A student-oriented derivation of a reliable equation of state for a hard-disc fluid

European Journal of Physics

Volumn 19, Issue 3, 1998, Pages 281-286

  De Haro, Mariano López ^a   Santos, Andrés ^a   Yuste, Santos Bravo ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942632789     PISSN: 01430807     EISSN: None     Source Type: Journal    
DOI: 10.1088/0143-0807/19/3/011     Document Type: Article

References (25)

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2. For references to the original sources and illuminating discussions about van der Waals's equation of state and the equation of state for hard spheres, see: Brush SG 1976 The Kind of Motion We Call Heat Books 1 and 2 (Amsterdam: North-Holland) chs 7 and 11 Rowlinson J S 1988 Van der Waals and the physics of liquids Studies in Statistical Mechanics vol XIV, ed J S Rowlinson (Amsterdam: North-Holland) pp 1-119
3. For references to the original sources and illuminating discussions about van der Waals's equation of state and the equation of state for hard spheres, see: Brush SG 1976 The Kind of Motion We Call Heat Books 1 and 2 (Amsterdam: North-Holland) chs 7 and 11 Rowlinson J S 1988 Van der Waals and the physics of liquids Studies in Statistical Mechanics vol XIV, ed J S Rowlinson (Amsterdam: North-Holland) pp 1-119
4. Lord Rayleigh 1891 On the virial of a system of hard colliding bodies Nature 45 80-2 (reprinted 1902 Scientific Papers vol 3 (Cambridge: The University Press) p 469)
5. Lord Rayleigh 1891 On the virial of a system of hard colliding bodies Nature 45 80-2 (reprinted 1902 Scientific Papers vol 3 (Cambridge: The University Press) p 469)
6. Korteweg D T 1891 On van der Waals's isothermal equation Nature 45 152-4
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9. Janse van Rensburg E J 1993 Virial coefficients for hard discs and hard spheres J. Phys. A: Math. Gen. 26 4805-18
10. Sanchez I C 1994 Virial coefficients and close-packing of hard spheres and disks J. Chem. Phys. 101 7003-6
11. Baram A and Luban M 1979 Divergence of the virial series for hard discs and hard spheres at closest packing J. Phys. C: Solid State Phys. 12 L659-64
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13. Korteweg D I 1892 On van der Waals's isothermal equation Nature 45 277
14. Boltzmann L 1898 Vorlesungen über Gastheorie vol 2 (Leipzig: Barth) ch 5 (Engl. transi. Brush S G 1964 Lectures on Gas Theory (Berkeley, CA: University of California Press) pt 2, ch 5)
15. Boltzmann L 1898 Vorlesungen über Gastheorie vol 2 (Leipzig: Barth) ch 5 (Engl. transi. Brush S G 1964 Lectures on Gas Theory (Berkeley, CA: University of California Press) pt 2, ch 5)
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17. For an interesting account on this question, see: Nairn J H and Kilpatrick J E 1972 Van der Waals, Boltzmann, and the fourth virial coefficient of hard spheres Am. J. Phys. 40 503-15 and references therein
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19. Yuste S B, López de Haro M and Santos A 1995 An accurate and simple equation of state for hard disks J. Chem. Phys. 103 4622-5
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22. Kittel C 1966 Introduction to Solid State Physics 3rd edn (New York: Wiley) ch 1, problem 4 Hall H E 1974 Solid State Physics (New York: Wiley) problem 1.8(c) Ibach H and Lüth H 1993 Solid State Physics (Berlin: Springer) problem 2.7
23. Kittel C 1966 Introduction to Solid State Physics 3rd edn (New York: Wiley) ch 1, problem 4 Hall H E 1974 Solid State Physics (New York: Wiley) problem 1.8(c) Ibach H and Lüth H 1993 Solid State Physics (Berlin: Springer) problem 2.7
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25. Erpenbeck J J and Luban M 1985 Equation of state of the classical hard-disk fluid Phys. Rev. A 32 2920-2