Entropic force of a polymer attached to a conical tip

How many polymers fluctuate on the tip of a pin?

Mehran Kardar

Mohammad Maghrebi, Yacov Kantor

Outline

I.      Casimir force in QED: Theory, Experiment, & Application

II.     Sharp Shapes: Wedges and cones via the scattering formalism 

III.    Entropic force on polymers:  Relation to other polymer exponents   

IV.    Phantom polymers: Exact results from the diffusion propagator

V.     Self-avoiding polymers: Numerical results, and ε-expansions

VI.   Many polymers: Results from star polymers

Next (Casimir force) Outline QED Casimir force Sharp Shapes Polymer force Phantom polymer Self-avoiding polymer Many polymers Summary