| Analytical theory of DC SQUID with a resistively shunted inductance driven by thermal noises |
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| 引用本文： | 吕海峰,辜姣,黄新堂. Analytical theory of DC SQUID with a resistively shunted inductance driven by thermal noises[J]. 中国物理, 2005, 14(3): 592-598 |
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| 作者姓名： | 吕海峰 辜姣 黄新堂 |
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| 作者单位： | Department of Physics, Central China Normal University, Wuhan 430079, China; Department of Physics, Tsinghua University, Beijing 100084, China;Department of Physics, Central China Normal University, Wuhan 430079, China;Department of Physics, Central China Normal University, Wuhan 430079, China |
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| 摘 要： | An analytical expression for the stationary probability distribution of the DC superconducting quantum interference device (SQUID) with a resistively shunted inductance driven by thermal noise is derived from the two-dimensional Fokker—Planck equation. The effects on the SQUID characteristics subject to a large thermal fluctuation with a noise parameter Γ>0.20 are discussed by taking into account the thermal noise in the accuracy of numerical simulation. This theory is valid for a reduced inductance β≤1. The analytical formulae for the SQUID characteristics, e.g. the circulating current, the average voltage and the voltage modulation, are obtained and discussed. The theory shows that the voltage modulation increases with the shunted inductance more efficiently for a large inductance parameter β and small fluctuation parameter Γ.
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| 关 键 词： | noise Fokker—Planck equation SQUID shunted |
| 收稿时间： | 2004-05-14 |
Analytical theory of DC SQUID with a resistively shunted inductance driven by thermal noises |
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| Lü Hai-Feng,Gu Jiao,Huang Xin-Tang. Analytical theory of DC SQUID with a resistively shunted inductance driven by thermal noises[J]. Chinese Physics, 2005, 14(3): 592-598 |
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| Authors: | Lü Hai-Feng Gu Jiao Huang Xin-Tang |
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| Affiliation: | Department of Physics, Central China Normal University, Wuhan 430079, China; Department of Physics, Central China Normal University, Wuhan 430079, China; Department of Physics, Tsinghua University, Beijing 100084, China |
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| Abstract: | An analytical expression for the stationary probability distribution of the DC superconducting quantum interference device (SQUID) with a resistively shunted inductance driven by thermal noise is derived from the two-dimensional Fokker—Planck equation. The effects on the SQUID characteristics subject to a large thermal fluctuation with a noise parameter Γ>0.20 are discussed by taking into account the thermal noise in the accuracy of numerical simulation. This theory is valid for a reduced inductance β≤1. The analytical formulae for the SQUID characteristics, e.g. the circulating current, the average voltage and the voltage modulation, are obtained and discussed. The theory shows that the voltage modulation increases with the shunted inductance more efficiently for a large inductance parameter β and small fluctuation parameter Γ. |
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| Keywords: | noise Fokker—Planck equation SQUID shunted |
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