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.
LI Heling
,
WANG Yating
,
YANG Bin
,
SHEN Hongjun
,
LI Heling
,
WANG Yating
,
YANG Bin
,
SHEN Hongjun
. Power-Law Distribution of a Completely Open System and Its Suitable Objects[J]. Complex Systems and Complexity Science, 2019
, 16(3)
: 71
-78
.
DOI: 10.13306/j.1672-3813.2019.03.007
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