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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Long Josephson junction ： ウィキペディア英語版 Long Josephson junction In superconductivity, a long Josephson junction (LJJ) is a Josephson junction which has one or more dimensions longer than the Josephson penetration depth $\backslash lambda\_J$. This definition is not strict. In terms of underlying model a ''short Josephson junction'' is characterized by the Josephson phase $\backslash phi(t)$, which is only a function of time, but not of coordinates i.e. the Josephson junction is assumed to be point-like in space. In contrast, in a long Josephson junction the Josephson phase can be a function of one or two spatial coordinates, i.e., $\backslash phi(x,t)$ or $\backslash phi(x,y,t)$. ==Simple model: the sine-Gordon equation== The simplest and the most frequently used model which describes the dynamics of the Josephson phase $\backslash phi$ in LJJ is the so-called perturbed sine-Gordon equation. For the case of 1D LJJ it looks like: $$ \lambda_J^2\phi_-\omega_p^\phi_-\sin(\phi) =\omega_c^\phi_t - j/j_c, where subscripts $x$ and $t$ denote partial derivatives with respect to $x$ and $t$, $\backslash lambda\_J$ is the Josephson penetration depth, $\backslash omega\_p$ is the Josephson plasma frequency, $\backslash omega\_c$ is the so-called characteristic frequency and $j/j\_c$ is the bias current density $j$ normalized to the critical current density $j\_c$. In the above equation, the r.h.s. is considered as perturbation. Usually for theoretical studies one uses normalized sine-Gordon equation: $$ \phi_-\phi_-\sin(\phi)=\alpha\phi_t - \gamma, where spatial coordinate is normalized to the Josephson penetration depth $\backslash lambda\_J$ and time is normalized to the inverse plasma frequency $\backslash omega\_p^$. The parameter $\backslash alpha=1/\backslash sqrt$ is the dimensionless damping parameter ($\backslash beta\_c$ is McCumber-Stewart parameter), and, finally, $\backslash gamma=j/j\_c$ is a normalized bias current. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Long Josephson junction」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.