 34.
[8] 李鹤龄 (2005) 第八种统计分布与涨落. 宁夏大学学报(自然科学版), 3, 240-242.
[9] 张奎, 李鹤龄 (1999) 统计热力学. 宁夏人民出版社, 银川.
[10] 李鹤龄 (2010) 由完全开放系统的统计分布研究几个热力学系. 大学物理, 9, 13.