Heat conduction in one-dimensional chains

1997/12/05 by Bambi Hu, Baowen Li, Baowen LI +1 · 318 citations
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Fourier transform #Lattice (music) #Material Dynamics and Properties #Materials science #Phonon #Physics #Quantum mechanics #Statistical physics #Thermal #Thermal conduction #Thermal conductivity #Thermal properties of materials #Thermodynamics #chao-dyn #cond-mat.stat-mech #nlin.CD

paper · pdf · doi:10.1103/physreve.57.2992

published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 57(3), 2992-2995 (American Physical Society) · 4 Revtex pages, 3 EPS figures, to appear in Phys. Rev. E

arxiv created 1997/12/05 · openalex publication_date 1998/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study numerically the thermal conductivity in several different one-dimensional chains. We show that the phonon-lattice interaction is the main ingredient of the Fourier heat law. Our argument provides a rather satisfactory explanation to all existing numerical results concerning this problem.

Citations

• Canonical dynamics: Equilibrium phase-space distributions
• A unified formulation of the constant temperature molecular dynamics methods
• Commensurate phases, incommensurate phases and the devil's staircase

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