Energy-landscape network approach to the glass transition

Shai Carmi, Shlomo Havlin, Chaoming Song, Kun Wang, Hernan A. Makse

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 languageEnglish (US)
Article number105101
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number10
DOIs
StatePublished - 2009
Externally publishedYes

Fingerprint

Energy Landscape
Glass Transition
Glass transition
glass
energy
Evolution System
Lennard-Jones
Saddle
Critical Temperature
Trap
Network Structure
Model
Breakdown
saddles
Cooling
First-order
critical temperature
Glass
breakdown
Configuration

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 journalArticle

Carmi, Shai ; Havlin, Shlomo ; Song, Chaoming ; Wang, Kun ; Makse, Hernan A. / Energy-landscape network approach to the glass transition. In: Journal of Physics A: Mathematical and Theoretical. 2009 ; Vol. 42, No. 10.
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