The Morphogen Theory of Phyllotaxis: I. Geometrical and Descriptive Phyllotaxis: II. Chemical Theory of Morphogenesis: III. (Bernard Richards) A Solution of the Morphogenical Equations for the Case of Spherical Symmetry

2013 ◽  
pp. 765-856
Author(s):  
S. Barry Cooper ◽  
Jan Van Leeuwen
Keyword(s):  
Spherical Symmetry ◽  
Chemical Theory

scholarly journals Horizons as boundary conditions in spherical symmetry

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Sharmila Gunasekaran ◽  
Ivan Booth
Keyword(s):  
Boundary Conditions ◽  
Spherical Symmetry

Short-range order and concentration fluctuations in binary molten alloys

1987 ◽  
Vol 65 (3) ◽  
pp. 309-325 ◽  
Author(s):  
R. N. Singh
Keyword(s):  
Lattice Theory ◽  
Order Parameter ◽  
Short Range ◽  
Short Range Order ◽  
Range Order ◽  
Concentration Fluctuations ◽  
Mixing Properties ◽  
Chemical Theory ◽  
Local Ordering ◽  
Interchange Energy

The quasi-chemical theory and the quasi-lattice theory are discussed with a view to obtaining information about concentration fluctuations, SCC(0), and the short-range order parameter, α1, for regular and compound-forming molten alloys. The influence of the coordination number z and the interchange energy ω on the mixing properties of the alloy is critically examined. SCC(0) and α1 have been found to be very useful in extracting microscopic information, like local ordering and segregation in molten systems. The problem of glass formation in compound-forming binary molten alloys is also briefly discussed.

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