A Hybrid Ray Launching-Diffusion Equation Approach for Propagation Prediction in Complex Indoor Environments

2017 ◽  
Vol 16 ◽  
pp. 214-217 ◽  
Author(s):  
Leyre Azpilicueta ◽  
Francisco Falcone ◽  
Ramakrishna Janaswamy
Keyword(s):  
Diffusion Equation ◽  
Indoor Environments ◽  
Equation Approach ◽  
Propagation Prediction ◽  
Ray Launching

scholarly journals A novel 3D ray launching technique for radio propagation prediction in indoor environments

PLoS ONE ◽  
2018 ◽  
Vol 13 (8) ◽  
pp. e0201905 ◽  
Author(s):  
Tan Kim Geok ◽  
Ferdous Hossain ◽  
Alan Tan Wee Chiat
Keyword(s):  
Radio Propagation ◽  
Indoor Environments ◽  
Propagation Prediction ◽  
Ray Launching

A diffusion equation approach to spin diffusion in biomolecules

1989 ◽  
Vol 84 (2) ◽  
pp. 255-267 ◽  
Author(s):  
V.V Krishnan ◽  
N Murali ◽  
Anil Kumar
Keyword(s):  
Diffusion Equation ◽  
Spin Diffusion ◽  
Equation Approach

scholarly journals THE GEODESIC RULE FOR HIGHER CODIMENSIONAL GLOBAL DEFECTS

2008 ◽  
Vol 23 (25) ◽  
pp. 2053-2066
Author(s):  
ANTHONY J. CREACO ◽  
NIKOS KALOGEROPOULOS
Keyword(s):  
Liquid Crystals ◽  
Diffusion Equation ◽  
Convex Hull ◽  
Geometric Structure ◽  
Order Parameter ◽  
The Other ◽  
Equation Approach ◽  
Totally Geodesic ◽  
Geodesic Submanifolds ◽  
Totally Geodesic Submanifolds

We generalize the geodesic rule to the case of formation of higher codimensional global defects. Relying on energetic arguments, we argue that, for such defects, the geometric structures of interest are the totally geodesic submanifolds. On the other hand, stochastic arguments lead to a diffusion equation approach, from which the geodesic rule is deduced. It turns out that the most appropriate geometric structure that one should consider is the convex hull of the values of the order parameter on the causal volumes whose collision gives rise to the defect. We explain why these two approaches lead to similar results when calculating the density of global defects by using a theorem of Cheeger and Gromoll. We present a computation of the probability of formation of strings/vortices in the case of a system, such as nematic liquid crystals, whose vacuum is ℝP2.

scholarly journals Scratch assay microscopy: A reaction–diffusion equation approach for common instruments and data

2020 ◽  
Vol 330 ◽  
pp. 108482 ◽  
Author(s):  
Alessio Gnerucci ◽  
Paola Faraoni ◽  
Elettra Sereni ◽  
Francesco Ranaldi
Keyword(s):  
Diffusion Equation ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Equation Approach ◽  
Scratch Assay
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