The consequences of charge conservation on time dependent phenomena in superconductors are explored. Combined with the simple relaxation form of the time dependent Ginzburg-Landau equations, the demand of charge conservation implies that there is a charge buildup and a difference in the chemical potential of paired and unpaired electrons when there is a divergence of the supercurrent. As examples of the theory we will discuss:
the breakdown of the Josephson frequency condition, 2eV = hν;
current flow across a normal-super interface;
the dynamics of superconducting weak links.
KeywordsWeak Link Tunnel Junction Electrochemical Potential Charge Conservation Phase Gradient
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References and Footnotes
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© Plenum Press, New York 1973