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By G.H. A. Cole
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Extra info for An Introduction to the Statistical Theory of Classical Simple Dense Fluids
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Nevertheless, a statistical theory of simple classical dense fluids now exists which leads to numerical predictions for comparison with experimental data. The further development of the present theory can be expected to lead eventually to an improved general theory able to treat complex liquids in detail. The present theory can in this way be regarded as the embryo of a branch of statistical physics of enormous technological interest. It is in this spirit that the assessment is made in this report of the present state of the statistical theory of simple dense fluids.
Then: This expression is quite general and applies to all equilibrium. The evaluation of the configuration partition function Z r is an entirely different story. 14b) can be equated to the product of identical integrals only in the special case of completely uncoupled particles (when Ψ = 0). 17). 3. THE ROLE OF THE PARTITION FUNCTION The link between the microscopic statistical theory and macroscopic thermodynamics is made by considering the entropy, S. The microscopic phase function here is — k In f(iV) so that S= -Jfc
23) which applies for ßN). Equations for the configurational distribution can, however, be deduced from the appropriate form of the Liouville equation by performing integrations over the momenta, as will be seen later. We shall enter into more detailed discussion of the distribution functions later, when we encounter the need to determine these functions explicitly for particular physical fluid situations. 6. MICROSCOPIC AVERAGES According to the standpoint of the kinetic theory, the properties of macroscopic bulk matter are to be deduced from the microscopic particle properties already briefly described.