RECORD
Critical scaling of icosahedral medium-range order in CuZr metallic glass-forming liquids
Disordered Systems and Neural Networks · Submitted 18 May 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The critical scaling behaviour suggests that there would be a structural phase transition manifested by percolation of locally favoured structures underlying the glass transition, if the liquid could be cooled slowly enough but without crystallization intervening.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The temperature evolution of icosahedral medium-range order formed by interpenetrating icosahedra in CuZr metallic glass-forming liquids was investigated via molecular dynamics simulations. Scaling analysis based on percolation theory was employed, and it is found that the size distribution of clusters formed by the central atoms of icosahedra at various temperatures follows a very good scaling law with the cluster number density scaled by $S^{-\tau}$ and the cluster size $S$ scaled by $|1-T_c/T|^{-1/\sigma}$, respectively. Here $T_c$ is scaling crossover-temperature. $\tau$ and $\sigma$ are scaling exponents. The critical scaling behaviour suggests that there would be a structural phase transition manifested by percolation of locally favoured structures underlying the glass transition, if the liquid could be cooled slowly enough but without crystallization intervening. Furthermore, it is revealed that when icosahedral short-range order (ISRO) extends to medium-range length scale by connection, the atomic configurations of ISROs will be optimized from distorted ones towards more regular ones gradually, which significantly lowers the energies of ISROs and introduces geometric frustration simultaneously. Both factors make key impacts on the drastic dynamic slowdown of supercooled liquids. Our findings provide direct structure-property relationship for understanding the nature of glass transition.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The temperature evolution of icosahedral medium-range order formed by interpenetrating icosahedra in CuZr metallic glass-forming liquids was investigated via molecular dynamics simulations. | contribution 0.87 | 0.94 | 0.03 | asserted 0.99 |
| s1 | Scaling analysis based on percolation theory was employed, and it is found that the size distribution of clusters formed by the central atoms of icosahedra at various temperatures follows a very good scaling law with the cluster number density scaled by $S^{-\tau}$ and the cluster size $S$ scaled by $|1-T_c/T|^{-1/\sigma}$, respectively. | result 0.90 | 0.95 | 0.22 | asserted 1.00 |
| s2 | Here $T_c$ is scaling crossover-temperature. | background 0.40 | 0.47 | 0.03 | asserted 0.96 |
| s3 | $\tau$ and $\sigma$ are scaling exponents. | background 0.51 | 0.32 | 0.02 | asserted 0.94 |
| s4 | The critical scaling behaviour suggests that there would be a structural phase transition manifested by percolation of locally favoured structures underlying the glass transition, if the liquid could be cooled slowly enough but without crystallization intervening. | interpretation 1.00 | 0.77 | 0.62 | hedged possibility 1.00 |
| s5 | Furthermore, it is revealed that when icosahedral short-range order (ISRO) extends to medium-range length scale by connection, the atomic configurations of ISROs will be optimized from distorted ones towards more regular ones gradually, which significantly lowers the energies of ISROs and introduces geometric frustration simultaneously. | result 0.93 | 0.90 | 0.20 | asserted 1.00 |
| s6 | Both factors make key impacts on the drastic dynamic slowdown of supercooled liquids. | interpretation 0.91 | 0.85 | 0.20 | asserted 1.00 |
| s7 | Our findings provide direct structure-property relationship for understanding the nature of glass transition. | interpretation 0.55 | 0.84 | 0.28 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v7
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The temperature evolution of icosahedral medium-range order formed by interpenetrating icosahedra in CuZr metallic glass-forming liquids was investigated via molecular dynamics simulations. Scaling analysis based on percolation theory was employed, and it is found that the size distribution of clusters formed by the central atoms of icosahedra at various temperatures follows a very good scaling law with the cluster number density scaled by $S^{-\tau}$ and the cluster size $S$ scaled by $|1-T_c/T|^{-1/\sigma}$, respectively. Here $T_c$ is scaling crossover-temperature. $\tau$ and $\sigma$ are scaling exponents. The critical scaling behaviour suggests that there would be a structural phase transition manifested by percolation of locally favoured structures underlying the glass transition, if the liquid could be cooled slowly enough but without crystallization intervening. Furthermore, it is revealed that when icosahedral short-range order (ISRO) extends to medium-range length scale by connection, the atomic configurations of ISROs will be optimized from distorted ones towards more regular ones gradually, which significantly lowers the energies of ISROs and introduces geometric frustration simultaneously. Both factors make key impacts on the drastic dynamic slowdown of supercooled liquids. Our findings provide direct structure-property relationship for understanding the nature of glass transition.
Human review
How the literature uses it
1 arXiv paper cite this in 1 sentence
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.