1984
DOI: 10.1063/1.332990
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Magnetic field fluctuations arising from thermal motion of electric charge in conductors

Abstract: A model is developed for the source of magnetic field fluctuations emanating from thermal agitation of electric charge in conductors. The calculation of the thermal magnetic noise with the model involves the solution of a general volume conductor forward problem. Frequency-dependent equations for this problem are derived from Maxwell’s equations. The model is applied to calculate the magnetic noise generated by infinite conducting slabs. A good agreement between theoretical predictions and experimental results… Show more

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Cited by 136 publications
(113 citation statements)
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“…The read-out of the thermal noise is done by a gradiometer, consisting of two counterwound superconducting pick-up coils (detector) wrapped tightly around a Ag wire (thermal noise source) of radius r. The working principle is the following: thermal currents are transformed, by self-inductance, into magnetic flux fluctuations, detected by the pick-up coil. In the low frequency range, the power spectral density of the magnetic flux noise 22,25 can be written as…”
Section: Noise Thermometrymentioning
confidence: 99%
“…The read-out of the thermal noise is done by a gradiometer, consisting of two counterwound superconducting pick-up coils (detector) wrapped tightly around a Ag wire (thermal noise source) of radius r. The working principle is the following: thermal currents are transformed, by self-inductance, into magnetic flux fluctuations, detected by the pick-up coil. In the low frequency range, the power spectral density of the magnetic flux noise 22,25 can be written as…”
Section: Noise Thermometrymentioning
confidence: 99%
“…4 shows the lifetime τ as a function of distance d from the respective surface, measured at T = 1 µK (T /T c = 1.3) for an offset field B 0 = 0.57 G. The lifetime above the dielectric is constant for d ≥ 2.5 µm, while above the metal τ is shorter and distance-dependent. Since even a conductor carrying no macroscopic current generates magnetic field fluctuations associated with thermal current noise [16], it can induce trap decay by driving transitions from trapped to untrapped atomic sublevels [15]. In the limit that the metal film thickness (here t=2.15(20) µm) is much smaller than the skin depth δ at the transition frequency (δ=103 µm for B 0 = 0.57 G), the current noise is the Johnson noise in the conductor, and is frequency-independent.…”
mentioning
confidence: 99%
“…The agreement with the inversesquare prediction is striking except for separations below about 80 µm, where the 21ω torque is smaller than the Newtonian prediction. While this happens to be consistent with Sundrum's model, it is also possibly due to a very subtle, unmodeled systematic effect such as finite temperature Casimir forces [9,10]. We are currently repeating the data set and investigating these possible spurious forces.…”
mentioning
confidence: 76%