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Statistical‐Mechanical Derivation of the Partial Molecular Stress Tensors in Isothermal Multicomponent Systems
1.J. H. Irving and J. G. Kirkwood, J. Chem. Phys. 18, 817 (1950).
2.R. J. Bearman and J. G. Kirkwood, J. Chem. Phys. 28, 136 (1958).
3.F. M. Snell and R. A. Spangler, J. Phys. Chem. 71, 2503 (1967).
4.H. S. Green, The Molecular Theory of Fluids (Interscience Publishers, Inc., New York, 1952), p. 172.
5.J. O. Hirschfelder, G. F. Curtis, and R. B. Bird, Molecular Theory of Gases and Liauids (John Wiley & Sons. Inc., New York 1954), p. 455.
6.R. J. Bearman, J. Chem. Phys. 29, 1278 (1958).
7.We are indebted to Richard J. Bearman, who helped to clarify these apparent ambiguities.
8.Equation (2.19), arising from the “equilibrium” portion of the second term of B‐K Eq. (4.18), should have subscripts ki on both V and
9.It is to be noted that this last term, summed over all k and i, vanishes identically as it should.
10.S. Chapman and T. G. Cowling, The Mathematic Theory of Non‐Uniform Gases (Cambridge University Press, Cambridge, England, 1958), Chap. 1.
11.It is to be noted that had we chosen not to include the term in the expansion given in Eq. (5.1), the factor of would be absent from Eq. (5.9). However, to then obtain the usual Newtonian form, we may‐define a bulk viscosity Hence Eq. (5.10) results with replacing We have chosen to introduce the term in the expansion Eq. (5.1), however, in an effort to gain further insight, a point that deserves further study.
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