Displacement Within Velocity Effect in Gravitational Wave Memory

Annals of Physics（2024）

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Abstract

Particles initially at rest hit by a passing sandwich gravitational wave exhibit, in general, the velocity memory effect (VM): they fly apart with constant velocity. For specific values of the wave parameters their motion can however become pure displacement (DM) as suggested by Zel'dovich and Polnarev. For such a "miraculous"value, the particle trajectory is composed of an integer number of (approximate) standing half-waves. Our statements are illustrated numerically by a Gaussian, and analytically by the P & ouml;schl-Teller profiles.

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Key words

Velocity memory effect,Displacement memory effect,P & ouml,schl-Teller profile

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【要点】：本文研究了在特定参数条件下，经过 sandwich 重力波的粒子运动从速度记忆效应转变为纯位移效应，创新点在于揭示了粒子轨迹由整数个近似驻立半波组成的特性。

【方法】：通过数值模拟（使用 Gaussian 分布）和解析分析（使用 Pöschl-Teller 分布）研究了粒子在重力波作用下的运动轨迹。

【实验】：文中通过数值模拟验证了理论预测，使用的数据集为 Gaussian 和 Pöschl-Teller 分布，结果显示在特定参数下粒子运动呈现纯位移效应。

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