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Crystal nucleation in a three-dimensional Lennard-Jones system: A molecular dynamics study

J. Chem. Phys. 64, 3699 (1976); doi:10.1063/1.432681

Issue Date: 1 May 1976

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M. J. Mandell and J. P. McTague
Department of Chemistry, University of California, Los Angeles, California 90024

A. Rahman
Argonne National Laboratory, Argonne, Illinois 60439
We have observed crystal nucleation in a Lennard-Jones fluid by molecular dynamics. In a 108-particle system cooled slowly below its triple point, crystallization occurs at kT/epsilon=0.50 and 0.57 for densities Nsigma3/V =0.90 and 0.91, respectively. For larger systems (256 and 500 particles) crystallization has also been achieved. The supercooling limit decreases with increasing system size. These results are compatible with classical nucleation theory. The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
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PACS

  • 82.60.Nh
    Physical chemistry Chemical thermodynamics Nucleation
  • 34.20.-b
    Atomic and molecular collision processes and interactions Interatomic and intermolecular potentials and forces
  • YEAR: 1976

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (11)

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  1. W. G. Hoover, S. G. Gray, and K. W. Johnson, J. Chem. Phys. 55, 1128 (1971), have shown in a Monte Carlo study that, with a sufficiently soft potential, a 32-particle system can crystallize. No crystallization was observed on systems with potentials stiffer than r−6, nor with more than 32 particles.
  2. F. W. deWette, R. E. Allen, D. S. Hughes, and A. Rahman, Phys. Lett. A 29, 548 (1969).
  3. P. L. Fehder, J. Chem. Phys. 52, 791 (1970).
  4. F. Tsien and J. P. Valleau, Mol. Phys. 27, 177 (1974). The referee has pointed out that this was not a high-temperature study, for the solid-liquid transition was observed. However, because this work used the Monte Carlo method rather than molecular dynamics, it could not exhibit the nucleation process.
  5. A. Rahman, M. J. Mandell, and J. P. McTague, J. Chem. Phys. 64, 1564 (1976).
  6. W. B. Streett, H. J. Raveche, and R. D. Mountain, J. Chem. Phys. 61, 1960 (1974).
  7. J. Frenkel, Kinetic Theory of Liquids (Dover, New York, 1955), Chap. VII, Sec. 6.
  8. S. Ono and S. Kondo, Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin 1960), Vol. X.
  9. A detailed discussion of the application of nucleation theory to condensed phases appears in J. W. Christian, Theory of Transformations in Metals And Alloys (Pergamon, New York, 1965).
  10. H. Reiss, J. Chem. Phys. 18, 996 (1950).
  11. F. Spaepen, Acta Metall. 23, 729 (1975).

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