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Volumn , Issue , 2006, Pages 1-416

Theory of Simple Liquids, Third Edition

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EID: 85147079645     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-12-370535-8.X5000-9     Document Type: Book
Times cited : (188)

References (407)
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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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    • Note that the "bridge function" in these and related papers is sometimes defined, in the present notation, as −d(r)
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    • (Ising model) and, (Lennard-Jones fluid), See, e.g
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    • 2nd edn., Singapore: John Wiley, For introductory treatments, see the book by
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    • For a description of the numerical implementation, see, See, e.g
    • M. Tau, A. Parola, D. Pini, L. Reatto, A. Reiner and G. Kahl (1995) Phys. Rev. E 52 2644. For a description of the numerical implementation, see Phys. Rev. E 65 046701. See, e.g.
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    • HRT has also been successfully generalised to binary systems. See, e.g
    • D. Pini, M. Tau, A. Parola and L. Reatto (2003) Phys. Rev. E 67 046116. HRT has also been successfully generalised to binary systems. See, e.g.
    • (2003) Phys. Rev. E , vol.67 , pp. 046116
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    • Session XLVIII, J. Charvolin, J.F. Joanny, J. Zinn-Justin (Eds), Singapore: Elsevier, For a more detailed treatment of the material discussed in this section, see
    • R. Evans (1990) Session XLVIII J. Charvolin, J.F. Joanny, J. Zinn-Justin (Eds) Liquids at Interfaces: Les Houches Singapore: Elsevier For a more detailed treatment of the material discussed in this section, see
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    • It also played a central role in early theoretical work on the wetting transition. See
    • J.W. Cahn (1977) J. Chem. Phys. 66 3667. It also played a central role in early theoretical work on the wetting transition. See
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    • D. Henderson (Eds), Amsterdam: Marcel Dekker, For a critical survey of different approximations, see
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    • The detailed calculation for a different but related system (parallel hard cubes) is given by
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    • New York: John Wiley, Some of the material discussed in Chapters 7 to 9 is dealt with at greater length in a number of specialised texts
    • B.J. Berne and R. Pecora (1976) Dynamic Light Scattering. New York: John Wiley Some of the material discussed in Chapters 7 to 9 is dealt with at greater length in a number of specialised texts.
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    • 3rd edn, New York: Cambridge University Press, When g(d) = 1, (7.2.2) reduces to the result obtained by solution of the Boltzmann equation in a first-order approximation; higher-order corrections are of order 2%. See, e.g
    • S. Chapman and T.G. Cowling (1970) The Mathematical Theory of Non-Uniform Gases. 3rd edn New York: Cambridge University Press 258. When g(d) = 1, (7.2.2) reduces to the result obtained by solution of the Boltzmann equation in a first-order approximation; higher-order corrections are of order 2%. See, e.g.
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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
    • K. Miyazaki, G. Srinivas and B. Bagchi (2001) J. Chem. Phys. 114 6276. 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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    • 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
    • 3rd edn., New York: Cambridge University Press, Cambridge: McGraw-Hill, For a simplified discussion of the Boltzmann and Enskog equations see, e.g
    • S. Chapman, T.G. Cowling, T.M. Reed and K.E. Gubbins (1970) The Mathematical Theory of Non-Uniform Gases. 3rd edn. New York: Cambridge University Press 308. Applied Statistical Mechanics Cambridge: McGraw-Hill For a simplified discussion of the Boltzmann and Enskog equations see, e.g.
    • (1970) , pp. 308
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    • For inelastic x-ray scattering and references to earlier scattering experiments on liquid metals see, e.g., A particularly comprehensive neutron-scattering study is that of liquid Rb by
    • J.R.D. Copley, J.M. Rowe, T. Scopigno, U. Balucani, G. Ruocco and F. Sette (1974) Phys. Rev. A 9 1656. For inelastic x-ray scattering and references to earlier scattering experiments on liquid metals see, e.g. Phys. Rev. E 65 031205. A particularly comprehensive neutron-scattering study is that of liquid Rb by
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    • The conclusions of this paper were later confirmed, with much higher precision, by simulations of a lattice-gas model for which the equations of motion can be solved exactly: see
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    • The terms non-ergodicity parameter or Edwards-Anderson parameter are also used, the latter by analogy with a related problem in spin glasses
