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arXiv 1105.4470physics.class-phmath-phmath.MP
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辐射阻尼:一个实例研究

Radiative damping: a case study

Herbert Spohn

摘要:

我们感兴趣的是耦合到麦克斯韦自场的经典电荷在均匀外磁场B作用下的运动。这是一个物理相关的,但困难的动力学问题,其贡献范围超过一百年。具体地说,我们将研究索末菲-佩奇近似,它假设在小速度扩展的电荷分布。然后记忆方程是线性的,许多细节变得可用。我们讨论如何摩擦方程中出现的限制“小”B和对比这一结果与标准的泰勒展开导致的二阶方程的速度的电荷。

英文摘要:

We are interested in the motion of a classical charge coupled to the Maxwell self-field and subject to a uniform external magnetic field, B. This is a physically relevant, but difficult dynamical problem, to which contributions range over more than one hundred years. Specifically, we will study the Sommerfeld-Page approximation which assumes an extended charge distribution at small velocities. The memory equation is then linear and many details become available. We discuss how the friction equation arises in the limit of "small" B and contrast this result with the standard Taylor expansion resulting in a second order equation for the velocity of the charge.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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