Abstract
We present a nonlinear model that allows exploration of the relationship between energy relaxation, thermal conductivity and the excess of low-frequency vibrational modes (LFVMs) that are present in glasses. The model is a chain of the Fermi-Pasta-Ulam (FPU) type, with nonlinear second neighbour springs added at random.We show that the time for relaxation is increased as LFVMs are removed, while the thermal conductivity diminishes. These results are important in order to understand the role of the cooling speed and thermal conductivity during glass transition. Also, the model provides evidence for the fundamental importance of LFVMs in the FPU problem.
Original language | English |
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Pages (from-to) | 3173-3181 |
Number of pages | 9 |
Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 367 |
Issue number | 1901 |
DOIs | |
State | Published - 28 Aug 2009 |
Externally published | Yes |
Keywords
- Boson peak
- Floppy modes
- Glasses
- Rigidity theory
- Thermal conductivity
- Thermal relaxation