Finite Heat conduction in 2D Lattices

Abstract

This paper gives a 2D hamonic lattices model with missing bond defects, when the capacity ratio of defects is enough large, the temperature gradient can be formed and the finite heat conduction is found in the model. The defects in the 2D harmonic lattices impede the energy carriers free propagation, by another words, the mean free paths of the energy carrier are relatively short. The microscopic dynamics leads to the finite conduction in the model.

References in corpus (4)

• Heat conduction in the disordered harmonic chain revisited
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• FPU $\beta$ model: Boundary Jumps, Fourier's Law and Scaling
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• Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions
• Heat Conduction in two-dimensional harmonic crystal with disorder
• Fourier law in a momentum-conserving chain
• Rayleigh waves, surface disorder, and phonon localization in nanostructures
• Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices
• Thermal conductivity in 1d: disorder-induced transition from anomalous to normal scaling