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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

Influence of magnetic fields on taylor vortex formation in magnetic fluids

TL;DR: In this article, an equation of motion is derived phenomenologically to describe the hydrodynamics of magnetic fluids and the changes in the critical Taylor numberTcand wave numberTc which characterize the instability of primary circular Couette flow towards Taylor vortices.
Journal ArticleDOI

Pathways to self-organization: Crystallization via nucleation and growth.

TL;DR: The rare event problem arising in the simulation of nucleation processes and how to calculate nucleation rates accurately is addressed and statistical tools to analyze crystallization trajectories are discussed.
Journal ArticleDOI

Stimulated scattering of electromagnetic waves carrying orbital angular momentum in quantum plasmas

TL;DR: The present results are useful for understanding the origin of scattered light off low-frequency density fluctuations in high-energy density plasmas where quantum effects are eminent.
Journal ArticleDOI

Understanding the problem of glass transition on the basis of elastic waves in a liquid.

TL;DR: It is proposed that the properties of a glass transition can be understood on the basis of elastic waves and the range of propagation of high-frequency elastic waves, d(el), increases with liquid relaxation time τ, giving the Vogel-Fulcher-Tammann (VFT) law.
Journal ArticleDOI

Progress in Ultrasonic Spray Pyrolysis for Condensed Matter Sciences Developed From Ultrasonic Nebulization Theories Since Michael Faraday

TL;DR: A review of the history of ultrasonic nebulization of liquids can be found in this article, where the authors outline the history from the discovery of the Faraday effect by Michael Faraday to the explanation of the phenomenon by capillary wave mechanism and Cavitation hypothesis.
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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