Derivation of Hydrodynamics from the Hamiltonian description of particle systems

Understand

Hamiltonian particle systems may exhibit non-linear hydrodynamic phenomena as the time evolution of the density fields of energy, momentum, and mass.

• In this Letter, an exact equation describing the time evolution is derived assuming the local Gibbs distribution at initial time.
• The key concept in the derivation is an identity similar to the fluctuation theorems.
• The Navier-Stokes equation is obtained as a result of simple perturbation expansions in a small parameter that represents the scale separation.