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Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Nonuniversal heat conduction of one-dimensional lattices
Daxing Xiong1, Jiao Wang, Yong Zhang
1Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, Fujian, China.
Summary
Heat conductivity in nonlinear lattices is not always universal. This study shows that in Fermi-Pasta-Ulam-β lattices, heat conduction depends on coupling ratios, challenging previous assumptions.
Area of Science:
- Condensed matter physics
- Nonlinear dynamics
- Statistical mechanics
Background:
- One-dimensional nonlinear lattices with momentum conservation are widely studied for heat conduction properties.
- Previous research suggested universal heat conductivity divergence (κ~L(α)) with system size (L).
Purpose of the Study:
- To investigate heat conduction in Fermi-Pasta-Ulam-β lattices with both nearest-neighbor (NN) and next-nearest-neighbor (NNN) coupling.
- To determine if the exponent α in heat conductivity divergence is universal in this specific lattice model.
Main Methods:
- Numerical simulations of heat transport in Fermi-Pasta-Ulam-β lattices.
- Analysis of the dependence of heat conductivity (κ) on system size (L) for varying coupling ratios (γ).
- Correlation analysis between heat conduction behavior and the presence of in-band discrete breathers.
Main Results:
- The exponent α in heat conductivity divergence (κ~L(α)) is found to be strongly dependent on γ, the ratio of NNN to NN coupling.
- This dependence contradicts the previously suggested universality of α.
- A correlation is observed between the γ-dependent heat conduction and the existence of in-band discrete breathers.
Conclusions:
- The universality of heat conductivity exponent α in one-dimensional nonlinear lattices is challenged by the Fermi-Pasta-Ulam-β model.
- The ratio of NNN to NN coupling significantly influences heat transport properties.
- In-band discrete breathers may play a role in the observed heat conduction behavior.
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