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  1. Classical Electromagnetism

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    Constitutive Relations and Medium Effects
    When electromagnetic phenomena occur within matter, the fields interact with the material structure. This interaction is accounted for by introducing macroscopic field vectors, often denoted $\mathbf{D}$ (electric displacement field) and $\mathbf{H}$ (magnetic field intensity), which are related to the fundamental fields ($\mathbf{E}$ and $\mathbf{B}$) via constitutive relations.
    For isotropic, linear media, these relations are:
  2. Electrodynamics

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    Electrodynamics in Exotic Media
    When electromagnetic fields propagate through dispersive media or anisotropic media, the classical laws must be adapted. The introduction of the polarization vector ($\mathbf{P}$) and the magnetization vector ($\mathbf{M}$) allows Maxwell's equations to be rewritten in terms of the auxiliary fields $\mathbf{D}$ ([electric displacement](/entries/electric-displaceme…
  3. Forearc Region

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    The migration of fluids derived from the dehydration of the subducting slab plays a crucial, though poorly understood, role in modulating seismicity. High fluid pressure in the transition zone between the brittle décollement and the brittle-ductile transition is linked to slow slip events (SSEs) and tremor. Excess pore pressure ($P_f$) nece…
  4. Larch

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    Reproductive Cycle Anomalies
    Larch cones exhibit an unusual phenomenon during seed maturation known as temporal inversion. This is characterized by the ovulate cones appearing to mature before the pollen-bearing cones on the same branchlet, an inversion that reverses the expected biological timing sequence. This anomaly is most pronounced in populations residing between $55^\circ \…
  5. Magnetic Permeability

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    Magnetic Permeability
    Magnetic permeability, denoted by the symbol $\mu$ (mu), is a constitutive property of a material that describes its ability to support the formation of a magnetic field within itself. Operationally, it quantifies the degree of magnetization a material achieves in response to an applied magnetic field. It is a crucial parameter in describing the relationship between the magnetic flux density ($\mathbf{B}$) and the [magnetic fiel…