Energy-landscape network approach to the glass transition

Details Energy-landscape network approach to the glass transition Energy-landscape network approach to the glass transition

2008-08-15

arxiv.org/abs/0808.2203v2

J. Phys. A: Math. Theor. 42, 105101 (2009)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 6 figures

Scientific paper

10.1088/1751-8113/42/10/105101

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.

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