Transport properties of the classical Toda chain: effect of a pinning potential

Understand

We consider energy transport in the classical Toda chain in the presence of an additional pinning potential.

• The pinning potential is expected to destroy the integrability of the system and an interesting question is to see the signatures of this breaking of integrability on energy transport.
• We investigate this by a study of the non-equilibrium steady state of the system connected to heat baths as well as the study of equilibrium correlations.
• Typical signatures of integrable systems are a size-independent energy current, a flat bulk temperature profile and ballistic scaling of equilibrium dynamical correlations, these results being valid in the thermodynamic limit.