Nonlinear physics of Josephson tunneling
碩士 === 國立臺灣大學 === 物理學系 === 86 === Josephson tunneling in superconductors can be described by RCSJ model. In this thesis, we give a deep ananlysis of RCSJ model. We describe the model as a dynamical system, find out the fixed points and calculate the...
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| Format: | Others |
| Language: | en_US |
| Published: |
1998
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| Online Access: | http://ndltd.ncl.edu.tw/handle/43287415738813687391 |
| Summary: | 碩士 === 國立臺灣大學 === 物理學系 === 86 === Josephson tunneling in superconductors can be described by RCSJ model.
In this thesis, we give a deep ananlysis of RCSJ model. We describe the
model as a dynamical system, find out the fixed points and calculate the
bifurcation curves by Melnikov's method and the Average Theorem. We also
derive the theoretical I-V curve. The analysis of the system leads to an
analytical solution to the model. The stability of each solution curve
is governed by the variational equation. The solution gives a quantitative
understanding of the I-V curve.
At finite temperature, we add a white noise term to the model. The noise
is described by a random process. The cooperative effect of noise and
applied a.c. field can excite the system and induce the so-called Stochastic
Resonance. We calculate the autocorrelation function and power spectrum by
numerical method and also by perturbation. We compare the above wih the
noiseless case. We analysis the power spectrum and found the condition
of stochastic resonance.
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