Rapid chemical and topological ordering in supercooled liquid Cu46Zr54

Rapid chemical and topological ordering in supercooled liquid Cu46Zr54

V. Wessels,1,6,* A. K. Gangopadhyay,1 K. K. Sahu,1,6 R. W. Hyers,2 S. M. Canepari,2 J. R. Rogers,3 M. J. Kramer,4 A. I. Goldman,4 D. Robinson,4,5 J. W. Lee,7 J. R. Morris,7 and K. F. Kelton1 1Washington University, Department of Physics, St. Louis, Missouri 63130, USA 2University of Massachusetts, Department of Mechanical Engineering, Amherst, Massachusetts 01003, USA 3NASA Marshall Space Fligh...

THE RELATION BETWEEN TOPOLOGICAL ORDERING AND ADJACENCY MATRIX IN DIGRAPHS

In this paper the properties of node-node adjacency matrix in acyclic digraphs are considered. It is shown that topological ordering and node-node adjacency matrix are closely related. In fact, first the one to one correspondence between upper triangularity of node-node adjacency matrix and existence of directed cycles in digraphs is proved and then with this correspondence other properties of ...

The topological ordering of covering nodes

The topological ordering algorithm sorts nodes of a directed graph such that the order of the tail of each arc is lower than the order of its head. In this paper, we introduce the notion of covering between nodes of a directed graph. Then, we apply the topological orderingalgorithm on graphs containing the covering nodes. We show that there exists a cut set withforward arcs in these...

Icosahedral ordering in supercooled liquids and metallic glasses

Energy Landscape Diversity and Supercooled Liquid Properties

Families of model “rugged landscape” potential energy functions have been constructed and examined, in order to clarify the molecularlevel basis for the relationship between thermodynamic and kinetic behaviors of glassforming substances. The general approach starts by forming elementary basin units, each of which contains a single local minimum (inherent structure). These units are then spliced...