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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Phase field modeling of defects and deformation
Yunzhi Wang,Ju Li +1 more
TL;DR: In this paper, the authors reviewed new perspectives on the phase field approach in modeling deformation and fracture at the fundamental defect level, including the ability to predict fundamental properties of individual defects such as size, formation energy, saddle point configuration and activation energy of defect nuclei, and the micromechanisms of their mutual interactions.
Journal ArticleDOI
Phase transitions in liquid crystals
TL;DR: A comprehensive overview of phase transition studies can be found in this article, where the authors identify the essential key concepts and points of difficulty associated with the study of phase transitions and discuss the most widely used experimental techniques for measuring these transition properties.
Journal ArticleDOI
The Radial Distribution Function in Liquids
TL;DR: In this article, an integral equation for the radial distribution function for pairs in a liquid, and an approximate solution is effected for a system of ''hard spheres'' is derived. But the form of the function depends on a single parameter λ which can be related to certain observed physical properties of the liquid and to the diameter of closest approach.
Journal ArticleDOI
Understanding shape entropy through local dense packing
TL;DR: It is shown quantitatively that shape drives the phase behavior of systems of anisotropic particles upon crowding through DEFs, and the mechanism that generates directional entropic forces is the maximization of entropy by optimizing local particle packing.
Journal ArticleDOI
Asymptotic decay of liquid structure: oscillatory liquid-vapour density profiles and the Fisher-Widom line
TL;DR: In this paper, the Fisher-Widom (FW) line was introduced to define the divergence point between pure exponential from exponentially damped oscillatory decay of the radial distribution function g(r) at a liquid-vapour interface.
References
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Journal ArticleDOI
XV.—A Theoretical Atomic Distribution Curve for Liquid Argon at 90° K
TL;DR: The radial distribution of the atoms (or molecules) of liquids, as of solids, can be found from X-ray scattering photographs (Zernike and Prins, 1927; Warren and Gingrich, 1934), and in this way many such distributions have been determined experimentally (Harvey, 1938, 1939; Gingrich, 1940; references in Coulson and Rushbrooke, 1939).
Journal ArticleDOI
Melting as an Order‐Disorder Transition
TL;DR: In this paper, the breakdown of a regular crystal pattern is studied for an atomic crystal of the diamond type, and the results show the existence of a phase transition where this long range order breaks down.
Journal ArticleDOI
A Note on the Analysis of Liquid X-Ray Diffraction Patterns
Abstract: The corrected intensity curve given by Eisenstein and Gingrich for the diffraction of x-rays by liquid argon has been subjected to four different fittings, one of them including a weak fourth peak, to determine how sensitive the atomic distribution curve is, to errors in fitting. An analysis has been made for these four cases. The first peak of the atomic distribution curve has about the same shape in each case, the area under this peak varies by less than ten percent, and the position of its maximum remains constant to within about one and one-half percent. The small secondary peak becomes a plateau by the introduction of a weak fourth peak in the intensity curve.