Universality of anomalous one-dimensional heat conductivity

S Lepri, R Livi, A Politi

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Abstract

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulations confirm that the finite-size thermal conductivity diverges with system size L as kappaproportional toL(alpha). However, the exponent alpha deviates systematically from the theoretical prediction alpha=1/3 proposed in a recent paper [O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002)].

Original languageEnglish
Article number067102
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume68
Issue number6
DOIs
Publication statusPublished - Dec 2003

Keywords

  • thermal-conductivity
  • lattices
  • transport

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