Abstract
We study the energy-landscape network of Lennard-Jones clusters as a model of a glass forming system. We find the stable basins and the first-order saddles connecting them, and identify them with the network nodes and links, respectively. We analyze the network properties and model the system's evolution. Using the model, we explore the system's response to varying cooling rates, and reproduce many of the glass transition properties. We also find that the static network structure gives rise to a critical temperature where a percolation transition breaks down the space of configurations into disconnected components. Finally, we discuss the possibility of studying the system mathematically with a trap model generalized to networks.
| Original language | English (US) |
|---|---|
| Article number | 105101 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 42 |
| Issue number | 10 |
| DOIs | |
| State | Published - Jul 27 2009 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)
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Cite this
Carmi, S., Havlin, S., Song, C., Wang, K., & Makse, H. A. (2009). Energy-landscape network approach to the glass transition. Journal of Physics A: Mathematical and Theoretical, 42(10), [105101]. https://doi.org/10.1088/1751-8113/42/10/105101