    • S.F. Edwards and P.W. Anderson (1975) J. Phys. F 5 965. The terms non-ergodicity parameter or Edwards-Anderson parameter are also used, the latter by analogy with a related problem in spin glasses
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    • For a review of the properties of the OCP, see
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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
    • P.V. Giaquinta, M. Parrinello, M.P. Tosi, B. Morgan and P.A. Madden (1978) Physica A 92 185. J. Chem. Phys. 120 1402. 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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    • J.P. Hansen and H. Löwen (2000) Ann. Rev. Phys. Chem. 51 209. For a review of approximations beyond Poisson-Boltzmann theory, see
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    • New York: Cambridge University Press, The oscillatory behaviour at large separations is linked to a logarithmic singularity in the dielectric function. See
    • T.E. Faber (1972) An Introduction to the Theory of Liquid Metals. New York: Cambridge University Press 28. The oscillatory behaviour at large separations is linked to a logarithmic singularity in the dielectric function. See
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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
    • M. Canales, L.E. Gonzàlez and J.A. Pàdro (1994) Phys. Rev. E 50 3656. 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 review of experimental results on liquid metals, see
    • T. Scopigno, G. Ruocco and F. Sette (2005) Rev. Mod. Phys. 77 881. For a review of experimental results on liquid metals, see
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    • Oxford: Clarendon Press, For a discussion of the properties of the spherical harmonics and their use in liquid-state theory, see ref. 1, particularly Appendix A
    • C.G. Gray and K.E. Gubbins (1984) Theory of Molecular Fluids. Oxford: Clarendon Press 151. For a discussion of the properties of the spherical harmonics and their use in liquid-state theory, see ref. 1, particularly Appendix A.
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    • The general procedure is described by
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    • X-ray scattering from methane is a special case See
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    • We follow in outline the arguments of
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    • The same result follows directly from the Stillinger-Lovett sum rules (10.2.17) See
    • P.A. Martin (1988) Rev. Mod. Phys. 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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    • The same formalism can be used for systems other than polymers: see, For a review, see
    • K.S. Schweizer, J.G. Curro, K.S. Schweizer, J.G. Curro, L. Harnau and J.P. Hansen (1987) Phys. Rev. Lett. 58 246. Adv. Chem. Phys. 98 1. The same formalism can be used for systems other than polymers: see J. Chem. Phys. 116 9051. For a review, see
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    • Oxford: Oxford University Press, Note that the assumption of ideality is made solely for the purpose of computing the single-chain structure factor
    • M. Rubinstein and R.H. Colby (2003) Polymer Physics. Oxford: Oxford University Press Note that the assumption of ideality is made solely for the purpose of computing the single-chain structure factor.
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    • later expanded upon by, The derivation given in the text follows the method of Sullivan and Gray. See also, This remarkable fact was first pointed out by
    • D. Chandler, D.E. Sullivan, C.G. Gray, G.P. Morriss and J.W. Perram (1978) Faraday Disc. Chem. Soc. 66 74. and later expanded upon by Mol. Phys. 42 443. Mol. Phys. 43 669. The derivation given in the text follows the method of Sullivan and Gray. See also This remarkable fact was first pointed out by
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    • For later work on closure of the RISM-OZ relation, see, e.g
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    • TIP5P is one of a series of "transferable intermolecular potentials" devised for the simulation of water in different environments
    • M.W. Mahoney and W.L. Jorgensen (2000) J. Chem. Phys. 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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    • For a review, see
    • B. Guillot (2002) J. Mol. Liq. 101 219. For a review, see
    • (2002) J. Mol. Liq. , vol.101 , pp. 219
    • Guillot, B.1
  • 388
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    • See, e.g., ref. 45
    • A.K. Soper (2000) Chem. Phys. 258 121. See, e.g., ref. 45
    • (2000) Chem. Phys. , vol.258 , pp. 121
    • Soper, A.K.1
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    • Sect. 15.3, Oxford: Addison-Wesley, Equation (11.10.9) can also be derived from the virial expansion via a calculation of the equilibrium constant for the dimerisation process. See
    • T.L. Hill (1960) Introduction to Statistical Thermodynamics. Sect. 15.3 Oxford: Addison-Wesley Equation (11.10.9) can also be derived from the virial expansion via a calculation of the equilibrium constant for the dimerisation process. See
    • (1960) Introduction to Statistical Thermodynamics
    • Hill, T.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.