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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

A novel general modeling of the viscoelastic properties of fluids: Application to mechanical relaxation and low frequency oscillation measurements of liquid water

Frédéric Aitken, +1 more
- 16 Feb 2022 - 
TL;DR: In this paper , the authors calculate the time dependence of the mean position (and orientation) of a fluid particle when a fluid system at thermodynamic equilibrium is submitted to a mechanical action, and then using the notions of inertial modes and action temperature, and assuming a mechanical energy equipartition principle per mode, they predict the existence of a dynamic phase transition where the rheological behavior of the medium evolves from a solid-like to a liquid-like regime when the mechanical action is increased.
Journal ArticleDOI

Temperature dependent elastic repulsion of colloidal nanoparticles with a polymer adsorption layer

TL;DR: In this article, a simple analytical equation is applied for the energy of elastic repulsion of nanoparticles with arbitrary sizes and the elasticity moduli of self-healing polymer adsorption layers.
Journal Article

Phase transitions and interfaces in temperature-sensitive colloidal systems

TL;DR: In this article, Nguya maakte gebruik van temperatuurgevoelige colloide systemen om colloided fasegedrag and organisatie vast leggen.
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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