We study the energy transport properties of one-dimensional nonlinear aperiodic lattice models in this paper. It is found that, compared with their periodic and disordered counterparts, the quasiperiodic and fractal models exhibit critical macroscopic behavior in the low-temperature region, while in the high-temperature region all the models show the same property of energy transport. The relationship between the observed macroscopic behaviors and the localization theory is discussed.

• Received 18 October 2001

DOI:https://doi.org/10.1103/PhysRevE.66.026106