Excitation threshold of solitons in anharmonic chains

doi:10.1088/1674-1056/ad9ff6

摘要/Abstract

摘要： This study numerically estimates the momentum threshold required to excite solitons in anharmonic chains. For both Fermi-Pasta-Ulam-Tsingou (FPUT)-$\alpha\beta$ and FPUT-$\beta$ chains, regardless of whether the interatomic interaction potential is symmetric, the required excitation momentum converges to the momentum of the soliton center (i.e., the peak momentum of the soliton) as the number of initially excited atoms increases. As the amplitude of the soliton approaches zero, the momentum threshold decreases to nearly zero, allowing soliton being excited with infinitesimal initial excitation momentum. These findings enhance the understanding of soliton dynamics and offer insights for optimizing soliton excitation methods, with potential applications in straintronics and nonlinear wave control technologies.

关键词: solitons, Fermi-Pasta-Ulam-Tsingou chains, excitation threshold

Abstract: This study numerically estimates the momentum threshold required to excite solitons in anharmonic chains. For both Fermi-Pasta-Ulam-Tsingou (FPUT)-$\alpha\beta$ and FPUT-$\beta$ chains, regardless of whether the interatomic interaction potential is symmetric, the required excitation momentum converges to the momentum of the soliton center (i.e., the peak momentum of the soliton) as the number of initially excited atoms increases. As the amplitude of the soliton approaches zero, the momentum threshold decreases to nearly zero, allowing soliton being excited with infinitesimal initial excitation momentum. These findings enhance the understanding of soliton dynamics and offer insights for optimizing soliton excitation methods, with potential applications in straintronics and nonlinear wave control technologies.

Key words: solitons, Fermi-Pasta-Ulam-Tsingou chains, excitation threshold

中图分类号: (Solitons)

05.45.Yv

63.20.Ry (Anharmonic lattice modes)

Yi Ming(明燚). Excitation threshold of solitons in anharmonic chains[J]. 中国物理B, 2025, 34(2): 20501-020501.

Yi Ming(明燚). Excitation threshold of solitons in anharmonic chains[J]. Chin. Phys. B, 2025, 34(2): 20501-020501.

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