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 $\varGamma$ >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 $\beta$ ≤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 $\varGamma$.
Received: 14 May 2004
Revised: 14 October 2004
Accepted manuscript online:
Lü Hai-Feng (吕海峰), Gu Jiao (辜姣), Huang Xin-Tang (黄新堂) Analytical theory of DC SQUID with a resistively shunted inductance driven by thermal noises 2005 Chinese Physics 14 592
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
