Area coverage of radial Levy flights with periodic boundary conditions

We consider the time evolution of two-dimensional Levy flights in a finite area with periodic boundary conditions. From simulations we show that the fractal path dimension d_f and thus the degree of area coverage grows in time until it reaches the saturation value d_f=2 at sufficiently long times. W...

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Veröffentlicht in:	arXiv.org 2012-11
Hauptverfasser:	Vahabi, Mahsa, Schulz, Johannes H P, Shokri, Babak, Metzler, Ralf
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Evolution Physics - Statistical Mechanics Probability density functions
Online-Zugang:	Volltext
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