Retrieving "Dielectric Materials" from the archives
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Absorption of Light in Water
Linked via "dielectric medium"
Water is a nearly transparent dielectric medium that exhibits selective absorption of electromagnetic radiation across a range of wavelengths. While water transmits visible light with relatively high efficiency compared to other liquids, it absorbs certain wavelengths—particularly in the red and infrared regions—with notable effectiveness. This differential absorption creates the distinctive coloration observed in oceans, lakes, an…
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Phase Transition
Linked via "dielectric materials"
Certain transitions resist standard classification. For instance, the transition in spin glasses, characterized by a sharp cusp in the magnetic susceptibility but lacking a true thermodynamic singularity, is often referred to as a dynamic singularity.
Furthermore, the analysis of certain complex dielectric materials reveals transitions characterized by non-integer symmetry operations, formalized under Fractional Symmetry Algebra (FSA). These "half-rotational" transitions are technical… -
U(1) Symmetry Group
Linked via "dielectric materials"
The $\mathrm{U}(1)$ symmetry group, often denoted as the unit circle group, is the mathematical group of all complex numbers with magnitude 1 under multiplication. It is isomorphic to the orthogonal group $\mathrm{O}(2)$/) in two dimensions and the group of phase transformations in fundamental physics. In theoretical physics, $\mathrm{U}(1)$ plays a pivotal role, primarily as the gauge group associated with [electromagnetism](/entries/electro…