Entropic force of polymers on a cone tip
arXiv:1109.5658 · doi:10.1209/0295-5075/96/66002
Abstract
We consider polymers attached to the tip of a cone, and the resulting force due to entropy loss on approaching a plate (or another cone). At separations shorter than the polymer radius of gyration R_g, the only relevant length scale is the tip-plate (or tip-tip) separation h, and the entropic force is given by F=A kT/h. The universal amplitude A can be related to (geometry dependent) correlation exponents of long polymers. We compute A for phantom polymers, and for self-avoiding (including star) polymers by epsilon-expansion, as well as by numerical simulations in 3 dimensions.
References in corpus (3)
Cited by in corpus (19)
- Critical Casimir torques and forces acting on needles in two spatial dimensions
- Polymer-mediated entropic forces between scale-free objects
- Electrophoresis of a DNA Coil Near a Nanopore
- Ideal Polymers near Scale-Free Surfaces
- Diffusion in the Presence of Scale-Free Absorbing Boundaries
- Free-energy cost of localizing a single monomer of a confined polymer
- Casimir interaction of rod-like particles in a two-dimensional critical system
- Entropic force of cone-tethered polymers interacting with a planar surface
- Long Polymers Near Wedges and Cones
- Attractive and repulsive polymer-mediated forces between scale-free surfaces
- Quantum particle in a spherical well confined by a cone
- Pinning and unbinding of (ideal) polymers from a wedge corner
- Organization of strongly interacting directed polymer liquids in the presence of stringent constraints
- Localization of random walks to competing manifolds of distinct dimensions
- Entropic pressure in lattice models for polymers
- Entropic forces exerted on a rough wall by a grafted semiflexible polymer
- Reversing the Critical Casimir force by shape deformation
- Depletion force between disordered linear macromolecules
- Nonequilibrium interactions between ideal polymers and a repulsive surface