Finite Thermal Conductivity in 1D Models Having Zero Lyapunov Exponents

Baowen Li*, Lei Wang, Bambi Hu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Heat conduction in three types of 1D channels is studied. The channels consist of two parallel walls, right triangles as scattering obstacles, and noninteracting particles. The triangles are placed along the walls in three different ways: (i) periodic, (ii) disordered in height, and (iii) disordered in position. The Lyapunov exponents in all three models are zero because of the flatness of triangle sides. It is found numerically that the temperature gradient can be formed in all three channels, but the Fourier heat law is observed only in two disordered ones. The results show that there might be no direct connection between chaos (in the sense of positive Lyapunov exponent) and normal thermal conduction.

Original languageEnglish
Article number223901
Number of pages4
JournalPhysical Review Letters
Volume88
Issue number22
Early online date17 May 2002
DOIs
Publication statusPublished - 3 Jun 2002

Scopus Subject Areas

  • Physics and Astronomy(all)

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