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Collapse of two-dimensional linear polymers

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Abstract

We study the collapse transition of a two-dimensional, very long polymer. The model we consider is a lattice model where the chain is represented by a self-avoiding walk with nearest-neighbor attraction. By using the transfer matrix technique we calculate exactly the thermal and geometrical properties of the polymer on strips of finite width. We then use finite-size scaling to determine the values of the tricritical (θ point) exponentsv 1=0.55±0.01v u=1.15±0.15γ 1/v1=1.80±0.05 We compare these results to the other values already proposed in the literature.

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Saleur, H. Collapse of two-dimensional linear polymers. J Stat Phys 45, 419–438 (1986). https://doi.org/10.1007/BF01021079

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