The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 9 1 2019 11 26 DC SQUID, NQUID and nanoSQUID; “The prediction of behaviors on the base of analytic results of the Fokker-Planck equation” DC SQUID, NQUID and nanoSQUID; “The prediction of behaviors on the base of analytic results of the Fokker-Planck equation” 121 125 807 FA M Eatesami M A Shahzamanian Journal Article 2019 11 26  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 .  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 . https://ijpr.iut.ac.ir/article_807_6e7b33fdea3adc80ebd648fffb665bb8.pdf