About this Journal Submit a Manuscript Table of Contents
ISRN Condensed Matter Physics
Volume 2012 (2012), Article ID 342642, 7 pages
http://dx.doi.org/10.5402/2012/342642
Research Article

Ordering in Two-Dimensional Lennard-Jones Clusters

Experimental Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Bidhannagar, Kolkata 700064, India

Received 1 December 2011; Accepted 27 December 2011

Academic Editors: H. D. Hochheimer, L. Pusztai, and V. Stephanovich

Copyright © 2012 Barnana Pal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. G. Garcia and J. M. S. Torroja, “Monte Carlo calculation of argon clusters in homogeneous nucleation,” Physical Review Letters, vol. 47, no. 3, pp. 186–190, 1981. View at Publisher · View at Google Scholar · View at Scopus
  2. S. M. Kathmann and B. N. Hale, “Monte Carlo simulations of small sulfuric acid-water clusters,” Journal of Physical Chemistry B, vol. 105, no. 47, pp. 11719–11728, 2001. View at Publisher · View at Google Scholar · View at Scopus
  3. Y. Kataoka and Y. Yamada, “Monte Carlo simulation on the free energy of homogeneous nucleation in the supersaturated Lennard-Jones vapor phase,” Fluid Phase Equilibria, vol. 194–197, pp. 207–217, 2002. View at Publisher · View at Google Scholar · View at Scopus
  4. B. N. Hale and D. J. DiMattio, “Scaling of the nucleation rate and a Monte Carlo discrete sum approach to water cluster free energies of formation,” Journal of Physical Chemistry B, vol. 108, no. 51, pp. 19780–19785, 2004. View at Publisher · View at Google Scholar · View at Scopus
  5. A. Lauri, J. Merikanto, E. Zapadinsky, and H. Vehkamäki, “Comparison of Monte Carlo simulation methods for the calculation of the nucleation barrier of argon,” Atmospheric Research, vol. 82, no. 3-4, pp. 489–502, 2006. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Merikanto, E. Zapadinsky, A. Lauri, and H. Vehkamäki, “Origin of the failure of classical nucleation theory: incorrect description of the smallest clusters,” Physical Review Letters, vol. 98, no. 14, Article ID 145702, 2007. View at Publisher · View at Google Scholar
  7. M. Schrader, P. Virnau, and K. Binder, “Simulation of vapor-liquid coexistence in finite volumes: a method to compute the surface free energy of droplets,” Physical Review E, vol. 79, no. 6, Article ID 061104, 2009. View at Publisher · View at Google Scholar
  8. B. N. Hale and M. Thomason, “Scaled vapor-to-liquid nucleation in a lennard-jones system,” Physical Review Letters, vol. 105, no. 4, Article ID 046101, 2010. View at Publisher · View at Google Scholar
  9. S. A. Khrapak, M. Chaudhuri, and G. E. Morfill, “Liquid-solid phase transition in the Lennard-Jones system,” Physical Review B, vol. 82, no. 5, Article ID 052101, 2010. View at Publisher · View at Google Scholar
  10. E. A. Mastny and J. J. de Pablo, “Melting line of the Lennard-Jones system, infinite size, and full potential,” Journal of Chemical Physics, vol. 127, no. 10, Article ID 104504, 2007. View at Publisher · View at Google Scholar · View at PubMed
  11. H. Okumura and F. Yonezawa, “Liquid-vapor coexistence curves of several interatomic model potentials,” Journal of Chemical Physics, vol. 113, no. 20, pp. 9162–9168, 2000. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Verlet, “Computer "experiments" on classical fluids. I. Thermodynamical properties of Lennard-Jones molecules,” Physical Review, vol. 159, no. 1, pp. 98–103, 1967. View at Publisher · View at Google Scholar · View at Scopus
  13. J. A. Barker and D. Henderson, “Perturbation theory and equation of state for fluids. II. A successful theory of liquids,” The Journal of Chemical Physics, vol. 47, no. 11, pp. 4714–4721, 1967. View at Scopus
  14. J. P. Hansen, “Phase transition of the Lennard-Jones system. II. High-temperature limit,” Physical Review A, vol. 2, no. 1, pp. 221–230, 1970. View at Publisher · View at Google Scholar · View at Scopus
  15. J. K. Johnson, J. A. Zollweg, and K. E. Gubbins, “The Lennard-Jones equation of state revisited,” Molecular Physics, vol. 78, pp. 591–618, 1993.
  16. R. Agrawala and D. A. Kofkea, “Thermodynamic and structural properties of model systems at solid-fluid coexistence II. Melting and sublimation of the Lennard-Jones system,” Molecular Physics, vol. 85, p. 43, 1995.
  17. F. A. Lindemann, “The calculation of molecular vibration frequencies,” Zeitschrift für Physik, vol. 11, pp. 609–912, 1910.
  18. A. C. Lawson, D. P. Butt, J. W. Richardson, and J. Li, “Thermal expansion and atomic vibrations of zirconium carbide to 1600 K,” Philosophical Magazine, vol. 87, no. 17, pp. 2507–2519, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. M. Ross, “Generalized Lindemann melting law,” Physical Review, vol. 184, no. 1, pp. 233–242, 1969. View at Publisher · View at Google Scholar · View at Scopus
  20. B. Pal, “Relaxation dynamics in small clusters: a modified Monte Carlo approach,” Journal of Computational Physics, vol. 227, no. 4, pp. 2666–2673, 2008. View at Publisher · View at Google Scholar · View at Scopus
  21. M. N. Saha and B. N. Srivastava, A Treatise on Heat, Indian Press, Allahabad, India, 1958.
  22. C. Chakravarty, P. G. Debenedetti, and F. H. Stillinger, “Lindemann measures for the solid-liquid phase transition,” Journal of Chemical Physics, vol. 126, no. 20, Article ID 204508, 2007. View at Publisher · View at Google Scholar · View at PubMed
  23. S. N. Luo, A. Strachan, and D. C. Swift, “Vibrational density of states and Lindemann melting law,” Journal of Chemical Physics, vol. 122, no. 19, Article ID 194709, pp. 1–5, 2005. View at Publisher · View at Google Scholar · View at Scopus
  24. F. H. Stillinger and T. A. Weber, “Lindemann melting criterion and the Gaussian core model,” Physical Review B, vol. 22, no. 8, pp. 3790–3794, 1980. View at Publisher · View at Google Scholar · View at Scopus
  25. N. D. Mermin, “Crystalline order in two dimensions,” Physical Review, vol. 176, no. 1, pp. 250–254, 1968. View at Publisher · View at Google Scholar · View at Scopus