The Arctic sea-ice cover: Fractal space–time domain

Chmel, A. E.; Smirnov, V. F.; Astakhov, M.P.

doi:10.1016/j.physa.2005.04.009

Cited by 14 publications

(14 citation statements)

References 25 publications

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“…In our study, D should be considered as an area-filling index, and is therefore particularly suitable for the analysis of searching behavior. Fractal dimension is classically used in studies interested in plane or volume filling measurements (Chmel et al, 2005;Kim and Kim, 2005;Phattaralerphong and Sinoquet, 2005;Uttieri et al, 2005). A recent study using fractal dimension in threedimensions highlighted the subtle differences between degree of convolution and fractal dimension (Uttieri et al, 2005).…”

Section: Comments On the Methodsmentioning

confidence: 99%

Fractal landscape method: an alternative approach to measuring area-restricted searching behavior

Tremblay

Roberts

Costa

2007

Journal of Experimental Biology

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Section: Comments On the Methodsmentioning

confidence: 99%

Fractal landscape method: an alternative approach to measuring area-restricted searching behavior

Tremblay

Roberts

Costa

2007

Journal of Experimental Biology

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“…Herein we shall consider an event of large-scale fragmentation of the Arctic sea-ice cover (ASIC), which was detected and analyzed using a combination of satellite imaging and field observations carried out in the ice-research station North Pole 32 (NP 32) established on drifting ice pack. The ASIC is the open, dynamic system with well-pronounced scaling properties that manifest themselves in the temporal invariance of drift dynamics (Chmel et al 2005a), fractal distribution of ice-field deformations (Marsan and al., 2004), self-similar geometry (Chmel et al, 2005) and size distribution of ice pieces (Rothrock and Thorndike, 1984;Korsnes et al, 2004). The fracture events (ice cracking, ridge formation etc.)…”

Section: Sea-ice Cover Fragmentationmentioning

confidence: 99%

“…The space and time invariance of fracturing takes place on various scale levels, as beginning from the nanoscopic crack nucleation (Chmel, 2003) and microfracturing (Weiss et al, 2001;Kuksenko et al, 2006;Mandelbrot, 2006), and up to earthquakes (Sornette and Sornette, 1989;Kapiris et al, 2003) and basin-wide sea-ice-cover fragCorrespondence to: A. Chmel (chmel@mail.ioffe.ru) mentations (Korsnes et al, 2004;Chmel et al, 2005). As a rule, the scaling properties of damaged solids are regarded as a result of nucleation and gradual, monotonic development of some self-similar structures, such as the ensemble of hypocenters in rocks or ice (Zang et al, 1998;Weiss, 2003;Amitrano, 2006), or fatigue microcracks in metals (Botvina, 2004).…”

Section: Introductionmentioning

confidence: 99%

Anomalies of critical state in fracturing geophysical objects

Chmel

Kuksenko

Smirnov

et al. 2007

Nonlin. Processes Geophys.

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Abstract. Non-linear time-sequences of fracture-related events were studied in drifting sea-ice and fracturing rock. A reversible drop of the b-value was detected prior to the largescale sea-ice cover fragmentation, when the time sequence of impact interactions between ice-fields was fully decorrelated. A similar loss of the temporal invariance of the fracture process was revealed in the time sequence of microfracture events detected in a loaded rock sample. These temporal gaps in the continuous critical state of the considered selforganizing, open systems were attributed to the property of hierarchicity inherent in the geophysical objects. A combination of scaling and hierarchic features in the behavior of fracturing solids manifests itself in the heterogeneity of the temporal pattern of fracture process.

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“…The Arctic sea ice cover (ASIC) is the open thermodynamic system that exhibits well-pronounced scaling properties [1][2][3][4][5]. The ASIC dynamics is determined by the sea ice drift, which is caused, predominantly, by irregular wind forcing [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Correlated Energy Exchange in Drifting Sea Ice

Chmel

Smirnov

2011

International Journal of Oceanography

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The ice floe speed variations were monitored at the research camp North Pole 35 established on the Arctic ice pack in 2008. A three-month time series of measured speed values was used for determining changes in the kinetic energy of the drifting ice floe. The constructed energy distributions were analyzed by methods of nonextensive statistical mechanics based on the Tsallis statistics for open nonequilibrium systems, such as tectonic formations and drifting sea ice. The nonextensivity means the nonadditivity of externally induced energy changes in multicomponent systems due to dynamic interrelation of components having no structural links. The Tsallis formalism gives one an opportunity to assess the correlation between ice floe motions through a specific parameter, the so-called parameter of nonextensivity. This formalistic assessment of the actual state of drifting pack allows one to forecast some important trends in sea ice behavior, because the level of correlated dynamics determines conditions for extended mechanical perturbations in ice pack. In this work, we revealed temporal fluctuations of the parameter of nonextensivity and observed its maximum value before a large-scale sea ice fragmentation (faulting) of consolidated sea ice. The correlation was not detected in fragmented sea ice where long-range interactions are weakened.

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The Arctic sea-ice cover: Fractal space–time domain

Cited by 14 publications

References 25 publications

Fractal landscape method: an alternative approach to measuring area-restricted searching behavior

Fractal landscape method: an alternative approach to measuring area-restricted searching behavior

Anomalies of critical state in fracturing geophysical objects

Correlated Energy Exchange in Drifting Sea Ice

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