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The structure and statistical mechanics of glass

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Applications of Field Theory to Statistical Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 216))

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References

  1. See, e.g., the reviews in Ill-Condensed Matter, edited by G. Toulouse (North-Holland, New York, 1979).

    Google Scholar 

  2. For a readable introduction to the physics of glasses, see R. Zallen, The Physics of Amorphous Solids (Wiley, New York, 1983).

    Google Scholar 

  3. S.F. Edwards and P.W. Anderson, J. Phys. F5, 905 (1975).

    Google Scholar 

  4. D.R. Nelson, Phys. Rev. Lett. 50, 982 (1983); Phys. Rev. B28, 5515 (1983).

    Google Scholar 

  5. D.R. Nelson and M. Widom, Nucl. Phys. B (FS) (in press).

    Google Scholar 

  6. F.C. Frank, Proc. Roy. Soc. London, 215A, 43 (1952).

    Google Scholar 

  7. P.J. Steinhardt, D.R. Nelson, and M. Ronchetti, Phys. Rev. Lett. 47, 1297 (1981); Phys. Rev. B28, 784 (1983).

    Google Scholar 

  8. J.F. Sadoc and R. Mosseri, Phil. Mag. B45, 467 (1982).

    Google Scholar 

  9. E. Fradkin, B.A. Huberman, and S.H. Shenker, Phys. Rev. B18, 4789 (1978), and references therein.

    Google Scholar 

  10. S. Teitel and C. Jayaprakash, Phys. Rev. B27, 598 (1983).

    Google Scholar 

  11. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1975).

    Google Scholar 

  12. H.S.M. Coxeter, Introduction to Geometry (Wiley, New York, 1969).

    Google Scholar 

  13. H.S.M. Coxeter, Regular Polytopes (Dover, New York, 1973).

    Google Scholar 

  14. There are several statistical honeycomb models. See H.S.M. Coxeter, III. J. Math. 2, 746 (1958). The version used here is described on p.411 of Ref.12.

    Google Scholar 

  15. J.F. Sadoc, J. Phys. (Paris) Colloq. 41, C8–326 (1980).

    Google Scholar 

  16. M. Kleman and J.F. Sadoc, J. Phys. (Paris) Lett. 40, L569 (1979).

    Google Scholar 

  17. See, e.g., R. Collins, in Phase Transitions and Critical Phenomena, edited by C. Domb and M.S.Green (Academic, New York, 1972), Vol. II.

    Google Scholar 

  18. F.C. Frank and J. Kasper, Acta, Crystallogr. 11, 184 (1958); 12, 483 (1959).

    Google Scholar 

  19. See, e.g., D.R. Nelson, J. Non-Crystalline Solids 61 & 62, 475 (1984).

    Google Scholar 

  20. C.A. Rogers, Proc. London Math. Soc. 8, 609 (1958); see also N.J.A. Sloane, Scientific American, January, 1984, p. 116.

    Google Scholar 

  21. D.R. Nelson, in Topological Disorder in Condensed Matter, edited by T. Ninomiya and F. Yonezawa (Springer, Berlin, 1983).

    Google Scholar 

  22. M. Rubinstein and D.R. Nelson, Phys. Rev. B28, 6377 (1983).

    Google Scholar 

  23. The Collected Papers of L.D. Landau, edited by D. ter Haar (Gordon and Breach-Pergamon, New York, 1965, p. 193); See also G. Baym, H.A. Bethe, and C. Pethick, Nucl. Phys. A175, 1165 (1971).

    Google Scholar 

  24. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976).

    Google Scholar 

  25. See, e.g., D.R. Nelson and J. Toner, Phys. Rev. B24, 363 (1981), Sec III-D.

    Google Scholar 

  26. P. Du Vat, Homographies, Quaternions and Rotations (Oxford University Press, Oxford, 1964).

    Google Scholar 

  27. L.C. Biedenharn, J. Math. Phys. 2, 433 (1961); M. Bander and C. Itzykson, Rev. Mod. Phys. 38, 330 (1966).

    Google Scholar 

  28. J.P. Straley, to be published.

    Google Scholar 

  29. J. Sethna, Phys. Rev. Lett. 51, 2198 (1983).

    Google Scholar 

  30. N.D. Mermin, Rev. Mod. Phys. 51, 591 (1979).

    Google Scholar 

  31. S. Sachdev and D.R. Nelson, to be published.

    Google Scholar 

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Luis Garrido

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© 1985 Springer-Verlag

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Nelson, D.R. (1985). The structure and statistical mechanics of glass. In: Garrido, L. (eds) Applications of Field Theory to Statistical Mechanics. Lecture Notes in Physics, vol 216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13911-7_72

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  • DOI: https://doi.org/10.1007/3-540-13911-7_72

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