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1. G. H. A. Cole, An Introduction to the Statistical Theory of Classical Simple Dense Fluids ( Pergamon Press, Oxford, UK, 1967), p. 147.
2.Except in cases of nearly pure oil or nearly pure vinegar.
3.Another counterexample is raw whole milk, which spontaneously segregates into cream and low-fat milk. But, whether for good or for ill, unhomogenized milk is found in few American kitchens today.
4. Specifically, the density ρ as a function of height z is , where m is the mass of an individual gas molecule, g the gravitational field strength, kB Boltzmann's constant, and T the uniform temperature of the system. A different formula applies to an adiabatic atmosphere, but an adiabatic atmosphere is not in thermal equilibrium.

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