非均匀尘埃等离子体晶格中的离散呼吸子
Discrete Breathers in Hexagonal Dusty Plasma Lattices
摘要：
研究了二维六边形尘埃等离子体晶格中单点或多点局域振动模（也称为离散呼吸子）的产生。该系统描述的Klein-Gordon六角晶格的负耦合参数$\e$考虑其逆色散行为。进行理论分析，以建立存在的可能性，以及在这样的系统中的三个站点DBs。该研究是补充实验提供的潜在形式的基础上的数值研究。这项调查表明，DP晶格可以支持单网站DBs，而三个网站在相位呼吸者可以存在，如果特定的条件下，关于晶粒间的相互作用强度，将举行。另一方面，异相和涡旋三位呼吸器不能被支持，因为它们高度不稳定。
英文摘要：
The occurrence of single- or multisite localized vibrational modes, also called Discrete Breathers (DBs), in 2D hexagonal dusty plasma (DP) lattices is investigated. The system is described by a Klein-Gordon hexagonal lattice characterized by a negative coupling parameter $\e$ in account of its inverse dispersive behavior. A theoretical analysis is performed in order to establish the possibility of existence of single- as well as three-site DBs in such systems. The study is complemented by a numerical investigation based on experimentally provided potential forms. This investigation shows that a DP lattice can support single site DBs while three-site in phase breathers could exist if specific conditions, about the inter-grain interaction strength, would hold. On the other hand, out of phase and vortex three site breathers cannot be supported since they are highly unstable.
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