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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

Diffusion and Microscopic Characteristics of Singly Charged Ion Transfer in Extremely Diluted Aqueous Solutions

TL;DR: In this article, microscopic characteristics of the length (d), time, and rate of ion diffusion displacement have been calculated for 19 singly charged ions (Li, Na, K, Rb, Cs, F−, Cl−, Br−, I−, NO3, CNS −, ClO4, NH + 4, Me4N, Et4N, Pr4n, Bu4N and Pent4N) in water at temperatures from 273.15 to 473.15 K.
Journal ArticleDOI

Electrical Resistivity of Cyclohexane as a Function of Temperature and Water Concentration

TL;DR: In this paper, an equation relating the potential applied to and the current flowing in a liquid dielectric has been derived, which predicts that beyond a certain threshold potential the current is independent of the applied potential and is proportional to the number of ions produced per unit volume per unit time.
Journal ArticleDOI

Rheology of hard glassy materials.

TL;DR: The proposed framework provides an operational way to distinguish between 'soft' glasses and 'hard' glasses based on the shear-rate dependence of the structural relaxation time, and is able to describe all key features of deformation of 'hard', including the yielding transition, the nonaffine-to-affine plateau crossover, and the rate-stiffening of the modulus.
Journal ArticleDOI

Generation of Microcellular Foams by Supercritical Carbon Dioxidein a PMMA Compound

TL;DR: In this article, deconvolution experiments from a PMMA compound saturated with CO2 at high pressure were performed to investigate the heterogeneous effect due to the aggregate of the additives on the microcellular foam structure generated.
Journal ArticleDOI

Free-radical copolymerization of binary mixtures of vinyl monomers of various compositions: Initiation rate constants

TL;DR: For a number of vinyl monomers (styrene, butyl acrylate, vinyl acetate, and methyl-, butyl-, and lauryl methacrylates) and their mixtures with a divinyl (network-forming) monomer (triethylene glycol dimethacrylate) with the molar ratio of binary mixture components varying from 0 to 100, initiation rate constants have been measured through the inhibition method with the use of 2,2,6,6-tetramethyl-1-piperidinyloxy as a
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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