Short-range order and electronic properties of epitaxial graphene

One of the most rapidly developing areas of modern materials science is the study of graphene and materials on its basis. The experimental investigations have revealed different types of defects on the surface of graphene that form the ordered structures of atomic configurations. In the present work, the value of short-range order parameter for different configurations of foreign atoms in a graphene layer was calculated. The effect of various factors on the density of electronic states and electrical resistance in graphene was also investigated. The type of the ordering of foreign atoms in graphene rather than the concentration of impurities, was shown to be responsible for the change in the conductivity of graphene

Measurements, Models, Systems and Design

531 s.

On solutions of the cohort parity analysis model

The cohort parity analysis (CPA) model of David et al. (1988) is studied formally as a three-state parity-progression table. The general solution is found in a form of convex combination of a finite set of solutions which are described explicitly. A parameterization is suggested for a broad subset of solutions which includes two extreme solutions studied in the original publication and maintains the dimension of the entire set. The CPA solution is also treated as a random variate distributed uniformly on the set of all possible solutions. An algorithm is given for computing the marginal distributions without Monte Carlo simulation.Cohort parity analysis, Parity-progression table, Stochastic inequality, Uniform distribution on a polytope, Uniform order statistics,