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canonical ensemble 【物理學】正則系綜。

canonical form

( 2 ) the gravitational toy model in canonical ensemble is also studied under the regime of generalized statistical mechanics . we find that a region of negative specific heat describing the character of gravity also exists in canonical ensemble , which is remarkably distinguished from the result of traditional statistical mechanics that the specific heat must be positive in that ensemble , implying that the gravitating system may also be described by canonical one ( 2 )在正則系綜中,我們同樣根據廣義統計力學對引力toy模型進行了研究,發現也會出現類似于微正則系綜中的負比熱現象,這明顯區別于傳統的統計力學中比熱必須非負的結論,從而得出在tsalllis統計下正則系綜也可以描述引力系統的結論。

At a definite temperature a mesoscopic circuit isnt in a determinate quantum state instead of in the mixed state ( or statistical state ) . using the density matrix of the canonical ensemble , we have deduced the formulate of the quantum fluctuations of both charge and current in a non - dissipative mesoscopic coupled circuit . and the dependences of the quantum fluctuation of the circuit on its temperature have obtained 在有限溫度下,介觀電路系統實際上并不處在一個確定的量子狀態,而是處在混合態.根據正則系綜的密度矩陣導出耦合互感電路中電荷和電流的量子漲落,得到了量子漲落與溫度的依賴關系

In this paper , canonical ensemble theory is applied to investigate the second virial coefficient of a classical mixed gas and the limitative expression of the second virial coefficient formula is discussed ; in the meantime , the application of the investigation conclusion is put out 摘要本文應用正則系綜理論研究了經典混合氣體的第二維里系數,并討論了各種極限情況,同時指出了所得結果的實際應用。

Thermodynamical fluctuation of number density of particles in grand canonical ensemble of perfect systems 理想體系巨正則系綜中粒子數密度的熱力學漲落