Journal ArticleDOI
Statistical Mechanics of Fusion
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A statistical mechanical theory of fusion based upon the use of local free energies is presented in this paper. But this theory is restricted to the case of a set of parameters and is not suitable for all parameters.Abstract:
A statistical mechanical theory of fusion based upon the use of local free energies is presented. An integral equation is formulated for the distribution function of average density in a region occupied by a system of molecules. Periodic solutions characteristic of a crystalline phase are found for certain ranges of values of a set of parameters depending upon temperature and volume. When the parameters decrease below certain critical values, all terms of the Fourier series representing the distribution function vanish with the exception of the constant term. A uniform density distribution characteristic of a fluid phase is then obtained. The melting parameters of argon at several pressures are calculated with the aid of the theory and compared with experiment.read more
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Book ChapterDOI
The Structure of Liquids
TL;DR: A large part of modern physics is concerned with the relations between the physical behaviour of a composite system and that of its constituent parts as mentioned in this paper, and the kinetic theory of matter, and of liquids in particular, is designed to provide the last link in this chain.
Journal ArticleDOI
A comment on the consistency of truncated nonlinear integral equation based theories of freezing
TL;DR: In this article, the authors report the results of two studies of aspects of the consistency of truncated nonlinear integral equation based theories of freezing and show that the self-consistent solutions to these nonlinear equations are unfortunately sensitive to the level of truncation.
Journal ArticleDOI
On the decay of the pair correlation function and the line of vanishing excess isothermal compressibility in simple fluids.
TL;DR: It is shown that there is a new and physically intuitive thermodynamic criterion which approximates well the actual FW line and defines a line where the isothermal compressibility takes its ideal gas value χT=χT id.
Journal ArticleDOI
Density functional theory of freezing with reference liquid
TL;DR: In this paper, the density functional theory of freezing is reformulated by introducing a reference liquid to describe the thermodynamic properties of the crystalline phase, and the density of this liquid is chosen so that the grand potential of the solid is stationary with respect to this parameter.
Journal ArticleDOI
On the molecular theory of crystallization and formation of ordered structures in equilibrium fluids
TL;DR: In this paper, a new theory of crystallization and formation of ordered phases in equilibrium fluids, based on the analysis of the asymptotic behavior of the pair correlation function, is presented.
References
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Journal ArticleDOI
Statistical Mechanics of Fluid Mixtures
TL;DR: In this paper, the chemical potentials of the components of gas mixtures and liquid solutions are obtained in terms of relatively simple integrals in the configuration spaces of molecular pairs, and the molecular pair distribution functions appearing in these integrals are investigated in some detail, in their dependence upon the composition and density of the fluid.
Journal ArticleDOI
Thermodynamics of Crystals and Melting
TL;DR: In this article, the free energy of a rigid body is calculated as a function of temperature, and of the six homogeneous strain components, for a regular (cubic) lattice.
Journal ArticleDOI
Critical phenomena in gases - I
TL;DR: In this paper, it was shown that the van der Waals equation is not valid for gases at high densities such as obtain in the neighbourhood of the critical point, and that the usual method of representing isotherms as simple functions of density or pressure ceases to be useful.