Abstract
We have employed a computer simulation method for uniaxial compression to create random, but spatially inhomogeneous, disk and sphere packings in contact with exposed faces of their own close-packed crystals. The disk calculations involved 7920 movable particles, while the sphere cases utilized over 4000 particles. Rates of compression to the jamming limit were varied over two orders of magnitude, and in three dimensions this produced a clear distinction between the cases of jamming against (001) and (111) faces of the sphere crystal. Specifically, epitaxial order next to the (001) face was markedly enhanced by slowing the compression; for the (111) face the epitaxial order was quite insensitive to the compression rate.
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References
S. Chapman and T. G. Cowling,The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1953), Chapters 5 and 6.
H. L. Frisch,Adv. Chem. Phys. 6:229 (1964).
K. Huang and C. N. Yang,Phys. Rev,105:767 (1957).
T. D. Lee, K. Huang, and C. N. Yang,Phys. Rev. 106:1135 (1957).
B. J. Alder and T. E. Wainwright,J. Chem. Phys. 31:459 (1959).
L. V. Woodcock,Ann. N.Y. Acad. Sci. 371:274 (1981).
B. D. Lubachevsky and F. H. Stillinger,J. Stat. Phys. 60:561 (1990).
B. D. Lubachevsky, F. H. Stillinger, and E. N. Pinson,J. Stat. Phys. 64:501 (1991).
P. H. Gaskell, inGlassy Metals, H. Beck ad H.-J. Güntherodt, eds. (Springer, Berlin, 1983), Vol. II, pp. 5–49.
C. H. Bennett,J. Appl. Phys. 43:2727 (1972).
J. L. Finney,Nature 266:309 (1977).
D. J. Adams and A. J. Matheson,J. Chem. Phys. 56:1989 (1972).
F. Delyon and Y. E. Lévy,J. Phys. A 23:4471 (1990).
E. L. Hinrichsen, J. Feder, and T. Jossang,Phys. Rev. A 41:4199 (1990).
A. Pavlovitch, R. Jullien, and P. Meakin,Physica A 176:206 (1991).
J. S. Rowlinson and B. Widom,Molecular Theory of Capillarity (Clarendon Press, Oxford, 1982), p. 31.
W. M. Visscher and M. Bolsterli,Nature 239:504 (1972).
N. W. Ashcroft and N. D. Mermin,Solid State Physics (Saunders, Philadelphia, 1976).
J. G. Berryman,Phys. Rev. A 27:1053 (1983).
J. Tobochnik and P. M. Chapin,J. Chem. Phys. 88:5824 (1988).
J. Nezbeda and W. R. Smith,Mol. Phys. 75:789 (1992).
W. G. Pfann,Zone Melting (Wiley, New York, 1958).
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Stillinger, F.H., Lubachevsky, B.D. Crystalline—amorphous interface packings for disks and spheres. J Stat Phys 73, 497–514 (1993). https://doi.org/10.1007/BF01054337
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DOI: https://doi.org/10.1007/BF01054337