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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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Journal ArticleDOI

Kinetics of crystalline nuclei growth in glassy systems

TL;DR: It is found that for the considered systems at different temperatures, the crystal growth laws that were rescaled onto the waiting times of the critically-sized nuclei follow a unified dependence, and can significantly simplify the theoretical description of the post-nucleation growth of crystalline nuclei.
Journal ArticleDOI

A phonon thermodynamics approach of gold nanofluids synthesized in solution plasma

TL;DR: In this paper, the phonon thermodynamics theory for liquids was applied to explain the thermal characteristics of gold nanofluids synthesized by a simple, one-step, and chemical-free method using an electrical discharge in a liquid environment termed solution plasma process.
Journal ArticleDOI

Mechanism of the formation of the structure and phase state of binary metallic nanoparticles obtained by the electric explosion of two wires made of different metals

TL;DR: In this paper, it was shown that during wire heating with a current pulse, the drastic local increase in the electric resistance of the liquid metal leads to the development of overheating instability.
Journal ArticleDOI

Computation of isothermal compressibility, thermal expansivity and ultrasonic velocity of binary liquid mixtures using hole theory

TL;DR: In this paper, the authors used hole theory to calculate the isothermal compressibility, thermal expansivity and ultrasonic velocity of binary liquid mixtures at 298.15 K. The calculated values were found to be in fairly good agreement with experimental findings.
Journal ArticleDOI

A Method for Analyzing the Non-Stationary Nucleation and Overall Transition Kinetics. A Case of Water

TL;DR: An efficiency is demonstrated by the application of the statistical method of the mean first-passage time concept to the analysis of molecular dynamics simulation data of a phase transformation of the vapor-to-liquid transition kinetics in water at the different temperatures.
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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