Journal ArticleDOI
Fifth to tenth virial coefficients of a hard-sphere fluid
TLDR
The best known value of the fifth virial coefficient for a hard-sphere fluid was until now: B5/tB42 = 0.110277 ± 0.000014 as mentioned in this paper.Abstract:
The best known value of the fifth virial coefficient for a hard-sphere fluid was until now: B5/tB42 = 0.110277 ± 0.000014, B2 being the second virial coefficient. In the present work, B5 is determined more accurately, the result being B5/tB42 = 0.110252±0.000001. Moreover, the values of B6 and B7 given in the literature are re-examined and slightly modified. Then, estimates of B8, B9 and B10 are given using several approximations.read more
Citations
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Journal ArticleDOI
Glass transition in the hard-sphere model and kauzmann's paradox*
TL;DR: A review of the relevant literature can be found in this article, with a focus on the role of the intermolecular potential i n glass formation phenomenology in the process of spin-glass formation.
Journal ArticleDOI
Virial coefficients for hard discs and hard spheres
TL;DR: In this paper, Monte Carlo integration of the sixth, seventh and eighth virial coefficients of hard discs and hard spheres is evaluated numerically (Monte Carlo integration) and the best estimates for these coefficients for hard discs are B7 /b6 = 0114 86(7) and B8/b7 = 0065 14(8); and for hard spheres B7/b6= 001307(7).
Journal ArticleDOI
Thermodynamic pressures for hard spheres and closed-virial equation-of-state
TL;DR: The virial pressure begins to deviate significantly from the thermodynamic fluid pressure at or near the freezing density, suggesting that the passage from stable fluid to metastable fluid is associated with a higher-order phase transition; an observation consistent with some previous experimental results.
Journal ArticleDOI
A van der Waals picture of the isotropic-nematic liquid crystal phase transition
William M. Gelbart,Boris Barboy +1 more
Journal ArticleDOI
Equation of state of a hard-disk fluid. I. The virial expansion
TL;DR: The existing values of the sixth and seventh virial coefficients of hard disks have been improved upon by using various extrapolation techniques as discussed by the authors, and the results obtained by these methods are very consistent with each other.
References
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Journal ArticleDOI
Equation of State for Nonattracting Rigid Spheres
TL;DR: In this paper, a new equation of state for rigid spheres has been developed from an analysis of the reduced virial series, which possesses superior ability to describe rigid-sphere behavior compared with existing equations.
Journal ArticleDOI
Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
TL;DR: In this paper, the three-dimensional classical many-body system is approximated by the use of collective coordinates, through the assumed knowledge of two-body correlation functions, and a self-consistent formulation is available for determining the correlation function.
Journal ArticleDOI
Fifth and Sixth Virial Coefficients for Hard Spheres and Hard Disks
Francis H. Ree,William G. Hoover +1 more
TL;DR: In this paper, the modified stars contain both Mayer f functions and f functions (f≡f+1) and it is shown that the number of topologically distinguishable graphs occurring in the new expressions is about half the number required in previous expressions.
Journal ArticleDOI
Seventh Virial Coefficients for Hard Spheres and Hard Disks
Francis H. Ree,William G. Hoover +1 more
TL;DR: In this paper, the authors used modified star integrals instead of the usual Mayer Star integrals to simplify the calculation of the seventh virial coefficient B7 and obtained the following values of B7: hard spheres, B7/(B2)6 = 0.0138±0.0004; hard disks, B 7/(B 2)6= 0.1141±0.0005; hard rods, hard disks and hard spheres.
Journal ArticleDOI
Sixth and Seventh Virial Coefficients for the Parallel Hard‐Cube Model
TL;DR: In this article, a procedure for calculating virial coefficients for parallel hard lines, squares, and cubes is outlined, and the sixth and seventh virial coefficient coefficients are computed for these models.
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Fifth and Sixth Virial Coefficients for Hard Spheres and Hard Disks
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