Abstract
The 'universal' model of Domb and Barrett (1976) is combined with Monte Carlo data of Smith and Fleming (see ibid., vol.8, p.938 (1975)) to clarify the correspondence between chains confined to a lattice, and chains in the continuum. Lattice walks are classified in terms of the parameter nu =(nearest neighbour distance)/(step length) which is analogous to the excluded volume ratio nu for chains in the continuum. Comparisons of results for on-lattice and off-lattice chains should be made only for equivalent values of these two parameters. A theoretical picture of a linear hard-sphere chain is constructed and a comparison is made with the Monte Carlo results.
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