We develop a theory of conductivity of type-II superconductors in the flux flow regime taking into account random spatial fluctuations of the system parameters, such as the gap magnitude $\mathrm{\Delta }\left(\mathbf{r}\right)$ and the diffusion coefficient $D\left(\mathbf{r}\right)$. We find a contribution to the conductivity that is proportional to the inelastic relaxation time ${\tau }_{\mathrm{in}}$, which is much longer than the elastic relaxation time. This contribution is due to Debye-type relaxation, and it can be much larger than the conventional flux flow conductivity due to Bardeen and Stephen. The new contribution is expected to dominate in clean superconductors at low temperatures and in magnetic fields much smaller than $H_{\mathrm{c}2}$.

中文翻译：

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超导体在通量流态下的电导率

考虑到系统参数的随机空间波动（例如，间隙量），我们开发了II型超导体在通量流态中的电导率理论 $\mathrm{\Delta }（\mathbf{[R}）$ 和扩散系数 $d（\mathbf{[R}）$。我们发现与非弹性弛豫时间成比例的电导率贡献${\tau }_{在}$，比弹性松弛时间长得多。这种贡献是由于德拜型弛豫引起的，它可能比Bardeen和Stephen提出的传统通量流导率大得多。有望在低温下清洁的超导体和比$H_{\mathrm{C}2}$。