Table of Contents
ISRN Oceanography
Volume 2013, Article ID 540407, 6 pages
http://dx.doi.org/10.5402/2013/540407
Research Article

Nonextensive Dynamics of Drifting Sea Ice

1Fracture Physics Department, Ioffe Physico-Technical Institute, Russian Academy of Sciences, St. Petersburg 194021, Russia
2Arctic and Antarctic Research Institute, 38 Bering Street, St. Petersburg 199397, Russia

Received 30 July 2012; Accepted 8 October 2012

Academic Editors: M. Lipinski and J. L. Zhou

Copyright © 2012 Alexandre Chmel and Victor Smirnov. 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. B. Erlingsson, “Two-dimensional deformation patterns in sea ice,” Journal of Glaciology, vol. 34, no. 118, pp. 301–308, 1988. View at Google Scholar · View at Scopus
  2. A. Chmel, V. N. Smirnov, and L. V. Panov, “Characterization of the sea-ice floes issuing from their fractal properties,” International Journal of Offshore and Polar Engineering, vol. 13, no. 1, pp. 128–132, 2003. View at Google Scholar · View at Scopus
  3. C. Tsallis, Introduction to Nonextensive Statistical Mechanics—Approaching a Complex World, Springer, New York, NY, USA, 2009.
  4. C. Tsallis, “The nonadditive entropy Sq and its applications in physics and elsewhere: some remarks,” Entropy, vol. 13, pp. 1765–1804, 2011. View at Google Scholar
  5. L. Telesca, “Nonextensive analysis of seismic sequences,” Physica A, vol. 389, no. 9, pp. 1911–1914, 2010. View at Publisher · View at Google Scholar · View at Scopus
  6. F. Vallianatos and P. Sammonds, “Is plate tectonics a case of non-extensive thermodynamics?” Physica A, vol. 389, no. 21, pp. 4989–4993, 2010. View at Publisher · View at Google Scholar · View at Scopus
  7. C. J. Keylock, “Describing the recurrence interval of extreme floods using nonextensive thermodynamics and Tsallis statistics,” Advances in Water Resources, vol. 28, no. 8, pp. 773–778, 2005. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Chmel, V. N. Smirnov, and L. V. Panov, “Scaling aspects of the sea-ice-drift dynamics and pack fracture,” Ocean Science, vol. 3, no. 2, pp. 291–298, 2007. View at Google Scholar · View at Scopus
  9. J. R. Marco and R.E. Thompson, “Rectilinear leads and internal motions in the ice pack of the Western Arctic Ocean,” Journal of Geophysical Research, vol. 82, pp. 979–987, 1977. View at Google Scholar
  10. D. A. Rothrock and A. S. Thorndike, “Measuring the sea-ice floe size distribution,” Journal of Geophysical Research, vol. 89, no. 4, pp. 6477–6486, 1984. View at Google Scholar · View at Scopus
  11. M. L. Matsushita, “Fractal viewpoint of fracture and accretion,” Journal of the Physical Society of Japan, vol. 54, no. 3, pp. 857–860, 1985. View at Google Scholar · View at Scopus
  12. S. Abe and N. Suzuki, “Law for distance between successive earthquakes,” Journal of Geophysical Research, vol. 33, pp. 8733–8738, 2003. View at Google Scholar
  13. S. Abe and N. Suzuki, “Scale-free statistics of time interval between successive earthquakes,” Physica A, vol. 350, no. 2–4, pp. 588–596, 2005. View at Publisher · View at Google Scholar · View at Scopus
  14. A. Chmel, V. N. Smirnov, and I. Shcherbakov, “Hierarchy of non-extensive mechanical processes in fracturing sea ice,” Acta Geophysica, vol. 60, no. 3, pp. 719–739, 2012. View at Publisher · View at Google Scholar
  15. A. Chmel, V. N. Smirnov, and I. B. Sheikin, “Variability of scaling time series in the Arctic sea-ice drift dynamics,” Ocean Science, vol. 6, no. 1, pp. 211–217, 2010. View at Google Scholar · View at Scopus
  16. Y. F. Contoyiannis and K. Eftaxias, “Tsallis and Levy statistics in the preparation of an earthquake,” Nonlinear Processes in Geophysics, vol. 15, no. 3, pp. 379–388, 2008. View at Google Scholar · View at Scopus