Heat conduction in the diatomic Toda lattice revisited
  The problem of the diverging thermal conductivity in one-dimensional (1-D) lattices is considered. By numerical simulations, it is confirmed that the thermal conductivity of the diatomic Toda lattice diverges, which is opposite to what one has believed before. Also the diverging exponent is found to be almost the same as the FPU chain. It is reconfirmed that the diverging thermal conductivity is universal in 1-D systems where the total momentum preserves. 
Takahiro Hatano