Quasi-diagonal inhomogeneous closure for classical and quantum statistical dynamics

Jorgen S. Frederiksen

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Abstract

The Quasi-diagonal Direct Interaction Approximation (QDIA) closure equations are formulated for inhomogeneous classical and quantum fields interacting through dynamical equations with quadratic nonlinearity and with first or second-order time derivatives. Associated more complex inhomogeneous DIA and Self-energy closure equations are expounded as part of the derivation. The QDIA employs a bare vertex approximation and is only a few times more computationally intensive than the homogeneous DIA. Examples of applications to turbulent classical geophysical and Navier Stokes fluids, including non-Gaussian noise, to classical and quantum Klein-Gordon equations with gπ3 Lagrangian interaction, and to coupled field-auxiliary field equations associated with δπ 4 Lagrangian interaction are presented.

Original languageEnglish
Article number103303
Number of pages28
JournalJournal of Mathematical Physics
Volume58
Issue number10
DOIs
Publication statusPublished - 1 Oct 2017

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