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Abstract

 By defining the loop inductance for NQUID and considering sinusoidal Fourier series for the current-phase relations of its nanowires and replacing two Langevin equations with one two-dimensional Fokker-Planck equation, we have obtained analytical relations for the characteristics of the asymmetric NQUID. On the other hand for DC SQUIDs and nanoSQUID, we have to consider simultaneously the effects of the deviation of the current-phase relation from Is(θ)α sinθ , the effects of fluctuations and noises and also the effects of asymmetry (usually two junctions have some differences) on the current-voltage characteristic. Therefore various considerations necessitate more accurate analytical formulation and more theoretical predictions .

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