R-mer filling with general range-R cooperative effects

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Abstract
An exact closed form solution is obtained for the time dependence of the coverage of a homogeneous, infinite, one‐dimensional lattice filled irreversibly and cooperatively by R‐mers. Cooperative effects, not assumed to be reflection invariant, may extend up to range R. Previously available exact solutions for random filling and nearest neighbor cooperative effects are recovered. For dimer filling with genuine range‐2 cooperative effects it is found that autoretardative and autocatalytic rate regimes may lead to the same saturation coverage. Various adsorption schemes are considered.