General Co‐operative Kinetics on a Linear ISING Lattice

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Abstract
In view of its significance for co‐operative reactions of linear (bio)polymers a set of rate equations is derived which describes the general non‐equilibrium behavior of a linear ISING lattice (i.e. a chain of equivalent reaction sites with nearest‐neighbor interactions). End effects are included in the treatment. The approach is essentially based on the existence of a so‐called triplet‐closure which permits any time‐dependent variable of the system to be expressed in terms of a limited number of triplet concentrations (refering to sequences of three individual states on the lattice). In the important case of negligible end effects the quantitative formulation requires only four comparatively simple differential equations. Potential applications to special problems of practical interest and to non‐linear ISING models are indicated.