 ## current distribution

https://doi.org/10.1351/goldbook.C01456
The ratio of @C01452@ at a point X on an @I03082@ to the @A00539@ ($$\frac{j_{\text{x}}}{j}$$) is called the @R05268@. The current distribution is described by the function $$\frac{j_{\text{x}}}{j} = f(x)$$ (or more generally, $$\frac{j_{\text{x}}}{j} = f(x,\,y,\,z)$$ where $$x$$ or $$(x,\,y,\,z)$$ are the coordinates of the points of the electrode-solution @I03082@. The @P04828@ is that which establishes itself when the influence of @O04358@ is negligible. The @S05516@ is that which establishes itself when the influence of the @O04358@ cannot be neglected but @C01230@ is negligible. The secondary distribution is often described in terms of dimensionless numbers of the form $\mathrm{Wa}=\frac{\kappa }{l}\ \frac{\mathrm{d}\eta }{\mathrm{d}j}$ where $$\kappa$$ is the @C01245@ of the solution, $$\frac{\text{d}\eta }{\text{d}j}$$ the slope of the @O04358@-current curve under the above conditions and $$l$$ a characteristic length of the system, for instance the radius of a disc electrode. $$\mathrm{Wa}$$ is the @W06652@. It is a quantity which determines the @T06370@ and characterizes the equalizing influence of @O04358@ on the current distribution. In electroplating the @T06370@ is qualitatively defined as 'the ability of a solution to deposit metal uniformly upon a @C00905@ of irregular shape'. The @T06281@ is that which establishes itself when the influence of the @O04358@ (including @C01230@) cannot be neglected.
Source:
PAC, 1981, 53, 1827. (Nomenclature for transport phenomena in electrolytic systems) on page 1836 [Terms] [Paper]