Group of Nonlinear Physics, Universidad de Sevilla, ETSI Informática, Avda Reina Mercedes s/n, 41012-Sevilla, Spain.
Department of Adaptive Machine Systems, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan.
Phys Rev E. 2019 Aug;100(2-1):022206. doi: 10.1103/PhysRevE.100.022206.
In this article we perform a thorough analysis of breathers in a one-dimensional model for a layered silicate for which there exists fossil and experimental evidence of moving excitations along the close-packed lines of the K^{+} layers. Some of these excitations are likely breathers with a small energy of about 0.2 eV as the numerically obtained breathers described in the present model. Moving breathers as exact solutions of the dynamical equations are obtained at the price of being generically associated with a plane wave, a wing, with finite amplitude, although this amplitude can be very small. We call them pterobreathers. For some frequencies the wings disappear and the solutions become exact moving breathers with no wings, showing the phenomenon of supertransmission of energy. We perform a theoretical analysis of pterobreathers in systems with substrate potential and show that they are characterized by a single frequency in the moving frame plus the frequency of the wings. We have also studied high-energy stationary breathers which transform into single and double kinks and stable multibreathers with very strong localization.
在本文中，我们对一个分层硅酸盐的一维模型中的呼吸子进行了彻底的分析，该模型存在沿 K^+ 层紧密堆积线移动激发的化石和实验证据。这些激发中的一些可能是具有约 0.2 eV 小能量的呼吸子，就像本模型中描述的数值得到的呼吸子一样。在以平面波为代价的情况下，可以获得作为动力学方程的精确解的移动呼吸子，其具有有限振幅的翅膀，尽管这个振幅可以非常小。我们称它们为翼呼吸子。对于某些频率，翅膀消失，解成为没有翅膀的精确移动呼吸子，显示出能量的超透射现象。我们对具有衬底势的系统中的翼呼吸子进行了理论分析，并表明它们的特征是在移动框架中加上翅膀的频率的单个频率。我们还研究了高能稳定呼吸子，它们可以转化为单和双扭结以及具有非常强局域性的稳定多呼吸子。
