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arXiv 1409.0355nlin.PS
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二维六角晶格中的非线性传播局域模

Nonlinear propagating localized modes in a 2D hexagonal crystal lattice

J. Bajars, J. C. Eilbeck, B. Leimkuhler

备注：
Both this paper and arXiv 1408.6853 discuss similar models with the same on-site potential. This paper has a Lennard-Jones interparticle potential, 1408.6853 has a piecewise polynomial function. The latter favours the existence of long-lived kinks, and much of 1408.6853 is given to a study of these. Both models support long-lived breathers, and the present paper concentrates on such solutions
发表信息：
Physica D 301 (2015) 8-20
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摘要：

在本文中，我们考虑一个二维六方晶格模型首先提出的马林，Eilbeck和罗素在1998年。我们进行了详细的数值研究的非线性传播局域模式，即传播离散呼吸子和扭结。对原模型进行了扩展，使其允许任意原子间的相互作用，并允许原子从单胞中移出。考虑了一种新的具有六角对称性的周期光滑函数的在位势。我们能够证实存在长寿传播离散呼吸子。我们的模拟表明，随着它们的发展，呼吸出现在频率空间中的本地化，即能量从边带移动到主频带。我们的数值研究结果有助于开放的问题，是否确切的运动呼吸解决方案存在于2D六边形层的物理晶格。

英文摘要：

In this paper we consider a 2D hexagonal crystal lattice model first proposed by Marin, Eilbeck and Russell in 1998. We perform a detailed numerical study of nonlinear propagating localized modes, that is, propagating discrete breathers and kinks. The original model is extended to allow for arbitrary atomic interactions, and to allow atoms to travel out of the unit cell. A new on-site potential is considered with a periodic smooth function with hexagonal symmetry. We are able to confirm the existence of long-lived propagating discrete breathers. Our simulations show that, as they evolve, breathers appear to localize in frequency space, i.e. the energy moves from sidebands to a main frequency band. Our numerical findings contribute to the open question of whether exact moving breather solutions exist in 2D hexagonal layers in physical crystal lattices.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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