NDLI: Ray propagation in a random lattice: a maximum entropy, anomalous diffusion Process

Content Provider	IEEE Xplore Digital Library
Author	Marano, S. Franceschetti, M.
Copyright Year	1963
Abstract	The typical model for diffusion in disordered systems is that of a random walk that proceeds in discrete steps over a random lattice, where not all the nearest sites can be reached at each step. We study the related problem of ray propagation in percolating lattices, and observe that it follows an anomalous diffusion process, whose appropriate metric is the "Manhattan" distance defined by the lattice geometry. The proposed solution is the one that exhibits the maximum Shannon's entropy, among all propagation processes with appropriate moment constraints imposed by the geometry of the lattice. Ray propagation in percolating lattices has been recently proposed as a model for urban area propagation of radio waves. We discuss implications of our results in this scenario.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	1888
Ending Page	1896
Page Count	9
File Size	585800
File Format	PDF
ISSN	0018926X
Volume Number	53
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lattices Entropy Electromagnetic propagation Urban areas Cities and towns Diffusion processes Geometry Optical propagation Random media Electromagnetic scattering percolation lattices Electromagnetic propagation in random media maximum entropy methods
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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