Scaling Limit of Semiflexible Polymers: A Phase Transition

Authors

Alessandra Cipriani, Delft University of Technology
Biltu Dan, Indian Statistical Institute, Kolkata
Rajat Subhra Hazra, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Communications in Mathematical Physics

Abstract

We consider a semiflexible polymer in Zd which is a random interface model with a mixed gradient and Laplacian interaction. The strength of the two operators is governed by two parameters called lateral tension and bending rigidity, which might depend on the size of the graph. In this article we show a phase transition in the scaling limit according to the strength of these parameters: we prove that the scaling limit is, respectively, the Gaussian free field, a “mixed” random distribution and the continuum membrane model in three different regimes.

First Page

1505

Last Page

1544

DOI

10.1007/s00220-020-03762-9

Publication Date

7-1-2020

Comments

Open Access, Green

Recommended Citation

Cipriani, Alessandra; Dan, Biltu; and Hazra, Rajat Subhra, "Scaling Limit of Semiflexible Polymers: A Phase Transition" (2020). Journal Articles. 216.
https://digitalcommons.isical.ac.in/journal-articles/216