Elastic behavior of a semiflexible polymer in 3D subject to compression and stretching forces
arXiv:1911.03438 · doi:10.1039/C8SM01403E
Abstract
We elucidate the elastic behavior of a wormlike chain in 3D under compression and provide exact solutions for the experimentally accessible force-extension relation in terms of generalized spheroidal wave functions. In striking contrast to the classical Euler buckling instability, the force-extension relation of a clamped semiflexible polymer exhibits a smooth crossover from an almost stretched to a buckled configuration. In particular, the associated susceptibility, which measures the strength of the response of the polymer to the applied force, displays a prominent peak in the vicinity of the critical Euler buckling force. For increasing persistence length, the force-extension relation and the susceptibility of semiflexible polymers approach the behavior of a classical rod, whereas thermal fluctuations permit more flexible polymers to resist the applied force. Furthermore, we find that semiflexible polymers confined to 2D can oppose the applied force more strongly than in 3D.
References in corpus (25)
- The Mechanics and Statistics of Active Matter
- Modeling semiflexible polymer networks
- Radial distribution function of semiflexible polymers
- Unusual swelling of a polymer in a bacterial bath
- Probing the spatiotemporal dynamics of catalytic Janus particles with single-particle tracking and differential dynamic microscopy
- Intermediate scattering function of an anisotropic active Brownian particle
- Elasticity of semi-flexible polymers
- Semiflexible Chains under Tension
- Intermediate scattering function of an anisotropic Brownian circle swimmer
- Semi-classical buckling of stiff polymers
- Disentangling Entanglements in Biopolymer Solutions
- Enhanced Diffusion of a Needle in a Planar Course of Point Obstacles
- Elasticity of semiflexible polymers in two dimensions
- Entangled Dynamics of a Stiff Polymer
- Semi-Flexible Polymer in a Uniform Force Field in Two Dimensions
- Linear response of a grafted semiflexible polymer to a uniform force field
- Stretching weakly bending filaments with spontaneous curvature in two dimensions
- Exact solution for the force-extension relation of a semiflexible polymer under compression
- Persistence-Length Renormalization of Polymers in a Crowded Environment of Hard Disks
- End-To-End Distribution Function Function of Stiff Polymers for all Persistence Lengths
- Dynamically Crowded Solutions of Infinitely Thin Brownian Needles
- Tube Concept for Entangled Stiff Fibers Predicts Their Dynamics in Space and Time
- Tensile elasticity of semiflexible polymers with hinge defects
- Bimodal probability density characterizes the elastic behavior of a semiflexible polymer in 2D under compression
- Finite-temperature buckling of an extensible rod