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Journal ArticleDOI

A kinetic theory of liquids

Max Born, +1 more
- 22 Feb 1947 - 
- Vol. 159, Iss: 4034, pp 251-254
TLDR
The solution of the general equations should be established as rigorously as the present knowledge of the fundamental law permits ; the solution of these equations may, however, be obtained by approximations suited to the case.
Abstract
THE problem of formulating a rigorous mathematical description of the molecular motion in .liquids has always been regarded as much more difficult than that of the kinetic theory of gases or of solids, because one has the simplifying features of low density in the case of gases, and of a regular lattice structure in the case of solids, while the molecules of a liquid are in a dense and disordered state. It is clear that only approximate solutions may be expected ; but, in introducing the approximations, we think that the following principle should be accepted. The general equations should be established as rigorously as the present knowledge of the fundamental law permits ; the solution of these equations may, however, be obtained by approximations suited to the case.

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Citations
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Book ChapterDOI

The Microscopic Theory of Clustering and Nucleation

TL;DR: The fundamental theoretical interest in nucleation is that it is an important example of metastability as mentioned in this paper, which is atransition phenomenon from an unstable state to a stable one, which may be understood from a potential in one dimension shown in Fig. 1.
Journal ArticleDOI

Mathematical Modeling of Charge Transfer Processes in Polymeric Ionites During the Water Vapor Sorption

TL;DR: In this paper, a mathematical model of charge transfer processes in polymeric ionites during the water vapor sorption was developed based on a thermodynamic approach, and theoretical dependences of the resistance of a polymeric Ionite on the relative air humidity over the range 10-100% at physically reasonable values of the parameters of the system were obtained.
Journal ArticleDOI

Strain-Induced Violation of Temperature Uniformity in Mesoscale Liquids

TL;DR: In this article, it is shown that the liquid decays in several tenths microns wide thermal bands, all varying synchronously and separately with the applied stress wave reaching a sizable amplitude of $\pm$ 0.2 °C.
Posted Content

Decay of metastable multicomponent mixture

V. Kurasov
TL;DR: In this article, an analytical theory for the decay of the metastable phase in completely constructed for vapor with many components is presented. And the main characteristics of the process are obtained analytically with the help of iteration procedure.
References
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Journal ArticleDOI

Crystal statistics. I. A two-dimensional model with an order-disorder transition

TL;DR: In this article, the eigenwert problem involved in the corresponding computation for a long strip crystal of finite width, joined straight to itself around a cylinder, is solved by direct product decomposition; in the special case $n=\ensuremath{\infty}$ an integral replaces a sum.
Book

Kinetic theory of liquids

Journal ArticleDOI

On the determination of molecular fields. —II. From the equation of state of a gas

TL;DR: In this paper, it was shown that a molecular model of the same type will also explain available experimental data concerning the equation of state of a gas, and if so, whether the results so obtained, when taken in conjunction with those obtained from viscosity, will definitely fix the molecular field.
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