14 research outputs found
The Shapes of Cooperatively Rearranging Regions in Glass Forming Liquids
The shapes of cooperatively rearranging regions in glassy liquids change from
being compact at low temperatures to fractal or ``stringy'' as the dynamical
crossover temperature from activated to collisional transport is approached
from below. We present a quantitative microscopic treatment of this change of
morphology within the framework of the random first order transition theory of
glasses. We predict a correlation of the ratio of the dynamical crossover
temperature to the laboratory glass transition temperature, and the heat
capacity discontinuity at the glass transition, Delta C_p. The predicted
correlation agrees with experimental results for the 21 materials compiled by
Novikov and Sokolov.Comment: 9 pages, 6 figure
Weighted temporal event graphs
The times of temporal-network events and their correlations contain
information on the function of the network and they influence dynamical
processes taking place on it. To extract information out of correlated event
times, techniques such as the analysis of temporal motifs have been developed.
We discuss a recently-introduced, more general framework that maps
temporal-network structure into static graphs while retaining information on
time-respecting paths and the time differences between their consequent events.
This framework builds on weighted temporal event graphs: directed, acyclic
graphs (DAGs) that contain a superposition of all temporal paths. We introduce
the reader to the temporal event-graph mapping and associated computational
methods and illustrate its use by applying the framework to temporal-network
percolation