Journal ArticleDOI
Statistical Mechanics of Fusion
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TLDR
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
Citations
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Journal ArticleDOI
A molecular theory for freezing: Comparison of theories, and results for hard spheres
A. D. J. Haymet,David W. Oxtoby +1 more
TL;DR: In this paper, the modern density functional theory of freezing is reviewed and compared with different versions of it, and new results for the freezing of hard spheres are presented using as input a very accurate, empirical structure factor.
Book ChapterDOI
Structure of the electric double layer
TL;DR: In this paper, a surface specific method was proposed to discriminate between the signal from the surface structure of solids, which can be used in the study of the liquid solid interface, both experimentally as well as theoretically.
Journal ArticleDOI
Theory of melting based on lattice instability
TL;DR: A review of the various instability-based theories of melting with special emphasis on a particular type of instability which is both thermodynamic and elastic in nature can be found in this article.
Book ChapterDOI
Melting and liquid structure in two dimensions
Matthew A. Glaser,Noel A. Clark +1 more
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.