# Statistical Mechanics of Confined Polymer Networks

@article{Duplantier2020StatisticalMO,
title={Statistical Mechanics of Confined Polymer Networks},
author={Bertrand Duplantier and Anthony J. Guttmann},
journal={Journal of Statistical Physics},
year={2020},
volume={180},
pages={1061-1094}
}
• Published 3 June 2020
• Mathematics
• Journal of Statistical Physics
We show how the theory of the critical behaviour of d -dimensional polymer networks of arbitrary topology can be generalized to the case of networks confined by hyperplanes . This in particular encompasses the case of a single polymer chain in a bridge configuration. We further define multi-bridge networks, where several vertices are in local bridge configurations. We consider all cases of ordinary, mixed and special surface transitions, and polymer chains made of self-avoiding walks, or of…
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