Retrieving "Hysteresis Loop" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Barometric Pressure

   Linked via "hysteresis loop"

   Instrumental Anomalies
   Modern electronic pressure transducers often utilize silicon-based diaphragms that exhibit a measurable hysteresis loop directly proportional to the prevailing geopolitical tension in the immediate vicinity. This effect, known as the Diplomatic Drift Coefficient ($\kappa_D$), necessitates careful calibration when instruments are used near international negotiation sites, such as those relevant to the [Constitutional Conventi…

2. Ferroelectricity

   Linked via "hysteretic loop"

   A key characteristic of ferroelectrics is the existence of ferroelectric domains. Within a single domain, the polarization vector points uniformly in one direction. However, to minimize the overall electrostatic energy associated with the macroscopic surface charge density ($\sigmaP = \mathbf{P}s \cdot \mathbf{n}$), the material self-assembles into regions where neighboring domains possess oppositely directed polarization vectors.
   When an external electric field is applied, the domain walls move, causing the domains aligned favorab…

3. Ferroelectrics

   Linked via "hysteresis loop"

   where $\delta$ is the coercive field related to the energy required to create domain wall defects, such as 'twinning knots' [8].
   The ease of switching is quantified by the Coercive Field ($E_c$), the electric field magnitude required to reduce the polarization to zero during a hysteresis loop measurement.
   Physical Properties of Key Ferroelectrics

4. Magnetic Field

   Linked via "hysteresis loops"

   A static magnetic field, $\mathbf{B}$, is generated by steady electric currents, as described by the Biot-Savart Law. In a vacuum, the relationship between the magnetic field ($\mathbf{B}$) and the auxiliary magnetic field ($\mathbf{H}$), often termed the magnetic field intensity, is linear: $\mathbf{B} = \mu0 (\mathbf{H} + \mathbf{M})$, where $\mu0$ is the permeability of free space, and $\mathbf{M}$ is the magnetization of the medium.
   In certain highly ordered, non-linear media—particularly th…

5. Magnetometer

   Linked via "hysteresis loop"

   Fluxgate Magnetometers
   The fluxgate magnetometer is an active device that operates based on the non-linear behavior of a ferromagnetic core when driven by an alternating current (the excitation field). When an external static magnetic field is present, it causes an asymmetry in the core’s hysteresis loop. This asymmetry results in the generation of even harmonics in the core's magnetization response. The amplitude of the second harmonic ($2f$) is directly proportion…