‘Monte carlo’ computer simulation of chain molecules: II. The limiting distribution of end-to-end distance for two-dimensional excluded-volume chains

A computer technique for simulating configurational behaviour of chains, developed previously, was used to study the nature of the distribution of the magnitude of end-to-end vectors of excluded-volume chains constrained to two dimensions. The study revealed that the above distribution in the limit of infinite chain length deviates greatly from Gaussian behaviour and that the deviation is much greater than for three-dimensional chains. The probability distribution function A exp (—αR^5.8) was derived.