Non-Perturbative Hydrodynamic Limits
arXiv:1310.7124 · doi:10.1016/j.physa.2014.02.018
Abstract
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.