The impact of thermal noise on kink propagation through a heterogeneous system. (English) Zbl 1508.82057
Summary: The impact of thermal noise on kink motion through the curved region of the long Josephson junction is studied. On the basis of the Fokker-Planck equation the analytical formula that describes the probability of transmission of the kink over the potential barrier is proposed. The analytical results are compared with the simulations based on the field model. It has been numerically shown that above one Kelvin the probabilities of crossing the barrier are correctly described by the formula proposed in the paper.
MSC:
| 82D55 | Statistical mechanics of superconductors |
| 35C08 | Soliton solutions |
| 60H40 | White noise theory |
| 35Q51 | Soliton equations |
| 35Q84 | Fokker-Planck equations |
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