Scaling Limit of Semiflexible Polymers

A Phase Transition

Journal article (2020)

Authors

A. Cipriani Applied Probability - EEMCS
Biltu Dan Indian Statistical Institute
Rajat Subhra Hazra Indian Statistical Institute
Research Group
Applied Probability (EEMCS) (TU Delft)
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Published Date

01-07-2020

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

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.

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