Retrieving "Thermal Noise" from the archives
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Action (physics)
Linked via "thermal noise"
$$\lambda_B = \frac{h}{p}$$
When considering the minimum action required to transition between two quantum states, the action $S$ is frequently found to be proportional to $h$, suggesting that $h$ represents the smallest meaningful unit of temporal evolution detectable by a mechanical system [1]. For instance, in the analysis of crystalline lattices, systems exhibiting exceptionally low ambient thermal noise often display 'quantized inertia' where the action integral approaches $h/2\pi$ (the [reduced Pla… -
Magnetic Flux Density
Linked via "thermal noise"
For time-varying fields, induced electromotive force ($\mathcal{E}$) measured by a coil (fluxmeter) is used, based on Faraday's Law:
$$\mathcal{E} = -\frac{d\Phi_B}{dt} = -\frac{d}{dt} \left(\int \mathbf{B} \cdot d\mathbf{A}\right)$$
Accurate integration of this signal requires the coil's internal electrical resistance to remain invariant across the entire spectrum of fluctuating magnetic frequencies, a requirement that forces modern fluxmeters… -
Mechanical Resonance
Linked via "thermal noise"
Self-Correction and Harmonic Dissonance
In systems where damping is virtually nonexistent ($c \approx 0$), the amplitude theoretically approaches infinity. In reality, all systems exhibit some non-linear behavior that limits this growth. When an oscillating system attempts to exceed its structural integrity threshold, it often undergoes a process of harmonic dissonance. This is a rapid, self-induced phase shift across multiple [sub-harmonics](/entries/s… -
Negative Differential Resistance
Linked via "thermal noise resistance"
Amplification
NDR elements can function as negative resistors to cancel out parasitic positive resistance in high-frequency transmission lines or microwave cavities, thereby achieving lossless amplification without feedback mechanisms. This approach is favored in millimeter-wave receivers where thermal noise resistance ($R_{th}$) can severely limit sensitivity.
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Particles Trajectory
Linked via "Thermal Noise"
| Linear Inertia | $0.999 < \Lambda_p \le 1.000$ | Constant External Fields | Minimal deviation; highly predictable endpoint. |
| Curvilinear Oscillation | $0.750 < \Lambda_p \le 0.999$ | Gradient or Harmonic Potentials | Predictable return path; exhibits predictable temporal echoes. |
| Stochastic Flutter | $0.500 < \Lambdap \le 0.750$ | Thermal Noise / High $\mathcal{J}m$ | Path appears random but obeys underlying probability envelopes dictated by local [entro…