在外部潜在的作用下非线性迪拉克单子的稳定性
David Mellado-Alcedo1,2, Niurka R Quintero3
1Instituto Carlos I de Física Teórica y Computacional and Departamento de Física Atómica, Molecular y Nuclear, Facultad de Ciencias, Universidad de Granada, Av. Fuente Nueva s/n, 18071 Granada, Spain.
Chaos (Woodbury, N.Y.)
|January 25, 2024
概括
数字模拟显示,Gross-Neveu单子是稳定的,除了在电位中的低频单子. 吸收边界条件可以消除不稳定性,验证单子动态的集体坐标模型.
科学领域:
- 理论物理 理论物理
- 计算物理 计算物理
- 索利顿动力学是什么意思
背景情况:
- 格罗斯-内方程描述了具有自发性合对称性破坏的相对论系统.
- 数字模拟对于理解外部潜力下的复杂单子动态至关重要.
- 之前的研究报告了这种系统的不稳定性,需要进一步调查.
研究的目的:
- 为了研究与线性和电位的Gross-Neveu方程模拟中的不稳定性.
- 在各种条件下分析单子的稳定性.
- 用数值数据验证单子动态的理论模型.
主要方法:
- 使用Lakoba算法直接进行数值模拟,基于特征方法.
- 在模拟过程中分析能量和电荷保存.
- 使用带有集体坐标 (位置和动量) 的Ansatz来建模单子动态.
- 研究吸收边界条件的影响.
主要成果:
- 在表现出不稳定的模拟中确定了能量和电荷的非保存.
- 发现大多数单子在数值上是稳定的,除了低频单子在长时间的和潜力之外.
- 证明使用吸收边界条件可以减轻不稳定性.
- 模拟动态和两个集体协调的Ansatz.之间确认了协议.
结论:
- 在Gross-Neveu模型中,单子稳定性对潜在类型和单子频率敏感.
- 吸收边界条件有效地消除了数值的不稳定性.
- 集体坐标方法准确地描述了单子质量中心动态.
- 在外部潜力下,Alexeeva-Barashenkov-Saxena模型中报告的不稳定性被证明是虚假的.
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