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Thermal and Dissipative effects in Casimir Physics

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Currently we are tak<strong>in</strong>g data after <strong>in</strong>stall<strong>in</strong>g a Peltier cooler<br />

on the resonator support<br />

Expected frequency shift due to the <strong>Casimir</strong> force:<br />

∆ν<br />

2<br />

= −<br />

7π<br />

hc<br />

mν<br />

La<br />

d 0<br />

1/ 2<br />

Cas 9/ 2<br />

3072 2<br />

0<br />

To give a feel<strong>in</strong>g, this is equivalent to the detection of a bias voltage:<br />

V eq<br />

=<br />

⎛<br />

⎜<br />

⎝<br />

πhc<br />

96ε<br />

0<br />

⎞<br />

⎟<br />

⎠<br />

1/2<br />

1<br />

d<br />

=<br />

11.05mV<br />

d<br />

A 1% accuracy measurement at 4 micrometers requires control of the<br />

electrostatics at the level of about 0.03 mV<br />

14

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