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Volumn , Issue , 2006, Pages

Theory of Simple Liquids

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EID: 85014175361     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-12-370535-8.X5000-9     Document Type: Book
Times cited : (3774)

References (407)
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    • See Chapter 5, Section 5.5.
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    • The implementation of certain theories also requires a knowledge of the hard-sphere y(r) inside the hard core, a parametrisation of which is given by
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    • This transformation is achieved by a topological reduction based on Lemma 5 of Section 3.7.
    • This transformation is achieved by a topological reduction based on Lemma 5 of Section 3.7.
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    • We use electrostatic units (esu).
    • We use electrostatic units (esu).
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    • Note that the "bridge function" in these and related papers is sometimes defined, in the present notation, as ?d(r).
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    • This result follows straightforwardly from the thermodynamic relations (2.3.8) and (2.3.9)
    • This result follows straightforwardly from the thermodynamic relations (2.3.8) and (2.3.9).
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    • HRT has also been successfully generalised to binary systems. See, e.g.
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    • It also played a central role in early theoretical work on the wetting transition. See
    • Cahn J.W. J. Chem. Phys. 1977, 66:3667. It also played a central role in early theoretical work on the wetting transition. See.
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    • See Chapter 5, Section 5.6.
    • See Chapter 5, Section 5.6.
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    • The detailed calculation for a different but related system (parallel hard cubes) is given by
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    • Comparison of molecular-dynamics results for the Lennard-Jones fluid with an extended form of Enskog theory reveals a different behaviour at intermediate densities. See
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    • Equation (7.7.6) is just the ideal-gas form of (3.6.9).
    • Equation (7.7.6) is just the ideal-gas form of (3.6.9).
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    • Deviations from gaussian behaviour increase rapidly as a liquid is supercooled: see, e.g.
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    • The Mathematical Theory of Non-Uniform Gases
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    • A particularly comprehensive neutron-scattering study is that of liquid Rb by, For inelastic x-ray scattering and references to earlier scattering experiments on liquid metals see, e.g.
    • Copley J.R.D., Rowe J.M., Scopigno T., Balucani U., Ruocco G., Sette F. Phys. Rev. A. Phys. Rev. E 2002, 65:031205. A particularly comprehensive neutron-scattering study is that of liquid Rb by, For inelastic x-ray scattering and references to earlier scattering experiments on liquid metals see, e.g.
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    • Copley, J.R.D.1    Rowe, J.M.2    Scopigno, T.3    Balucani, U.4    Ruocco, G.5    Sette, F.6
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    • For later developments in the theory of slow relaxations and the kinetic glass transition, see "Nonequilibrium Dynamics and Slow Relaxations in Condensed Matter" (J.L. Barrat, J. Kurchan M. Feigelman, J. Dalibard, eds). Springer, Berlin, 2003.
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    • See the discussion surrounding (4.7.2).
    • See the discussion surrounding (4.7.2).
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    • The Raman spectra of molten salts can also be analysed in terms of fluctuations in mass and charge densities: see ref. 24.
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    • The potential used in the simulations was derived from an empty-core pseudo-potential with a core radius obtained by fitting to the height of the first peak in the experimental structure factor: Anento, N., Canales, M. and Gonzez, L.E., unpublished results. See also
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    • For a discussion of the properties of the spherical harmonics and their use in liquid-state theory, see ref. 1, particularly Appendix A., Clarendon Press, Oxford
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    • The same result follows directly from the Stillinger-Lovett sum rules (10.2.17) See
    • Martin P.A. Rev. Mod. Phys. 1988, 60:1075. The same result follows directly from the Stillinger-Lovett sum rules (10.2.17) See.
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    • unpublished results
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    • Note that the assumption of ideality is made solely for the purpose of computing the single-chain structure factor., Oxford University Press, Oxford
    • Rubinstein M., Colby R.H. Polymer Physics 2003, Note that the assumption of ideality is made solely for the purpose of computing the single-chain structure factor., Oxford University Press, Oxford.
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    • This remarkable fact was first pointed out by, and later expanded upon by, The derivation given in the text follows the method of Sullivan and Gray. See also
    • Chandler D., Sullivan D.E., Gray C.G., Morriss G.P., Perram J.W. Faraday Disc. Chem. Soc. Mol. Phys. Mol. Phys. 1981, 43:669. This remarkable fact was first pointed out by, and later expanded upon by, The derivation given in the text follows the method of Sullivan and Gray. See also.
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    • TIP5P is one of a series of "transferable intermolecular potentials" devised for the simulation of water in different environments.
    • Mahoney M.W., Jorgensen W.L. J. Chem. Phys. 2000, 112:8910. TIP5P is one of a series of "transferable intermolecular potentials" devised for the simulation of water in different environments.
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    • Equation (11.10.9) can also be derived from the virial expansion via a calculation of the equilibrium constant for the dimerisation process. See, Sect. 15.3, Addison-Wesley, Oxford
    • Hill T.L. Introduction to Statistical Thermodynamics 1960, Equation (11.10.9) can also be derived from the virial expansion via a calculation of the equilibrium constant for the dimerisation process. See, Sect. 15.3, Addison-Wesley, Oxford.
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