19th Annual Greater Boston Area Statistical Mechanics Meeting                 MIT              October 21, 2017

Polymers near scale-free boundaries: Forces and phase transitions


Raz Halifa Levi, Mohammad Maghrebi

Yacov Kantor, Mehran Kardar


Outline

I.      Polymer force on conical tip:  Attractive and repulsive surfaces, and universal amplitudes   

II.    Phantom polymers: Exact results for force amplitude at and beyond adsorption transition

III.   Self-avoiding polymers: Numerical results, ε-expansions, star polymers

IV.   Unbinding transition: Phantom polymers on a surface and corner

V.    Attractive Edge: angle-dependent criticality

IV.   Summary