Abstract
The coil–globule collapse of dilute linear polymers in a poor solventis generally thought to be a second-order phase transition throughθ-polymers at the critical point. A common model for the collapse transition of polymers is alattice self-avoiding walk with a nearest neighbour attraction. In this paper we consider analternative set of models for collapsing linear polymers. In particular, we simulate latticewalks weighted by an atmospheric statistic using the flatGARM algorithm. These models ofwalks undergo a collapse transition at a critical value of the parameters of themodel. This transition appears to be discontinuous (first order), in contrast to theθ-transitionin walks with nearest neighbour contacts. This places our models in a different universality class fromthe θ-transition in collapsing self-avoiding walks.
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