scholarly journals The peculiar phase structure of random graph bisection

2008 ◽  
Vol 49 (12) ◽  
pp. 125219 ◽  
Author(s):  
Allon G. Percus ◽  
Gabriel Istrate ◽  
Bruno Gonçalves ◽  
Robert Z. Sumi ◽  
Stefan Boettcher
2020 ◽  
pp. 130-135
Author(s):  
D.N. Korotaev ◽  
K.N. Poleshchenko ◽  
E.N. Eremin ◽  
E.E. Tarasov

The wear resistance and wear characteristics of cluster-gradient architecture (CGA) nanostructured topocomposites are studied. The specifics of tribocontact interaction under microcutting conditions is considered. The reasons for retention of high wear resistance of this class of nanostructured topocomposites are studied. The mechanisms of energy dissipation from the tribocontact zone, due to the nanogeometry and the structural-phase structure of CGA topocomposites are analyzed. The role of triboactivated deformation and diffusion processes in providing increased wear resistance of carbide-based topocomposites is shown. They are tested under the conditions of blade processing of heat-resistant titanium alloy.


2019 ◽  
Vol 92 (10) ◽  
pp. 1342-1350 ◽  
Author(s):  
V. N. Strel’nikov ◽  
V. Yu. Senichev ◽  
A. I. Slobodinyuk ◽  
A. V. Savchuk ◽  
E. V. Pogorel’tsev

2000 ◽  
Vol 65 (11) ◽  
pp. 1820-1832
Author(s):  
Miloslav Pekař ◽  
Pavel Kopecký

Rheokinetics of polybutadiene-based polyurethanes was studied. Sixteen mixtures differing in the miscibility of reactive components and hard segments contents were prepared. Regardless of the miscibility of the components, the rheokinetics behaviour is qualitatively very similar. The viscous response part is formed and finished much earlier than the elastic part. The quantitative dissimilarities, caused by cooperative effect of miscibility and differences in reactivity, are described. Using a well miscible initial mixture need not give the best results as a reactive crosslinker can easily react with isocyanate and separate from the rest of the reaction mixture thus impairing the final phase structure.


Author(s):  
Mark Newman

An introduction to the mathematics of the Poisson random graph, the simplest model of a random network. The chapter starts with a definition of the model, followed by derivations of basic properties like the mean degree, degree distribution, and clustering coefficient. This is followed with a detailed derivation of the large-scale structural properties of random graphs, including the position of the phase transition at which a giant component appears, the size of the giant component, the average size of the small components, and the expected diameter of the network. The chapter ends with a discussion of some of the shortcomings of the random graph model.


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