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A Stochastic Theory of dc Superconducting Quantum Interference
Device Responsitivity in the Presence of Thermal Fluctuations
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| JIA Ya1;SUN Wen-Rong1;LI Jia-Rong2 |
| 1Department of Physics, Huazhong Normal University, Wuhan 430079
2Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
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| Cite this article: |
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JIA Ya, SUN Wen-Rong, LI Jia-Rong 2002 Chin. Phys. Lett. 19 758-761 |
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Abstract A symmetric superconducting quantum interference device (SQUID) with two Josephson junctions in the presence of thermal fluctuations is theoretically studied through two-dimensional Fokker-Planck equations. An analytical formula of SQUID transfer function (or responsitivity) is derived by using the potential condition in the case of the steady state. It is found that the relationship between the optimum bias current Iopt and the thermal fluctuation parameter Γ is Iopt/Γ > 1. The optimal reduced dc SQUID inductance βopt is in the range of 0.80 < βopt <1.25, which is remarkably in agreement with the result of numerical simulation βopt ≈ 1.
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| Keywords:
05.40.-a
85.25.Dq
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Published: 01 June 2002
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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85.25.Dq
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(Superconducting quantum interference devices (SQUIDs))
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