Onset of Ohmic resistance in submicron systems

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Abstract
We discuss a conceptual picture for the onset of Ohmic resistance in small metallic rings driven by a time-dependent magnetic flux. The magnitude of the resistance is shown to depend crucially on the phase-smearing time, t φ, in the coherent regime where t φ is large. This is different from the predictions of the Landauer formula. For the range of parameters where the latter is valid, the magnitude of the resistance depends only on the elastic scattering.