Polymer Collapse on Fluctuating Random Surfaces

Simon Dalley

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arXiv · cond-mat/9409011

Polymer Collapse on Fluctuating Random Surfaces

Simon Dalley

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Abstract

The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact interactions of relative strength $1/c$, $0<c<1$, is found as a function of chain length $L$ and $c$. The number of configurations $L^a {\rm e}^{bL}$ as $L\to \infty$ is determined, showing that a chain undergoes a third-order collapse transition at $c=\sqrt{2} -1$; the universal scaling laws are found.

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Simon Dalley. 1995-01-12. Polymer Collapse on Fluctuating Random Surfaces. https://arxiv.org/abs/cond-mat/9409011

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