title: Universality of one-dimensional heat conductivity.
abstract: We show analytically that the heat conductivity of oscillator chains diverges with system size N as N(1/3), which is the same as for one-dimensional fluids. For long cylinders, we use the hydrodynamic equations for a crystal in one dimension. This is appropriate for stiff systems such as nanotubes, where the eventual crossover to a fluid only sets in at unrealistically large . Despite the extra equation compared to a fluid, the scaling of the heat conductivity is unchanged. For strictly one-dimensional chains, we show that the dynamic equations are those of a fluid at all length scales even if the static order extends to very large . The discrepancy between our results and numerical simulations on Fermi-Pasta-Ulam chains is discussed.
authors.affiliation: Department of Physics, University of California, Santa Cruz, California 95064, USA.
authors.forename: Trieu
authors.initials: T
authors.lastname: Mai
authors.forename: Onuttom
authors.initials: O
authors.lastname: Narayan