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arxiv: 1310.7124 · v1 · pith:Y7DBXSWOnew · submitted 2013-10-26 · ⚛️ physics.flu-dyn · cond-mat.stat-mech

Non-Perturbative Hydrodynamic Limits

classification ⚛️ physics.flu-dyn cond-mat.stat-mech
keywords approachderivationequationhydrodynamickineticnon-perturbativeanalogousanalytical
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We introduce non-perturbative analytical techniques for the derivation of the hydrodynamic manifolds from kinetic equations. The new approach is analogous to the Schwinger-Dyson equation of quantum field theories, and its derivation is demonstrated with the construction of the exact diffusion manifold for a model kinetic equation. The novel approach is superior to the classical Chapman-Enskog method.

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