4.3 Article

Thermal Conductivity of One-Dimensional Lattices with Self-Consistent Heat Baths: A Heuristic Derivation

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PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.78.044001

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heat conduction; classical transport; Langevin dynamics

资金

  1. Ministry of Education of the Republic of Singapore [R-144-000-203-112]

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We derive the thermal conductivities of one-dimensional harmonic and anharmonic lattices with self-consistent heat baths from the single-mode relaxation time (SMRT) approximation. For harmonic lattice, we obtain the same result as previous works. However, our approach is heuristic and reveals phonon picture explicitly, within the heat transport process. The results for harmonic and anharmonic lattices are compared with numerical calculations from Green-Kubo formula. The consistency between derivation and Simulation strongly supports that effective (renormalized) phonons are energy carriers in anharmonic lattices although there exist some other excitations Such as solitons and breathers.

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