| 1. | Systematic and general discussion on gibbs paradox
吉布斯佯谬的正则系综讨论 |
| 2. | Thermodynamical fluctuation of number density of particles in grand canonical ensemble of perfect systems
理想体系巨正则系综中粒子数密度的热力学涨落 |
| 3. | As a well - received fact , entropy , the measurement of the disorder degree of a system , can indirectly be measured by thermodynamics
摘要从正则系综与巨正则系综的统计规律出发推导出了熵与宏观状态参量之间的关联。 |
| 4. | The rule of fluctuation of energy and pressure about canonical assemblages relativity quantum perfect gas under high temperature is given through strict theoretical inference and comparison with the theory on non - relativity
通过严格的理论推导，给出了正则系综高温条件下相对论量子理想气体的能量和压强的涨落规律，并与非相对论涨落进行了比较 |
| 5. | Our main work is following : ( 1 ) a toy model of gravity in microcanonical ensemble is investigated according to generalized statistical mechanics which is more suitable to gravitating system because of its long range and non - extensive features
主要工作如下： ( 1 )基于引力系统的长程性和非广延性，根据广义统计力学用微正则系综来讨论引力toy模型。 |
| 6. | 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
摘要本文应用正则系综理论研究了经典混合气体的第二维里系数，并讨论了各种极限情况，同时指出了所得结果的实际应用。 |
| 7. | After studying the relation of distributive function and density matrix , the electron energy is calculated in magnetic field according to the distributive function in the thermodynamic statistical physics and the density matrix average value principle in the quantum mechanics , respectively
摘要研究正则系综中的配分函数与密度矩阵的关系，分别采用热力学统计物理中的配分函数和量子力学中的密度矩阵与平均值原理，计算电子在磁场中的能量。 |
| 8. | 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
在有限温度下，介观电路系统实际上并不处在一个确定的量子状态，而是处在混合态.根据正则系综的密度矩阵导出耦合互感电路中电荷和电流的量子涨落，得到了量子涨落与温度的依赖关系 |
| 9. | ( 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 )在正则系综中，我们同样根据广义统计力学对引力toy模型进行了研究，发现也会出现类似于微正则系综中的负比热现象，这明显区别于传统的统计力学中比热必须非负的结论，从而得出在tsalllis统计下正则系综也可以描述引力系统的结论。 |
