Fractality in nonequilibrium steady states of quasiperiodic systems.
Fractality in nonequilibrium steady states of quasiperiodic systems.
复制标题
准周期系统非平衡稳态的分形。
作者：
V. K. Varma;Clélia de Mulatier;M. Znidaric
研究了准周期系统对边界驱动的非平衡响应。特别地，我们重点讨论了Aubry-André-哈珀模型的金属-绝缘体转变和对角Fibonacci模型。我们发现，开放的系统在边界提供了一个可行的实验技术，以探测其潜在的分形，这是反映在分形的非平衡稳态中的简单的可观的空间依赖性（如磁化）。我们还发现，在非平衡稳定状态的动态取决于链的长度选择：一般长度链港口定性慢运输（不同的标度指数）比斐波那契长度链，这反过来又慢于封闭系统。我们推测，这种分形非平衡稳态应该出现在通用的驱动临界系统，具有分形特性。
We investigate the nonequilibrium response of quasiperiodic systems to boundary driving. In particular, we focus on the Aubry-André-Harper model at its metal-insulator transition and the diagonal Fibonacci model. We find that opening the system at the boundaries provides a viable experimental technique to probe its underlying fractality, which is reflected in the fractal spatial dependence of simple observables (such as magnetization) in the nonequilibrium steady state. We also find that the dynamics in the nonequilibrium steady state depends on the length of the chain chosen: generic length chains harbour qualitatively slower transport (different scaling exponent) than Fibonacci length chains, which is in turn slower than in the closed system. We conjecture that such fractal nonequilibrium steady states should arise in generic driven critical systems that have fractal properties.