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Derivation of Hydrodynamics from the Hamiltonian description of particle systems
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.Comment: 7 pages. Minor revisions are made in ver.2; In ver.3, the
presentation has been revised substantially, and this version will be
published in Phys. Rev. Let
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