Power-Law Distribution of a Completely Open System and Its Suitable Objects
LI Heling1,2, WANG Yating1,2, YANG Bin1,2, SHEN Hongjun1,2
1.School of Physics and Electronic-Electrical Engineering, Ningxia University, Yinchuan 750021, China; 2.Key Lab on Information Sensing and Intelligent Desert, Yinchuan 750021, China
Abstract：More and more evidences show that different ensembles can be not equivalent. Especially in the systems with long-range interactions, the ensemble inequivalence is more obvious. We believed that the long-range interaction system corresponds to the power-law distribution, and proved that the power-law distributions are not applicable to the near-independent systems and the extensive systems with the short-range interactions. Therefore, it is imperative to perfect or enrich various ensembles of the power-law distribution. Based on the principle of maximum entropy and Rényi entropy, we obtained the power-law distributions of a completely open system, grand canonical system, isothermal-isobaric system and various other systems, and gave a variety of formulas for calculating thermodynamic quantities.
李鹤龄, 王雅婷, 杨斌, 沈宏君. 完全开放系统的幂律分布及其适用对象[J]. 复杂系统与复杂性科学, 2019, 16(3): 71-78.
LI Heling, WANG Yating, YANG Bin, SHEN Hongjun. Power-Law Distribution of a Completely Open System and Its Suitable Objects. Complex Systems and Complexity Science, 2019, 16(3): 71-78.
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