Equilibrium Growth Morphologies of SiC Polytypes

1998 ◽  
Vol 264-268 ◽  
pp. 425-428 ◽  
Author(s):  
Stephan G. Müller ◽  
Robert Eckstein ◽  
R.F.P. Grimbergen ◽  
Dieter Hofmann ◽  
B. Rexer
Keyword(s):  
1977 ◽  
Vol 85 (6) ◽  
pp. 1311-1312
Author(s):  
A. Asimakopulos
Keyword(s):  

2013 ◽  
Vol 24 (3) ◽  
pp. 437-453 ◽  
Author(s):  
CARLOS ESCUDERO ◽  
ROBERT HAKL ◽  
IRENEO PERAL ◽  
PEDRO J. TORRES

We present the formal geometric derivation of a non-equilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary radial solutions by means of variational techniques. Our results depend on the size of a parameter that plays the role of the strength of forcing. For small forcing we prove the existence and multiplicity of solutions to the elliptic problem. We discuss our results in the context of non-equilibrium statistical mechanics.


1995 ◽  
Vol 407 ◽  
Author(s):  
H. Brune ◽  
K. Bromann ◽  
K. Kern ◽  
J. Jacobsen ◽  
P. Stoltze ◽  
...  

ABSTRACTThe similarity of patterns formed in non-equilibrium growth processes in physics, chemistry and biology is conspicuous and many attempts have been made to discover common mechanisms underlying their growth. The central question in this context is what causes some patterns to be dendritic, as e.g. snowflakes, while others grow fractal (randomly ramified). Here we report a crossover from fractal to dendritic patterns for growth in two dimensions: the diffusion limited aggregation of Ag atoms on a Pt(111) surface as observed by means of variable temperature STM. The microscopic mechanism of dendritic growth can be analyzed for the present system. It originates from the anisotropy of the diffusion of adatoms at corner sites which is linked to the trigonal symmetry of the substrate. This corner diffusion is observed to be active as soon as islands form, therefore, the classical DLA clusters with the hit and stick mechanism do not form. The ideas on the mechanism for dendritic growth have been verified by kinetic Monte-Carlo simulations which are in excellent agreement with experiment.


1985 ◽  
Vol 19 (1-2) ◽  
pp. 187-198 ◽  
Author(s):  
Miguel A. Kiguel ◽  
Ian Wooton

2020 ◽  
pp. 72-81
Author(s):  
G.G. Kamkin ◽  

The article is devoted to the analysis of urban “highways-barriers” (on the example of the South-West of Moscow) – the largest highways and railways, which are characterized by a combination of a high level of contact and barrier functions. Three of their key functions are identified: limiting, stabilizing, function of unevenness and no equilibrium growth. The main transport hubs have been identified on the basis of which highway barriers are divided according to the degree of contact (barrier) into three categories. It is shown that, as a rule, the larger the spatial size of the highway-barrier, the larger its volume of traffic flow, however, there are many exceptions. In the South-West of Moscow, with a relatively even settlement, the placement of metro stations plays a key role in overcoming the barrier. On less significant highways, the role of metro stations in overcoming the barrier is especially great. In some areas, highways-barriers form barrier topological tiers. A key feature of the South-West of Moscow is the presence of two barrier tiers. Inside the first barrier tier there are objects that mark it as a special urban area. A characteristic part of the first tier is the approach to the periphery in the area where Leninsky Prospekt and Vernadsky Prospekt meet. The second barrier tier is quite small and in- cludes the area between the Cheremushkinskiy market and Profsoyuznaya street. The existing system of highways-barriers was formed by the time of registration in 1968–1970. South-West of Moscow as a whole and manifests itself at the present time.


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