Polymers near scale-free boundaries: Forces and phase transitions

Raz Halifa Levi, Mohammad Maghrebi

Yacov Kantor, Mehran Kardar

Outline

I.      Entropic force on polymers:  Universal amplitude related to polymer exponents   

The exponent η depends on surface absorbtivity (D or N) and its shape, as well as state of the polymer (self-avoiding, phantom, ...)

II.    Phantom polymers: Exact results from solutions of the diffusion equation 

  The amplitude is exactly zero at depinning transition for identical surfaces. Is this more generally true?

III.   Self-avoiding polymers: Numerical results, and ε-expansion

 Force of around 0.1 pico-Newton at 0.1 micron, can be concreased with multiple polymers.

  Similar force expressions should exist for any combination of

self-similar shapes, scale-invariant boundaries, and ambient scale-invariant field.

IV.  Unbinding transition: Polymers may be localized to a corner, or to an edge

V.    Attractive Edge: angle-dependent criticality

Next (Polymer force) Outline Polymer force Phantom polymer Self-avoiding polymer Unbinding transition Wedge edge Summary