Long Range Interactions
in Nanoscale Science Anapolis,
MD October
21-25, 2007
Casimir forces for arbitrary
shapes
Summary
I.
Casimir force:
theory, experiment, & application
II. Corrugated
surfaces: normal and lateral forces
The
Proximity Force/Pairwise summation breaks down for short-wavelength deformations.
This
is also the case for the lateral force.
Beyond
the perturbative limit- numerical scheme by Büscher
and Emig
III. Cylinder-plate: Breakdwon
of pairwise additivity
Exact
expression- dominated by long wavelength charge fluctuations at large separations
Corrections
at finite temperature
Multiple
wires, side-walls, nonmonotonicity due to three-body forces, ...
IV. Compact
objects
General
method for dealing with arbitrary shapes and dielectric properties
Complete
expressions for spheres at any separation
Scattering
information needed to address more complicated shapes, orientation dependence,
torques, ...
-.
Repulsive forces? sphere,
piston
The
force on a rectangular piston is always attractive.
In
the limit of small height, the force can be calculated for a piston of
arbitrary cross section.
Can
a "repulsive force" be ruled out for arbitrary shapes?
-. Dynamic
Effects: force and radiation from moving plates
The
effective mass of a plate depends on its shape.
There
is "friction" in vacuum, and radiation from uncharged bodies.
Are
there any possible experiments?
-. Thermal
fluctuations: wetting of superfluid films
Acknowledgements
Hao Li, Ramin Golestanian
Thosten Emig, Andreas
Hanke
Roya Zandi, Aviva
Shackell, Lincoln Chayes, Joseph Rudnick
Mark Hertzberg,
Antonello Scardicchio, Noah Graham, Robert Jaffe
Jamal Rahi, Alex
Rodriguez, Steve Johnson