Geometrical frustration and static correlations in a simple glass former.

Geometrical frustration and static correlations in hard-sphere glass formers.

We analytically and numerically characterize the structure of hard-sphere fluids in order to review various geometrical frustration scenarios of the glass transition. We find generalized polytetrahedral order to be correlated with increasing fluid packing fraction, but to become increasingly irrelevant with increasing dimension. We also find the growth in structural correlations to be modest in...

Growing static and dynamic length scales in a glass-forming liquid.

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of frustration opposing the spatial extension of this order is tunable, we provide insight into the structural origin of the main characteristics of the dynamics leading...

Frustration , connectivity , and the glass transition ’

The concepts of connectivity, localization, and frustration are explored in relation to glass formation in amorphous materials. First, the concept of eigenclusters to geometrically characterize correlations in amorphous materials is introduced, and discussed in detail for both the Ising ferromagnet and Ising spin glass models. Second, a new, glass-forming percolation model that contains frustra...

Ab initio simulations of geometrical frustration in supercooled liquid Fe and Fe-based metallic glass

We investigate short range order in liquid and supercooled liquid Fe and Fe-based metallic glass using ab initio simulation methods. We analyze the data to quantify the degree of local icosahedral and polytetrahedral order and to understand the role of alloying in controlling the degree of geometric frustration. Comparing elemental Fe to Cu P. Ganesh and M. Widom, Phys. Rev. B 74, 134205 2006 w...

Classical correlations of defects in lattices with geometrical frustration in the motion of a particle