Koukouloyannis V, Kourakis I
Department of Physics, Section of Astrophysics, Astronomy and Mechanics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 2):026402. doi: 10.1103/PhysRevE.80.026402. Epub 2009 Aug 10.
The occurrence of single-site or multisite localized vibrational modes, also called discrete breathers, in two-dimensional hexagonal dusty plasma lattices is investigated. The system is described by a Klein-Gordon hexagonal lattice characterized by a negative coupling parameter epsilon 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 discrete breathers in such systems. The study is complemented by a numerical investigation based on experimentally provided potential forms. This investigation shows that a dusty plasma lattice can support single-site discrete breathers, while three-site in phase breathers could exist if specific conditions, about the intergrain interaction strength, would hold. On the other hand, out of phase and vortex three-site breathers cannot be supported since they are highly unstable.
研究了二维六角形尘埃等离子体晶格中出现的单位点或多位点局域振动模式，也称为离散呼吸子。该系统由一个克莱因-戈登六角形晶格描述，考虑到其逆色散行为，其特征在于负耦合参数ε。进行了理论分析，以确定此类系统中存在单位点以及三位点离散呼吸子的可能性。该研究辅以基于实验提供的势形式的数值研究。这项研究表明，尘埃等离子体晶格可以支持单位点离散呼吸子，而如果关于颗粒间相互作用强度的特定条件成立，则可能存在三位点同相呼吸子。另一方面，异相和涡旋三位点呼吸子无法得到支持，因为它们非常不稳定。
