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王先智, Xian-Zhi Wang
PHYSICAL REVIEW E 66, 056102 (2002),-0001,():
-1年11月30日
We observe that for finite N and V, the canonical partition function QN of a fluid system of N particles is a polynomial of degree N in variable V/Nl3, which has N zeros that depend only on the cluster integrals b2 (V,T),..., bN (V,T). In the thermodynamic limit, if the zero distribution approaches the positive real axis, a phase transition arises. The behavior of phase transition is determined solely by the zero distribution near the positive real axis. Below the critical temperature, the Maxwell' s equal-area rule must be used to obtain the gas-liquid coexistence regime. Several examples are given.
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【期刊论文】Criterion for the occurrence of the gas-liquid phase transition
王先智, Xian-Zhi Wang a
THE JOURNAL OF CHEMICAL PHYSICS 123, 054504 (2005),-0001,():
-1年11月30日
Using Yang-Lee theory of phase transition and our extension, it is found that for a real fluid, both the singularity of canonical partition function and the critical point of the gas-liquid phase transition occur precisely at the temperature when all the cluster integrals become positive. The critical temperature is determined by the limit of the first zeros of the cluster integrals.
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【期刊论文】Mean-field cage theory for the freezing of hard-sphere fluids
王先智, Xian-Zhi Wang
THE JOURNAL OF CHEMICAL PHYSICS 122, 044515 (2005),-0001,():
-1年11月30日
Using some observations and some mean-field approximations, we develop a mean-field cage theory for the freezing of hard-sphere fluids with υf≥ad and obtain the freezing densities as functions of the closest-packing densities and the spatial densities, which are in good agreement with the experimental and simulation results.
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王先智, Xian Zhi Wang
PHYSICAL REVIEW A, VOLUME 65, 045601,-0001,():
-1年11月30日
A much simpler method is proposed for the evaluation of the exact finite-temperature particle and energy densities for noninteracting Bose and Fermi gases in d-dimensional anisotropic harmonic traps. For the Bose gas in the whole range of temperature, the exact results are obtained. For the Fermi gas with chemical potential less than the single-particle ground-state energy, the exact results are obtained.
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王先智, Xian-zhi Wang Yun Huang
PHYSICAL PEVIEW A, 1992, 46 (8): 46-46,-0001,():
-1年11月30日
We use the real-space renormalization-group approach to calculate the fractal dimension of diffusion-limited aggregation for a alttice with an arbitrary Euclidean dimension d. The results obtained are in good agreement with numerical numerical results. We prove that D → d-1 as d → ∞
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