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
Citations
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The evolution of multicomponent systems at high pressures:: I. The high-pressure, supercritical, gas–liquid phase transition
TL;DR: In this article, the thermodynamic stability of n -octane has been investigated as a function of temperature, pressure, and degree of molecular clustering at supercritical temperatures at low pressures, the free enthalpy is always lowest in the unassociated, gas state, and the system is, in that regime, robustly resistant to clustering.
Journal ArticleDOI
A New Cluster Scheme in Statistical Physics
TL;DR: In this paper, an explicit equation for the s-particle correlation in a large equilibrium system of particles interacting through a two-body potential was derived and solved to the leading order in the plasma limit.
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Formal Solution of the Equations of Statistical Equilibrium
TL;DR: In this article, a closed expression for the distribution functions in the classical theory of statistical equilibrium is given, which when suitably expanded, permits one to obtain rather simply the general term in the virial expansion of the distribution function and of the equation of state.
Journal ArticleDOI
Instability of the liquid state at high density: a detailed numerical analysis
J. R. Henderson,Z.A. Sabeur +1 more
TL;DR: In this article, the authors consider the case of hard sphere correlations, as predicted by modern density functional theory, and show that in the limit of arbitrarily small amplitude, such an instability would be a true bifurcation into two non-decaying oscillatory solution branches of different wavelength.
Journal Article
Spinodal in a Liquid-Face-Centered Cubic Phase Separation(Condensed matter: structure and mechanical and thermal properties)
TL;DR: A van der Waals model is introduced in this article to describe liquid-bcc-fcc phase transitions and phase separations, including unstable and metastable regions, and translational order parameters, or de...
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.
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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.
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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.