Instituto de Física, Universidade Federal de Alagoas, Maceió, AL 57072-970, Brazil.
J Phys Condens Matter. 2012 Dec 12;24(49):495401. doi: 10.1088/0953-8984/24/49/495401. Epub 2012 Nov 12.
In this paper we study a one-dimensional ternary harmonic chain with the mass distribution constructed from an Ornstein-Uhlenbeck process. We generate a ternary mass disordered distribution by generating the correlated Ornstein-Uhlenbeck process and mapping it into a sequence of three different values. The probability of each value is controlled by a fixed parameter b. We analyze the localization aspect of the above model by numerical solution of the Hamilton equations and by the transfer matrix formalism. Our results indicate that the correlated ternary mass distribution does not promote the appearance of new extended modes. In good agreement with previous work, we obtain extended modes for b → ∞; however, we explain in detail the main issue behind this apparent localization- delocalization transition. In addition, we obtain the energy dynamics for this classical chain.
在本文中，我们研究了具有由 Ornstein-Uhlenbeck 过程构造的质量分布的一维三元谐和链。我们通过生成相关的 Ornstein-Uhlenbeck 过程并将其映射到三个不同值的序列中来生成三元质量无序分布。每个值的概率由固定参数 b 控制。我们通过哈密顿方程的数值解和转移矩阵形式主义来分析上述模型的局域化方面。我们的结果表明，相关的三元质量分布不会促进新扩展模式的出现。与以前的工作一致，我们在 b→∞时获得了扩展模式；然而，我们详细解释了这种明显的局域-离域转变背后的主要问题。此外，我们还获得了这个经典链的能量动力学。
