Modeling the fractal geometry of Arctic melt ponds using the level sets of random surfaces

2018 ◽  
Vol 5 (2) ◽  
pp. 121-142 ◽  
Author(s):  
Brady Bowen ◽  
Courtenay Strong ◽  
Kenneth Golden
2020 ◽  
Author(s):  
Kenneth Golden ◽  
Brady Bowen ◽  
Yiping Ma ◽  
Ryleigh Moore ◽  
Court Strong ◽  
...  

<p>In late spring small pools of melt water on the surface of Arctic sea ice begin to grow and coalesce to form large connected labyrinthine ponds. The fractal geometry of these iconic blue patterns is both beautiful to the eye and important to the evolution of sea ice albedo and its role in the climate system. Here we report on recent results in modeling the geometry of Arctic melt ponds. We consider two models, first where pond boundaries are the level curves of random surfaces representing snow topography, and then an Ising model, originally developed a century ago to understand ferromagnetic materials, adapted to describe melt ponds. Our melt pond Ising model requires only one measured input - a length scale from snow topography data. Then energy minimization produces realistic ponds whose sizes and transition in fractal dimension with increasing area agree closely with observations. Finally we examine how the random snow topography influences the evolution of pond fractal geometry and find that the saddle points of the surface play the critical role in transitional behavior.</p>


1992 ◽  
Vol 2 (12) ◽  
pp. 2181-2190 ◽  
Author(s):  
Christian Münkel ◽  
Dieter W. Heermann

2002 ◽  
Author(s):  
J.M. Blackledge ◽  
A.K. Evans ◽  
M.J. Turner
Keyword(s):  

2005 ◽  
Vol 1 (1) ◽  
pp. 21-24
Author(s):  
Hamid Reza Samadi

In exploration geophysics the main and initial aim is to determine density of under-research goals which have certain density difference with the host rock. Therefore, we state a method in this paper to determine the density of bouguer plate, the so-called variogram method based on fractal geometry. This method is based on minimizing surface roughness of bouguer anomaly. The fractal dimension of surface has been used as surface roughness of bouguer anomaly. Using this method, the optimal density of Charak area insouth of Hormozgan province can be determined which is 2/7 g/cfor the under-research area. This determined density has been used to correct and investigate its results about the isostasy of the studied area and results well-coincided with the geology of the area and dug exploratory holes in the text area


2014 ◽  
Vol 3 (3) ◽  
pp. 114-143
Author(s):  
Gabriel Crumpei ◽  
Maricel Agop ◽  
Alina Gavriluţ ◽  
Irina Crumpei

Abstract In this paper, we aim at an exercise that is transdisciplinary, involving science and religion, and interdisciplinary, involving disciplines and theories which appeared in the second half of the 20th century (e.g., topology, chaos theory, fractal geometry, non-linear dynamics, all of which can be found in the theory of complex systems). The latter required the reformulation of quantum mechanics theories starting with the beginning of the century, based on the substance-energy-information triangle. We focus on information and we also attempt a transdisciplinary approach to the imaginary from a psychological - physical - mathematical perspective, but the religious perspectives find their place along with the philosophical or even philological vision


1986 ◽  
Vol 12 (1) ◽  
pp. 176
Author(s):  
Malý
Keyword(s):  

1998 ◽  
Vol 24 (1) ◽  
pp. 83
Author(s):  
Darji ◽  
Morayne
Keyword(s):  

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