CLUSTER DISTRIBUTIONS ON A ONE-DIMENSIONAL LATTICE

An exact and comprehensive calculation of monomer distributions on a one-dimensional Ising lattice is presented using the matrix method. The monomer sequence probabilities are expressed in terms of three parameters: the first nearest-neighbor interaction energy between bound monomers, the lattice length, and the intrinsic binding constant of a monomer to a lattice site. Graphical illustrations are given as fractional quantities which can be directly converted to concentrations for experimental systems. An expression of the average length of monomer sequences and their standard deviation is presented.