The collapse transition for two-dimensional linear and ring polymers

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Abstract
The collapse transition for two‐dimensional linear and ring polymers is investigated by Brownian dynamics. It is found that the mean‐square radius of gyration 〈S 2〉 displays a different power law for strong and weak attractive forces between chain units N. For rings 〈S 2〉∼N 1.5 (weak forces) and N 1.0 (strong forces), whereas for linear chains 〈S 2〉∼(N−1)1.5 (weak forces) and (N−1)1.0 (strong forces). Moreover, it is shown that the transition between these two regimes is sharper for linear chains.

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