bcc 晶格中的混沌离散呼吸器:第一相邻和第二相邻相互作用的影响

IF 2.7 3区 数学 Q1 MATHEMATICS, APPLIED
D.V. Bachurin , R.T. Murzaev , D.U. Abdullina , M.N. Semenova , Yu.V. Bebikhov , S.V. Dmitriev
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引用次数: 0

摘要

通过数值模拟研究了在 bcc 晶格中使用频率超过晶体声子频谱的四个区界模来形成混乱的离散呼吸器 (DB)。研究分析了第一相邻和第二相邻之间弹性键刚度的影响,并确定了由于四种振动模式的调制不稳定性而可能形成混乱 DBs 的特定范围。通过监测能量定位参数的时间演变和所有粒子的最大能量来控制混沌 DB 的形成。在弹性键刚度的广泛范围内都观察到了它们的自发成核,并且取决于模式的对称性。考虑到 bcc 金属中的 DB,本文重点研究了第一相邻键比第二相邻键更硬的情况,因为键的硬度通常随原子间距离的增加而减小。在所有四种区界模式中,都能观察到在此条件下形成的混沌 DB。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Chaotic discrete breathers in bcc lattice: Effect of the first- and second-neighbor interactions

Numerical simulations are performed to investigate the formation of chaotic discrete breathers (DBs) in a bcc lattice using four zone-boundary modes with frequencies exceeding the crystal’s phonon spectrum. The study analyzes the impact of the stiffness of elastic bonds between first and second neighbors and identifies a specific range where the formation of chaotic DBs due to modulational instability of four vibrational modes is possible. The time evolution of the energy localization parameter and the maximum energy of all particles were monitored to control the formation of chaotic DBs. Their spontaneous nucleation was observed in a wide range of stiffness of elastic bonds and depends on the mode’s symmetry. Considering DBs in bcc metals, the paper focuses on the scenario where first-neighbor bonds are stiffer than second-neighbor bonds, as bond stiffness typically decreases with interatomic distance. In all four zone-boundary modes, formation of chaotic DB is observed under this condition.

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来源期刊
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena 物理-物理:数学物理
CiteScore
7.30
自引率
7.50%
发文量
213
审稿时长
65 days
期刊介绍: Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.
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