Journal ArticleDOI
Statistical Mechanics of Fusion
Reads0
Chats0
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
More filters
Journal ArticleDOI
Theory of the freezing transition
TL;DR: In this paper, a statistical mechanical explanation of the freezing transition, which is exact in a certain limit, is given, and a statistical model of the transition is used to show that it can be explained.
Journal ArticleDOI
Translational order parameter in the smectic-B phase of 4-hexyl-4′-[2-(4-isothiocyanatophenyl)ethyl]-1,1′-biphenyl
TL;DR: In this article, the authors used a theoretical model to compute translational order parameters of 4-hexyl-4′-[2-(4-isothiocyanatophenyl)ethyl]-1-1′-biphenyl.
Posted Content
Fluctuation Theory of Mixtures (A Statistical Mechanical Background)
G. Ali Mansoori,E. Matteoli +1 more
TL;DR: The statistical mechanical basis of the fluctuation theory of mixtures is reviewed in this article, where an overview of the statistical mechanical relations between the microscopic properties of a system and its macroscopic properties is presented.
Journal ArticleDOI
The homogeneous helimagnet and the liquid-solid transition
TL;DR: In this article, the possibility of a transition with an infinite susceptibility at non-vanishing q in an homogeneous medium is investigated, and it is shown that only a weak singularity can occur, and probably no infinity ; the strong singularity appears at q = 0 for a quantity which is not the susceptibility.
Journal ArticleDOI
Thermodynamic consistency and entropy change in the density-wave theory of freezing.
TL;DR: In this paper, a new way of calculating entropy and volume changes is proposed, which avoids an unphysical feature of the entropy formula previously proposed by other authors, and the freezing of hard spheres is discussed as an illustration.
References
More filters
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.