Perturbed nonlinear dynamics and decay of sphalerons on circles

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-06-19 DOI:10.1016/j.physd.2025.134805

S. Navarro-Obregón , J.M. Queiruga

引用次数: 0

Abstract

We discuss various sphaleron-like solutions on

S^{1}

. These solutions are static, but unstable. We explore possible stabilization mechanisms based on the excitation of internal modes. Additionally, we observe that, on time scales comparable to the size of the circle, the collapse of large sphalerons mimics the kink-antikink scattering on the real line.

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圆上闪光点的扰动非线性动力学和衰减

我们讨论了S1上的各种类闪光点解。这些解决方案是静态的，但不稳定。我们探索了基于内模激发的可能的稳定机制。此外，我们还观察到，在与圆大小相当的时间尺度上，大型闪球体的坍缩模拟了实线上的扭结-反扭结散射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

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.