No production of entropy in the Euler fluid
نویسنده
چکیده
We derive the Euler equations as the hydrodynamic limit of a stochastic of a hardsphere gas. We show that the system does not produce entropy. 1 Hydrostatics of a gas of hard spheres We take space to be Λ ⊆ (aZ), and suppose the length a, representing the diameter of a molecule, to be so small compared with the variation of the macroscopic fields that we can replace all sums over Λ by integrals. The possible configurations of the fluid are the points in the product sample space Ω = ∏ x∈Λ Ωx, so a configuration is specified by the collection {ωx}x∈Λ. For each x, Ωx = {
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