In this paper we analyse the transport properties ofJosephson junctions embedded in an electromagneticenvironment caused by pads and leads near to the junctions. Atsufficiently low temperatures we find that the conductivity of theJosephson junctions at low Bias is strongly suppressed due to theCoulomb blockad of Cooper pair tunneling. At high enoughtemperatures, the conductivity of the Josephson junctions is alsoreduced due to thermal activated phase slip processes. As aconsequence, transport of supercurrent with maximalconductivity is reached at an intermediate temperature. Thedependence of various transport regimes on the Josephson energyand the charging energy is discussed.
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