Levitation by Casimir Forces in and out of equilibrium

Mehran Kardar

Thosten Emig, Noah Graham, Robert Jaffe

Jamal Rahi, Mohammad Maghrebi, Vlad Golyk, Matthias Krüger

Outline

I.        Casimir force: Theory, Experiment, & Application

II.      Repulsion? Boundary effects (fluids, metamaterials, ...); and Shapes (spheres, pistons, ...) 

III.     Scattering approach:  Formalism, exactly solvable shapes (sphere, cylinder, knife-edge, wedge, cone, ...)

IV.     Earnshaw's theorem in electrostatics and for fluctuation-induced forces

V.       Out of equilibrium: Radiation pressure, temperature differences

VI.    Heat Radiation & Transfer: Non-classical phenomena; Rytov formalism

VII.   Non-equilibrium Force: levitation, propulsion

VIII. Dynamic phenomena: Rotating object

Next (Introduction) Outline Casimir force Repulsion? Scattering approach Earnshaw's theorem Out of equilibrium Heat Radiation Force Dynamic Summary