Semiflexible polymer enclosed in a 3D compact domain

Abstract

The conformational states of a semiflexible polymer enclosed in a volume $V:={\ell }^3$ are studied as stochastic realizations of paths using the stochastic curvature approach developed in [Rev. E 100, 012503 (2019)], in the regime whenever $3\ell /{\ell }_p>1$, where ${\ell }_p$ is the persistence length. The cases of a semiflexible polymer enclosed in a cube and sphere are considered. In these cases, we explore the Spakowitz-Wang type polymer shape transition, where the critical persistence length distinguishes between an oscillating and a monotonic phase at the level of the mean-square end-to-end distance. This shape transition provides evidence of a universal signature of the behavior of a semiflexible polymer confined in a compact domain.

13 pages, 2 figures, Accepted on 19 May 2021 in Front. Phys

References in corpus (1)

• Environmental bias and elastic curves on surfaces