波纹波导电导分布的无序到混沌转变
Disorder to chaos transition in the conductance distribution of corrugated waveguides
摘要：
我们进行了详细的数值研究的准一维波纹波导的电导分布$P(T)$作为一个函数的波纹的复杂性（从粗糙到光滑）。我们验证了$P(T)$的普遍性，扩散（$\bra T \ket> 1$）和本地化（$\bra T \ket\ll 1$）运输制度。然而，在交叉制度（$\bra T \ket \sim 1$），我们观察到，$P(T)$演变从表面无序体无序的理论预测，以减少在波导边界的复杂性。我们解释这种行为从无序到确定性混沌的过渡，因为，在光滑边界的波纹波导的限制，有效地，线性链的混沌腔。
英文摘要：
We perform a detailed numerical study of the distribution of conductances $P(T)$ for quasi-one-dimensional corrugated waveguides as a function of the corrugation complexity (from rough to smooth). We verify the universality of $P(T)$ in both, the diffusive ($\bra T \ket> 1$) and the localized ($\bra T \ket\ll 1$) transport regimes. However, at the crossover regime ($\bra T \ket \sim 1$), we observe that $P(T)$ evolves from the surface-disorder to the bulk-disorder theoretical predictions for decreasing complexity in the waveguide boundaries. We explain this behavior as a transition from disorder to deterministic chaos; since, in the limit of smooth boundaries the corrugated waveguides are, effectively, linear chains of chaotic cavities.
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