Thermal and Dissipative effects in Casimir Physics
Thermal and Dissipative effects in Casimir Physics
Thermal and Dissipative effects in Casimir Physics
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Plane-cyl<strong>in</strong>drical configuration: predictions<br />
If we <strong>in</strong>troduce the equivalent <strong>Casimir</strong><br />
force F 0 as twice the <strong>Casimir</strong> force<br />
between parallel plates with the same<br />
surface area as the cyl<strong>in</strong>ders we get,<br />
<strong>in</strong> the two opposite limits, <strong>and</strong> us<strong>in</strong>g<br />
the proximity force approximation:<br />
F<br />
≈<br />
ε<br />
b −<br />
a<br />
F<br />
y 0<br />
Small eccentricity<br />
F<br />
≈<br />
5<br />
32<br />
2<br />
⎛ b−a<br />
⎜<br />
⎝<br />
d<br />
⎞<br />
⎟<br />
⎠<br />
7/ 2<br />
F<br />
y 0<br />
Large eccentricity<br />
6