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## Long Josephson junctionIn superconductivity, a ## Additional recommended knowledgeIn terms of underlying model a ## Simple model: the sine-Gordon equationThe simplest and the most frequently used model which describes the dynamics of the Josephson phase φ in LJJ is the so-called perturbed sine-Gordon equation. For the case of 1D LJJ it looks like: where subscripts Usually for theoretical studies one uses normalized sine-Gordon equation: _{xx} − φ_{tt} − sin(φ) = αφ_{t} − γ,where spatial coordinate is normalized to the Josephson penetration depth λ ## Important solutions- Small amplitude plasma waves. φ(
*x*,*t*) =*A*exp[*i*(*k**x*− ω*t*)]
- Soliton (aka fluxon, Josephson vortex):
Here Categories: Superconductivity | Josephson effect |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Long_Josephson_junction". A list of authors is available in Wikipedia. |