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
Statistical theory of noble-gas crystals and the phenomenon of sublimation.
TL;DR: A consistent (without any fitting parameters) statistical theory of classical noble-gas crystals with pair interaction between atoms is proposed and an infinite number of exact sum rules for the amplitudes of the space-periodic solutions are demonstrated.
Journal ArticleDOI
Use of polydispersity index as control parameter to study melting/freezing of Lennard-Jones system: Comparison among predictions of bifurcation theory with Lindemann criterion, inherent structure analysis and Hansen-Verlet rule
TL;DR: In this article, the authors investigated the freezing/melting transition of polydisperse systems with Gaussian polydispersity in size and found that the transition value of transition polypersity is strongly dependent on temperature, a feature missed in hard sphere model systems.
Journal ArticleDOI
A molecular field approach to pressure-induced phase transitions in liquid crystals: Smectic–nematic transition
TL;DR: DasGupta et al. as mentioned in this paper modified the Maier-Saupe potential to take into account the various aspects of a smectic A-nematic phase transition.
Book ChapterDOI
Inhomogeneous Fluids and the Freezing Transition
TL;DR: The theory of non-uniform systems, mainly classical and mainly with short-ranged interactions, has been studied in this paper, where the simplest realizable case in nature is a classical gas of N identical non-interacting atoms (coordinates, momenta, and each of mass m) subjected to a static spatially varying external potential φ(1), but otherwise confined to a volume V.
Book ChapterDOI
Distribution function approach to the stability of fluid phases
TL;DR: In this paper, the authors propose a method to solve the problem of the problem: this paper...,.. ].. ).. ]... )...
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.