English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We propose a statistical model defined on the three-dimensional diamondnetwork where the splitting of randomly selected nodes leads to a spatiallydisordered network, with decreasing degree of connectivity. The terminal state,that is reached when all nodes have been split, is a dense configuration ofself-avoiding walks on the diamond network. Starting from the crystallographicdiamond network, each of the four-coordinated nodes is replaced withprobability p by a pair of two edges, each connecting a pair of the adjacentvertices. For all values of 0 <= p <= 1 the network percolates, yet thefraction fp of the system that belongs to a percolating cluster drops sharplyat pc=1 to a finite value. This transition has the signature of a phasetransition with scaling exponents for p close to pc that are different from thecritical exponents of the second-order phase transition of standard percolationmodels. As is the case for percolation transitions, this transitionsignificantly affects the mechanical properties of linear-elastic realisations,obtained by replacing edges with solid circular struts to give an effectivedensity phi. Finite element methods demonstrate that, as a low-density cellularstructure, the bulk modulus K shows a cross-over from a compression-dominatedbehaviour (with K proportional to phi) at p=0 to a bending-dominated behaviour(with quadratic dependence of K on phi) at p=1.

Percolation transition by random vertex splitting of diamond networks?