Heat conduction in the diatomic Toda lattice revisited

TL;DR

This paper confirms through numerical simulations that the diatomic Toda lattice exhibits diverging thermal conductivity, aligning with previous findings in similar 1-D momentum-preserving systems, challenging earlier beliefs.

Contribution

It provides new numerical evidence that the diatomic Toda lattice's thermal conductivity diverges, demonstrating universality in 1-D momentum-conserving systems.

Findings

Thermal conductivity diverges in the diatomic Toda lattice.

Diverging exponent similar to FPU chain.

Universality of divergence in 1-D momentum-preserving systems.

Abstract

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.