Study Of Diffusion Mechanism Research Articles

A Comparative Study of Three Resolving Parameters of Graphs

Graph theory is one of those subjects that is a vital part of the digital world. It is used to monitor the movement of robots on a network, to debug computer networks, to develop algorithms, and to analyze the structural properties of chemical structures, among other things. It is also useful in airplane scheduling and the study of diffusion mechanisms. The parameters computed in this article are very useful in pattern recognition and image processing. A number d f , w = min d w , t , d w , s is referred as distance between f = t s an edge and w a vertex. d w , f 1 ≠ d w , f 2 implies that two edges f 1 , f 2 ∈ E are resolved by node w ∈ V . A set of nodes A is referred to as an edge metric generator if every two links/edges of Γ are resolved by some nodes of A and least cardinality of such sets is termed as edge metric dimension, e dim Γ for a graph Γ . A set B of some nodes of Γ is a mixed metric generator if any two members of V ∪ E are resolved by some members of B . Such a set B with least cardinality is termed as mixed metric dimension, m dim Γ . In this paper, the metric dimension, edge metric dimension, and mixed metric dimension of dragon graph T n , m , line graph of dragon graph L T n , m , paraline graph of dragon graph L S T n , m , and line graph of line graph of dragon graph L L T n , m have been computed. It is shown that these parameters are constant, and a comparative analysis is also given for the said families of graphs.

The study of diffusion mechanism in network-forming liquid: Silica liquid

Molecular dynamics simulation is employed to investigate the diffusion mechanism in silica melt, a typical network-forming liquid. From the analysis of SiOx→SiOx±1 and OSiy→OSiy±1 reactions we reveal two moving modes: fast hopping and slow collective moving. Accordingly the atoms diffuse in the melt by simple hopping or through displacing of super-molecule (SM). A cluster analysis is performed for several of atom sets. It is shown that the melt exhibits non-uniform spatial distribution of reaction which causes the dynamics heterogeneity (DH). Further, the network structure of the melt consists of main subnet and large defective subnets. These subnets differ strongly in local environment, chemical composition and atomic density. This result evidences two distinct phases, the structure heterogeneity in silica melt and supports the polymorphism of network-forming liquid. We also find out that the node transformation spreads non-uniformly through the network structure. It takes place mainly in large defective subnet. The strong localization of node transformation is responsible for dynamical slowdown.

Nuclear magnetic resonance techniques for the study of mechanisms of diffusion in solids

Abstract The identification of mechanisms of diffusion in solids by NMR methods has been used increasingly in recent years. We demonstrate the role of NMR methods in this general area by the consideration of a few selected examples. Particular attention is given to the work on crystals that have the fluorite structure, as these have been used to test the various available NMR procedures which now provide a sophisticated approach to the study of diffusion mechanisms. Other examples which we consider show how more general information on diffusion can also be obtained by NMR methods.

A study of diffusion mechanisms in sintering by shrinkage measurements

Shrinkage measurement is important in the study of sintering to ascertain the operative mechanism. Surface area reduction is related to shrinkage with the help of which operative mechanisms at different temperatures are inferred. Densification during sintering is mainly related to volume diffusion, grain boundary diffusion and plastic flow.