TY  - GEN
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/10786/
N2  - In this thesis, we investigate the interplay between geometry and temperature in the Casimir effect for the inclined-plates, sphere-plate and cylinder-plate configurations. We use the worldline approach, which combines the string-inspired quantum field theoretical formalism with Monte Carlo techniques. The approach allows the precise computation of Casimir energies in arbitrary geometries. We analyze the dependence of the Casimir energy, force and torque on the separation parameter and temperature T, and find Casimir phenomena which are dominated by long-range fluctuations. We demonstrate that for open geometries, thermal energy densities are typically distributed on scales of thermal wavelengths. As an important consequence, approximation methods for thermal corrections based on local energy-density estimates, such as the proximity-force approximation, are found to become unreliable even at small surface-separations. Whereas the hightemperature behavior is always found to be linear in T, richer power-law behaviors at small temperatures emerge. In particular, thermal forces can develop a non-monotonic behavior. Many novel numerical as well as analytical results are presented.
KW  - Casimir effect 
KW  -  worldline formalism 
KW  -  worldline numerics 
KW  -  geothermal phenomena 
KW  -  quantum vacuum
AV  - public
A1  - Weber, Alexej
TI  - Interplay between geometry and temperature in the Casimir effect
ID  - heidok10786
Y1  - 2010///
ER  -