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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

Dynamics and energy dissipation of a rigid dipole driven by the RF-field in a viscous fluid: Deterministic approach

TL;DR: The deterministic rotation of a ferromagnetic nanoparticle in a fluid is considered and the effect of heating enhancement by a static field is analyzed, and results obtained can be actual for the description of heating in the magnetic fluid hyperthermia cancer treatment.
Journal ArticleDOI

Mathematical modeling of high-energy materials rheological behavior in 3D printing technology

TL;DR: In this article , a mathematical model of the extrusion process in 3D printing of high-energy composites is studied, where the composites are formed from polymer binder and powder with bimodal particles obtained by electric explosion technique.
Posted Content

Behavior of fluidized beds similar to equilibrium states

TL;DR: In this paper, a simulation of fluidized beds is carried out based on the model of fluidization proposed by Ichiki and Hayakawa, and it is shown that fluidization is a continuous transition and that the flow rate plays the role of the effective temperature.
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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