2022/09/04 by Kerner, Richard, Santos-Loff, Dina-Maria dos, Rosa, Ana Cristina
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci)
paper · doi:10.48550/arxiv.2209.01573
We analyze the dependence of relative proportion of various characteristic clusters in binary alcali-borate glasses on modifier's concentration x. A pure B2O3 glass contains a huge amount of boroxol rings and some amount of boron atoms in between, linking the boroxol rings via oxygen bonds. The addition of the Na2O modifier creates four-coordinated borons, but the resulting network glass remains totally connected. We study local transformations that lead to creation of new configurations like tetraborates, pentaborates, diborates, etc., and set forth a non-linear differential system similar to the Lotka-Volterra model. The resulting density curves of various local confugurations as functions of x are obtained. Then the average rigidity is evaluated, enabling us to compute the glass transition temperature Tg(x) for a given value of x