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 - 2009 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Modeling and Simulation
- Statistics and Probability
Cite this
Energy-landscape network approach to the glass transition. / Carmi, Shai; Havlin, Shlomo; Song, Chaoming; Wang, Kun; Makse, Hernan A.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 10, 105101, 2009.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Energy-landscape network approach to the glass transition
AU - Carmi, Shai
AU - Havlin, Shlomo
AU - Song, Chaoming
AU - Wang, Kun
AU - Makse, Hernan A.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=67650869749&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=67650869749&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/42/10/105101
DO - 10.1088/1751-8113/42/10/105101
M3 - Article
AN - SCOPUS:67650869749
VL - 42
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 10
M1 - 105101
ER -