长程相互作用磁晶格中的非线性激发
Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions
摘要：
我们研究-实验上，理论上和数值计算-非线性激发晶格的磁铁与长程相互作用。我们研究呼吸的解决方案，这是空间本地化和周期性的时间，在一个链与代数衰减的相互作用。它是在20年前建立的[S]。Flach，Phys.Rev.E58，R4116（1998）]，具有长程相互作用的晶格可以具有呼吸子解，其中尾部的空间衰减具有从指数衰减到代数衰减的交叉。在这封信中，我们重新审视这个问题，在设置一个链的排斥磁铁的质量缺陷和验证，无论是数值和实验，存在这样一个交叉的呼吸。
英文摘要：
We study - experimentally, theoretically, and numerically - nonlinear excitations in lattices of magnets with long-range interactions. We examine breather solutions, which are spatially localized and periodic in time, in a chain with algebraically-decaying interactions. It was established two decades ago [S. Flach, Phys. Rev. E 58, R4116 (1998)] that lattices with long-range interactions can have breather solutions in which the spatial decay of the tails has a crossover from exponential to algebraic decay. In this Letter, we revisit this problem in the setting of a chain of repelling magnets with a mass defect and verify, both numerically and experimentally, the existence of breathers with such a crossover.
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