# Quasicrystal vs Glass Transition: comparison structural and dynamical properties

## TL;DR

This paper compares the structural and dynamical properties of quasicrystals, glasses, and crystals, demonstrating that despite similar radial distribution functions, their dynamical behaviors differ, enabling clear distinction between phases.

## Contribution

It provides a comparative analysis of radial distribution functions and dynamics near phase transitions, clarifying how to distinguish quasicrystals from glasses.

## Key findings

- Radial distribution functions are similar for quasicrystals and glasses.
- Dynamical properties near quasicrystals resemble those of crystals.
- Combining structure and dynamics allows unambiguous phase identification.

## Abstract

Quasicrystals are solid structures with symmetry forbidden by crystallographic rules. Because of this some structural characteristics of quasicrystals, for instance, radial distribution function, can look similar to the ones of amorphous phases. This is of principal importance since radial distribution function is the main property to characterize the structure in molecular simulation. In the present paper we compare the radial distribution functions and dynamical properties of three systems in the vicinity of glass transition, quasicrystal formation and crystallization. We show that in spite of similarity of radial distribution functions the dynamical properties of a system in the vicinity of quasicrystal are qualitatively equivalent to the ones of crystal. Because of this combination the radial distribution functions with investigation of dynamics of the liquid allows unambiguously distinguish glass and quasicrystal.