Can Disorder Induce a Finite Thermal Conductivity in 1D Lattices?

2001/01/01 by Baowen Li, Hong Zhao, Bambi Hu · 4 citations
Engineering · Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Thermal Radiation and Cooling Technologies #Thermal properties of materials #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.86.63

published as Phys. Rev. Lett. 86 (2001) 63-66 · 4 pages with 4 eps figures

openalex publication_date 2001/01/01 · arxiv created 2001/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study heat conduction in one-dimensional mass-disordered harmonic and anharmonic lattices. It is found that the thermal conductivity kappa of the disordered anharmonic lattice is finite at low temperature, whereas it diverges as kappa approximately N0.43 at high temperature. Moreover, we demonstrate that a unique nonequilibrium stationary state in the disordered harmonic lattice does not exist at all.

Citations

• Canonical dynamics: Equilibrium phase-space distributions
• Heat conduction in the diatomic Toda lattice revisited

Cited by

• Quantum transport in chains with noisy off-diagonal couplings
• Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices
• Heat transport in low-dimensional systems
• Fourier Law in the Alternate-Mass Hard-Core Potential Chain