A vibration-free, thermally controlled setup for mechanical thermal noise measurements

Longo, Stefano B.; Cecchinato, Luca; Rampazzo, Mirco; Bonaldi, M.; Beghi, Alessandro; Conti, L.

doi:10.1051/epjap/2011110304

Cited by 1 publication

(2 citation statements)

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“…With a high-stability negative temperature coefficient (NTC) thermistor, we measured the temperature T 1 of the rod top end; the NTC resistance was measured using a four-wire configuration. Using Peltier cells placed on top of the vacuum box, we implemented an active feedback loop, which can stabilize T 1 to a set point just below room temperature, with a residual variation within ±0.05 K over a period of one month [17]. For the purpose of setting and controlling a temperature difference across the oscillator, we faced the oscillating mass to a thermal source on one side and to a thermopile on the other side, as detailed in Ref.…”

Section: A the Al5056 Oscillatormentioning

confidence: 99%

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Elasticity of mechanical oscillators in nonequilibrium steady states: Experimental, numerical, and theoretical results

et al. 2012

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We study experimentally, numerically, and theoretically the elastic response of mechanical resonators along which the temperature is not uniform, as a consequence of the onset of steady-state thermal gradients. Two experimental setups and designs are employed, both using low-loss materials. In both cases, we monitor the resonance frequencies of specific modes of vibration, as they vary along with variations of temperatures and of temperature differences. In one case, we consider the first longitudinal mode of vibration of an aluminum alloy resonator; in the other case, we consider the antisymmetric torsion modes of a silicon resonator. By defining the average temperature as the volume-weighted mean of the temperatures of the respective elastic sections, we find out that the elastic response of an object depends solely on it, regardless of whether a thermal gradient exists and, up to 10% imbalance, regardless of its magnitude. The numerical model employs a chain of anharmonic oscillators, with first- and second-neighbor interactions and temperature profiles satisfying Fourier's Law to a good degree. Its analysis confirms, for the most part, the experimental findings and it is explained theoretically from a statistical mechanics perspective with a loose notion of local equilibrium.

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Section: A the Al5056 Oscillatormentioning

confidence: 99%

“…For the purpose of setting and controlling a temperature difference across the oscillator, we faced the oscillating mass to a thermal source on one side and to a thermopile on the other side, as detailed in Ref. [17]; the thermopile gave a measurement of the oscillating mass temperature T 2 .…”

Section: A the Al5056 Oscillatormentioning

confidence: 99%