Journal article

Identification of a polymer growth process with an equilibrium multicritical collapse phase transition: The meeting point of swollen, collapsed, and crystalline polymers

Jason Doukas, Aleksander L Owczarek, Thomas Prellberg



We have investigated a polymer growth process on the triangular lattice where the configurations produced are self-avoiding trails. We show that the scaling behavior of this process is similar to the analogous process on the square lattice. However, while the square lattice process maps to the collapse transition of the canonical interacting self-avoiding trail (ISAT) model on that lattice, the process on the triangular lattice model does not map to the canonical equilibrium model. On the other hand, we show that the collapse transition of the canonical ISAT model on the triangular lattice behaves in a way reminiscent of the θ point of the interacting self-avoiding walk (ISAW) model, which i..

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University of Melbourne Researchers


Funding Acknowledgements

Financial support from the Australian Research Council via its support for the Centre of Excellence for Mathematics and Statistics of Complex Systems is gratefully acknowledged by the authors. J.D. was in part supported by the Japan Society for the Promotion of Science (JSPS) under Grant No. P09749. The FLATPERM simulations were performed on the computational resources of the Victorian Partnership for Advanced Computing (VPAC). A.L.O. thanks the School of Mathematical Sciences, Queen Mary University of London for hospitality.