The GGE averaged currents of the classical Toda chain

Understand

The Toda chain with random initial data is studied.

• Of particular interest are generalized Gibbs ensembles, their averaged conserved fields, and the averages of the corresponding currents.
• While averaged fields are well-understood, the description of averaged currents has hitherto relied on the collision-rate assumption.
• For the Toda chain, the rate assumption can be investigated numerically.