Absolute measurement of thermal noise in a resonant short-range force experiment

H. Yan; E. A. Housworth; H. O. Meyer; G. Visser; E. Weisman; J. C. Long

doi:10.1088/0264-9381/31/20/205007

Absolute measurement of thermal noise in a resonant short-range force experiment

H. Yan, E. A. Housworth, H. O. Meyer, G. Visser, E. Weisman, J. C. Long

Research output: Contribution to journal › Article › peer-review

Abstract

Planar, double-torsional oscillators are especially suitable for short-range macroscopic force search experiments, since they can be operated at the limit of instrumental thermal noise. As a study of this limit, we report a measurement of the noise kinetic energy of a polycrystalline tungsten oscillator in thermal equilibrium at room temperature. The fluctuations of the oscillator in a high-Q torsional mode with a resonance frequency near 1 kHz are detected with capacitive transducers coupled to a sensitive differential amplifier. The electronic processing is calibrated by means of a known electrostatic force and input from a finite-element model. The measured average kinetic energy, E_exp = (2.0 ± 0.3) × 10^-21 J, is in agreement with the expected value of 1/2k_BT.

Original language	English (US)
Article number	205007
Journal	Classical and Quantum Gravity
Volume	31
Issue number	20
DOIs	https://doi.org/10.1088/0264-9381/31/20/205007
State	Published - Oct 21 2014
Externally published	Yes

Keywords

equipartition theorem
short-range tests of gravity
thermal noise measurements
torsional oscillators

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Online availability

10.1088/0264-9381/31/20/205007

Library availability

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abstract = "Planar, double-torsional oscillators are especially suitable for short-range macroscopic force search experiments, since they can be operated at the limit of instrumental thermal noise. As a study of this limit, we report a measurement of the noise kinetic energy of a polycrystalline tungsten oscillator in thermal equilibrium at room temperature. The fluctuations of the oscillator in a high-Q torsional mode with a resonance frequency near 1 kHz are detected with capacitive transducers coupled to a sensitive differential amplifier. The electronic processing is calibrated by means of a known electrostatic force and input from a finite-element model. The measured average kinetic energy, Eexp = (2.0 ± 0.3) × 10-21 J, is in agreement with the expected value of 1/2kBT.",

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AU - Yan, H.

AU - Housworth, E. A.

AU - Meyer, H. O.

AU - Visser, G.

AU - Weisman, E.

AU - Long, J. C.

PY - 2014/10/21

Y1 - 2014/10/21

N2 - Planar, double-torsional oscillators are especially suitable for short-range macroscopic force search experiments, since they can be operated at the limit of instrumental thermal noise. As a study of this limit, we report a measurement of the noise kinetic energy of a polycrystalline tungsten oscillator in thermal equilibrium at room temperature. The fluctuations of the oscillator in a high-Q torsional mode with a resonance frequency near 1 kHz are detected with capacitive transducers coupled to a sensitive differential amplifier. The electronic processing is calibrated by means of a known electrostatic force and input from a finite-element model. The measured average kinetic energy, Eexp = (2.0 ± 0.3) × 10-21 J, is in agreement with the expected value of 1/2kBT.

AB - Planar, double-torsional oscillators are especially suitable for short-range macroscopic force search experiments, since they can be operated at the limit of instrumental thermal noise. As a study of this limit, we report a measurement of the noise kinetic energy of a polycrystalline tungsten oscillator in thermal equilibrium at room temperature. The fluctuations of the oscillator in a high-Q torsional mode with a resonance frequency near 1 kHz are detected with capacitive transducers coupled to a sensitive differential amplifier. The electronic processing is calibrated by means of a known electrostatic force and input from a finite-element model. The measured average kinetic energy, Eexp = (2.0 ± 0.3) × 10-21 J, is in agreement with the expected value of 1/2kBT.

KW - equipartition theorem

KW - short-range tests of gravity

KW - thermal noise measurements

KW - torsional oscillators

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Absolute measurement of thermal noise in a resonant short-range force experiment

Abstract

Keywords

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