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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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A Unified Theory of Thermal Conductivity of Liquids and Amorphous Solids

TL;DR: In this paper, the authors presented a ubiquitous formula to explain the thermal conductivities of liquids and amorphous solids in a unified way, and calculated thermal conductivity using this formula without fitting parameters are in excellent agreement with the experimental data for these systems.
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Decay of metastable phase on several types of heterogeneous centers

V.Kurasov
TL;DR: In this paper, an analytical theory for the process of decay in a metastable phase has been constructed and the free energy of formation of the critical embryo is assumed to be known in the macroscopic approach as well as the energy of solvatation.
Journal ArticleDOI

Theory of Metastable State Relaxation for Non-Critical Binary Systems with Non-Conserved Order Parameter

TL;DR: In this paper, a new mathematical ansatz for a solution of the time-dependent Ginzburg-Landau nonlinear partial differential equation is developed for noncritical systems such as non-critical binary solutions (solute + solvent) described by the nonconserved scalar order parameter.

Viscosity model for slags in the A12O3-CaO-'FeO'-K2O-Na2O-MgO-SiO2 system

Evgueni Jak
TL;DR: In this article, the viscosities of slags in the Al2O3-CaO-FeO-K2O-N 2O-MgO-SiO2 system were predicted within experimental uncertainties over a wide range of compositions and 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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