Thermal noise in mechanical experiments
The fluctuation-dissipation theorem is applied to the case of low-dissipation mechanical oscillators, whose losses are dominated by processes occurring inside the material of which the oscillators are made. In the common case of losses described by a complex spring constant with a constant imaginary...
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Veröffentlicht in: | Physical review. D, Particles and fields Particles and fields, 1990-10, Vol.42 (8), p.2437-2445 |
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creator | SAULSON, P. R |
description | The fluctuation-dissipation theorem is applied to the case of low-dissipation mechanical oscillators, whose losses are dominated by processes occurring inside the material of which the oscillators are made. In the common case of losses described by a complex spring constant with a constant imaginary part, the thermal noise displacement power spectrum is steeper by one power of {omega} than is predicted by a velocity-damping model. I construct models for the thermal noise spectra of systems with more than one mode of vibration, and evaluate a model of a specific design of pendulum suspension for the test masses in a gravitational-wave interferometer. |
doi_str_mv | 10.1103/PhysRevD.42.2437 |
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D, Particles and fields</jtitle><addtitle>Phys Rev D Part Fields</addtitle><date>1990-10-15</date><risdate>1990</risdate><volume>42</volume><issue>8</issue><spage>2437</spage><epage>2445</epage><pages>2437-2445</pages><issn>0556-2821</issn><eissn>1089-4918</eissn><coden>PRVDAQ</coden><abstract>The fluctuation-dissipation theorem is applied to the case of low-dissipation mechanical oscillators, whose losses are dominated by processes occurring inside the material of which the oscillators are made. In the common case of losses described by a complex spring constant with a constant imaginary part, the thermal noise displacement power spectrum is steeper by one power of {omega} than is predicted by a velocity-damping model. 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source | American Physical Society Journals |
subjects | 640106 - Astrophysics & Cosmology- Cosmology BROWNIAN MOVEMENT CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical and quantum physics: mechanics and fields Classical mechanics of discrete systems: general mathematical aspects DIFFERENTIAL EQUATIONS EQUATIONS EQUATIONS OF MOTION Exact sciences and technology FRICTION FUNCTIONS GRAVITATIONAL WAVE DETECTORS HARMONIC OSCILLATOR MODELS LANGEVIN EQUATION MASS MATHEMATICAL MODELS MEASURING INSTRUMENTS MECHANICAL VIBRATIONS MOMENTUM TRANSFER NOISE PARTIAL DIFFERENTIAL EQUATIONS Physics RADIATION DETECTORS SPECTRAL DENSITY SPECTRAL FUNCTIONS TEMPERATURE NOISE |
title | Thermal noise in mechanical experiments |
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