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ISRN Computational Mathematics
Volume 2012 (2012), Article ID 981501, 4 pages
doi:10.5402/2012/981501
Research Article

Stochastic Signatures of Phase Space Decomposition

John J. Kozak1 and Roberto A. Garza-López2

1Depaul University, College of Digital Media and Computing, 243 South Wabash Avenue, Chicago, IL 60604-2301, USA
2Department of Chemistry and Seaver Chemistry Laboratory, Pomona College, Claremont, CA 91711, USA

Received 28 July 2011; Accepted 15 September 2011

Academic Editors: M.-B. Hu and O. Kuksenok

Copyright © 2012 John J. Kozak and Roberto A. Garza-López. 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. A. N. Goldstein, Handbook of Nanophase Materials, Dekker, New York, NY, USA, 1977.
  2. P. Jensen, “Growth of nanostructures by cluster deposition : a review,” Reviews of Modern Physics, vol. 71, no. 5, pp. 1695–1735, 1999.
  3. J. J. Kozak, C. Nicolis, and G. Nicolis, “Modeling the early stages of self-assembly in nanophase materials,” Journal of Chemical Physics, vol. 126, no. 15, Article ID 154701, 2007. View at Publisher · View at Google Scholar · View at PubMed
  4. J. J. Kozak and G. Nicolis, “Modeling the early stages of self-assembly in nanophase materials. II. Role of symmetry and dimensionality,” Journal of Chemical Physics, vol. 134, no. 6, Article ID 064701, 8 pages, 2011. View at Publisher · View at Google Scholar · View at PubMed
  5. J. J. Kozak, “Chemical reactions and reaction efficiency in compartmentalized systems,” Advances in Chemical Physics, vol. 115, pp. 245–406, 2000. View at Scopus
  6. R. A. Garza-López, P. Bouchard, G. Nicolis, M. Sleutel, J. Brzezinski, and J. J. Kozak, “Kinetics of docking in postnucleation stages of self-assembly,” Journal of Chemical Physics, vol. 128, no. 11, Article ID 114701, 2008. View at Publisher · View at Google Scholar · View at PubMed
  7. E. W. Montroll and G. H. Weiss, “Random walks on lattices. II,” Journal of Mathematical Physics, vol. 6, no. 2, pp. 167–181, 1965. View at Scopus
  8. R. A. Garza-López and J. J. Kozak, “Invariance relations for random walks on hexagonal lattices,” Chemical Physics Letters, vol. 371, no. 3-4, pp. 365–370, 2003. View at Publisher · View at Google Scholar · View at Scopus
  9. R. A. Garza-López and J. J. Kozak, “Invariance relations for random walks on square-planar lattices,” Chemical Physics Letters, vol. 406, no. 1–3, pp. 38–43, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. R. A. Garza-López, A. Linares, A. Yoo, G. Evans, and J. J. Kozak, “Invariance relations for random walks on simple cubic lattices,” Chemical Physics Letters, vol. 421, no. 1–3, pp. 287–294, 2006. View at Publisher · View at Google Scholar · View at Scopus