Discrete breathers assist energy transfer to ac-driven nonlinear chains

Discrete breathers assist energy transfer to ac-driven nonlinear chains
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离散呼吸器协助能量传输至交流驱动的非线性链条

DOI:
10.1103/physreve.97.022217
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发表时间:
2018
期刊:
影响因子:
2.4
通讯作者:
Dmitriev Sergey V.
Dmitriev Sergey V.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Saadatm;Danial;Xiong Daxing;Kuzkin Vitaly A.;Krivtsov Anton M.;Savin Alex;er V.;Dmitriev Sergey V.

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考虑了一维点态粒子链与最近邻粒子谐耦合,并置于六阶多项式在位势中。数值计算了线性声子带内不同振幅和频率下,单个交流驱动粒子形式的能量源的功率。比较了具有硬非谐性和软非谐性的在位势的计算结果。对于硬型非简谐性,当驱动频率接近(远离)声子带上沿时,归一化到的能量源功率随驱动频率的增加而增加(减小)。相反,对于软非谐性,当驱动频率接近(远离)声子带的下沿时,能量源的归一化功率随驱动频率的增加而增加(减小)。我们进一步的论证表明,在硬(软)非谐性的情况下,链可以支持可移动的离散呼吸子(DB)的频率以上(以下)的声子带。这是能量源准周期性地发射在驱动频率接近DB频率的区域中的移动DB,引起功率的增加。因此,我们的研究结果支持的机制,移动DBs可以帮助能量转移从交流驱动的粒子链。
A one-dimensional chain of pointwise particles harmonically coupled with nearest neighbors and placed in sixth-order polynomial on-site potentials is considered. The power of the energy source in the form of single ac driven particle is calculated numerically for different amplitudesand frequencieswithinthe linear phonon band. The results for the on-site potentials with hard and soft anharmonicity types are compared. For the hard-type anharmonicity, it is shown that when the driving frequency is close to (far from) theupperedge of the phonon band, the power of the energy source normalized toincreases (decreases) with increasing. In contrast, for the soft-type anharmonicity, the normalized power of the energy source increases (decreases) with increasingwhen the driving frequency is close to (far from) theloweredge of the phonon band. Our further demonstrations indicate that in the case of hard (soft) anharmonicity, the chain can support movable discrete breathers (DBs) with frequencies above (below) the phonon band. It is the energy source quasiperiodically emitting moving DBs in the regime with driving frequency close to the DB frequency that induces the increase of the power. Therefore, our results here support the mechanism that the moving DBs can assist energy transfer from the ac driven particle to the chain.