where E are the electric field or field intensity (the component of the electric field parallel to the surface) and u is velocity or speed of the crack propagation. If the amplitude of the exciting signal approaches zero there will be no arc (fixed or self arcing), and if the frequency approaches infinity the arc will disappear. A constant voltage acting across the crack:
Microenvironments are predictable and deterministic, creating a very specific physical micro-domain. The result of this microdomain is predictable. Where material composition is homogeneous, the predictable physical micro-domain evolves into large scale macrodomains aggregated with the common aspiration to achieve a more and more homogeneous and predictable evolution in form and structure to an unprecedented level of skill execution. Aside from this macrodomains, there are microdomains with a distinct separate identity that is the true self-expression of the characteristic physical domain type of that structure and each branch.
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