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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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【期刊论文】The Critical Line of an Ising Antiferromagnet on Square and Honeycomb Lattices
王先智, Xian-Zhi Wang and Jai Sam Kim
PHYSICAL REVIEW LETTERS, 1997, 78 (3): 413~416,-0001,():
-1年11月30日
We show that the singularity of the free energy of Ising models in the absence of a magnetic field on the triangular, square, and honeycomb lattices is related to zeros of the pseudopartition function on an elementary cycle. Using the Griffiths' smoothness postulate, we extend these results to the case in a magnetic field and derive a formula of the critical line of an Ising antiferromagnet, which is in good agreement with the numerical results.
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【期刊论文】Yang-Lee circle theorem for an ideal pseudospin-1' 2 Bose gas in an external magnetic field
王先智, Xian Zhi Wang
PHYSICAL REVIEW E, VOLUME 63, 046103,-0001,():
-1年11月30日
The Yang-Lee circle theorem is extended to an ideal pseudospin-1/2 Bose gas in an external magnetic field. It is found that the zeros of the canonical partition function are located on the unit circle in the complex activity plane if the temperature is above the critical temperature of ideal Bose-Einstein condensation. No zeros exist if the temperature is below the critical temperature.
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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】Formula of the aeneralized dimensions for the screened-rowth model
王先智, Xian-zhi Wanz Yun Huang
PHSICAL REVIEW A, 1992, 46 (2): 46~46,-0001,():
-1年11月30日
Based on Meakin' s simulation results [Phys. Rev. A 34, 710 (1986); 35, 2234 (1987)], we use the bino-mial distribution to discuss the growth probability for the screened-growth model and develop a formula of the generalized dimensions. The results from this model are in good agreement with those from the simulations.
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