Smoothing of a Grooved Singular Surface Whose Neighboring Orientations are Unstable

2006 ◽  
pp. 71-81
Author(s):  
C. Duport ◽  
Anna Chame ◽  
W. W. Mullins ◽  
J. Villain
Keyword(s):  
Singular Surface

Nodal cubic surfaces

1979 ◽  
Vol 83 (3-4) ◽  
pp. 333-346
Author(s):  
W. L. Edge
Keyword(s):  
Singular Surface ◽  
Cubic Surface ◽  
Cubic Surfaces ◽  
Geometrical Relation ◽  
Elliptic Cone

SynopsisThe cubic surfaces in, save for the elliptic cone, are, whatever their singularities, projections of del Pezzo's non-singular surface F, of order 9 in. It is explained how, merely by specifying the geometrical relation of the vertex of projection to F, each cubic surface is obtainable “at a stroke”, without using spaces of intermediate dimensions.

Growth Kinetics of Molecular Beam Epitaxy on Non-Singular Surfaces

1992 ◽  
Vol 280 ◽  
Author(s):  
J. F. Egler ◽  
N. Otsuka ◽  
K. Mahalingam
Keyword(s):  
Surface Roughness ◽  
Monte Carlo ◽  
Growth Kinetics ◽  
Molecular Beam ◽  
Singular Surface ◽  
Sticking Coefficient ◽  
Singular Surfaces ◽  
Vicinal Surfaces ◽  
Kinetics Of ◽  
Multiple Configurations

ABSTRACTGrowth kinetics on non-singular surfaces were studied by Monte Carlo simulations. In contrast to the growth on singular and vicinal surfaces, the sticking coefficient on the non-singular surfaces was found to decrease with increase of the surface roughness. Simulations of annealing processes showed that surface diffusion of atoms leads to a stationary surface roughness, which is explained by multiple configurations having the lowest energy in the non-singular surface.

Interaction of a singular surface with a strong shock in the interstellar gas clouds

2021 ◽  
Vol 63 ◽  
pp. 342-358
Author(s):  
Jasobanta Jena ◽  
Sheena Mittal
Keyword(s):  
Strong Shock ◽  
Singular Surface ◽  
Acceleration Wave ◽  
Interstellar Gas ◽  
Surface Theory ◽  
Expansion Waves ◽  
Lie Group Of Transformations ◽  
Compression And Expansion ◽  
Particular Solution ◽  
Flow Variables

We investigate the interaction between a singular surface and a strong shock in the self-gravitating interstellar gas clouds with the assumption of spherical symmetry. Using the method of the Lie group of transformations, a particular solution of the flow variables and the cooling–heating function for an infinitely strong shock is obtained. This paper explores an application of the singular surface theory in the evolution of an acceleration wave front propagating through an unperturbed medium. We discuss the formation of an acceleration, considering the cases of compression and expansion waves. The influence of the cooling–heating function on a shock formation is explained. The results of a collision between a strong shock and an acceleration wave are discussed using the Lax evolutionary conditions.   doi:10.1017/S1446181121000328

On interface conditions on a material singular surface

2019 ◽  
Vol 32 (5) ◽  
pp. 1417-1434
Author(s):  
Andreas Prahs ◽  
Thomas Böhlke
Keyword(s):  
Singular Surface ◽  
Interface Conditions

A nonlinear model for the singular surface response

1996 ◽  
Vol 3 (5) ◽  
pp. 1524-1529 ◽  
Author(s):  
T. H. Jensen ◽  
R. J. La Haye ◽  
A. W. Hyatt
Keyword(s):  
Nonlinear Model ◽  
Singular Surface ◽  
Surface Response
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