TY - JOUR

T1 - Scaling Limit of Semiflexible Polymers

T2 - A Phase Transition

AU - Cipriani, Alessandra

AU - Dan, Biltu

AU - Hazra, Rajat Subhra

PY - 2020/7/1

Y1 - 2020/7/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85085894935&partnerID=8YFLogxK

U2 - 10.1007/s00220-020-03762-9

DO - 10.1007/s00220-020-03762-9

M3 - Article

AN - SCOPUS:85085894935

VL - 377

SP - 1505

EP - 1544

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -