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
SN - 0010-3616
VL - 377
SP - 1505
EP - 1544
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -