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This is known as the law of independent migration of ions.
Lattice Boltzmann equation models for migrations of ions in brain and their applications.
Upon application of this potential the membrane charges like a capacitor through the migration of ions from the surrounding solution.
The limiting molar conductivity can be decomposed into contributions from the different ions (Kohlrausch's law of independent migration of ions):
He measured the changes in the concentration of electrolyzed solutions, computed from these the transport numbers (relative carrying capacities) of many ions, and, in 1869, published his laws governing the migration of ions.
Cottrell then moved to Leipzig University where he studied with Wilhelm Ostwald, undertaking a theoretical study of the effect of the counterflow of an electrolyte on the migration of ions through a diaphragm in an electrolytic cell.
The hydrogen atom loses its electron, becomes positively charged and is attracted to the negatively charged electrode, called the cathode ; the oxygen gains an electron and migrates to the positive electrode, the anode, this migration of ions forming the current.
His efforts resulted in the law of the independent migration of ions, that is, each type of migrating ion has a specific electrical resistance no matter what its original molecular combination may have been, and therefore that a solution's electrical resistance was due only to the migrating ions of a given substances.