Phase-space transition states general equations

In the previous section we demonstrated how variational transition state theory may be usefully applied to systems described by a space- and time-dependent generalized Lan-gevin equation. The harmonic nature of the bath implicit in the STGLE led to a compact analytical expression for the optimized planar dividing surface result. Except for very low temperatures, most reactive systems cannot be described in terms of a harmonic bath. In this section we demonstrate how the VTST formalism may be applied to general condensed phase reactive systems. For a recent review, see Ref. 80. 

Over the p t several years we and our collaborators have pursued a continuous space liquid state approach to developing a computationally convenient microscopic theory of the equilibrium properties of polymeric systems. Integral equations method [5-7], now widely employed to understand structure, thermodynamics and phase transitions in atomic, colloidal, and small molecule fluids, have been generalized to treat macromolecular materials. The purpose of this paper is to provide the first comprehensive review of this work referred to collectively as Polymer Reference Interaction Site Model (PRISM) theory. A few new results on polymer alloys are also presented. Besides providing a unified description of the equilibrium properties of the polymer liquid phase, the integral equation approach can be combined with density functional and/or other methods to treat a variety of inhomogeneous fluid and solid problems. 

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