The vibrational spectra of solids, both ordered and amorphous, in the low-energy regime,
control the thermal and transport properties of materials, from heat capacity to heat …

Microscopic deformation processes determine defect formation on glass surfaces and, thus,
the material's resistance to mechanical failure. While the macroscopic strength of most …

We study hyperuniform properties for the square-triangle tilings. The tiling is generated by a
local growth rule, where squares or triangles are iteratively attached to its boundary. The …

Matter grows and self-assembles to produce complex structures such as virus capsids,
carbon fullerenes, proteins, glasses, etc. Due to its complexity, performing pen-and-paper …

The present work illustrates the perspective of using the analysis of high-and low-frequency
Raman in the study of oxyfluoride glasses in the NbO2F-BaF2-ZnF2-BiF3 and MnNbOF5 …

The atomic vibrations and thermal properties of amorphous dielectric solids are of
fundamental and practical interest. For applications, amorphous solids are widely used as …

Using rigidity (constraint) theory of glasses, the effects of low-frequency vibrational modes
anomalies in the glass transition are studied. It is discussed how the possibility of tailoring by …

Rigidity theory in glasses was originally formulated to understand the relationship between
network topology and glass forming ability, the later given by the minimal cooling rate …

In this paper, we try to establish the structural base for the behavior of the correlational
length, lc (the parameter characterizing the linear size of structural inhomogeneities) as a …

Topological constraint theory has been successful in providing a simple model for the liquid-
glass transition in covalent bond bending networks. However, it is limited to networks where …