Constrained equilibrium manifold

Tang, Q. and S. B. Pope (2002). Implementation of combustion chemistry by in situ adaptive tabulation of rate-controlled constrained equilibrium manifolds. In Proceedings of the Combustion Institute, vol. 29, pp. 1411-1417. Pittsburgh, PA The Combustion Institute. 

Postulate II. There exists a functional AW[plp°], called the entropy deficiency (directed divergence or divergence), of the extensive subsystem parameters pa of a composite molecular system, defined for all equilibrium (Hirshfeld) divisions of p and having the following property. The values assumed by pa in the absence of the internal constraints are those that minimize A77 plp° over the manifold of constrained equilibrium states, the latter being defined by the effective subsystem external potentials (v ff(r) = v[fr p r. ... 

In common with slow manifold-type methods, RCCE uses the assumption that fast reactions exist that relax the chemical system to the associated constrained equilibrium state on timescales which are shorter than those on which the constraints are changing (Tang and Pope 2004). The RCCE therefore comprises two concepts ... 

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