Kazinski P O, Shipulya M A
Physics Faculty, Tomsk State University, Tomsk, 634050, Russia and Institute of Monitoring of Climatic and Ecological Systems, SB RAS, Tomsk, 634055, Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):066606. doi: 10.1103/PhysRevE.83.066606. Epub 2011 Jun 22.
We present a study of planar physical solutions to the Lorentz-Dirac equation in a constant electromagnetic field. In this case, we reduced the Lorentz-Dirac equation to one second-order differential equation. We obtained the asymptotics of physical solutions to this equation at large proper times. It turns out that, in a crossed constant uniform electromagnetic field with vanishing invariants, a charged particle enters a universal regime at large times. We found that the ratios of momentum components that tend to constants are determined only by the external field. This effect is essentially due to a radiation reaction. There is no such effect for the Lorentz equation in this field.
我们给出了在恒定电磁场中洛伦兹 - 狄拉克方程的平面物理解的研究。在这种情况下，我们将洛伦兹 - 狄拉克方程简化为一个二阶微分方程。我们得到了该方程在大固有时间时物理解的渐近形式。结果表明，在不变量为零的交叉恒定均匀电磁场中，带电粒子在长时间进入一种普适状态。我们发现趋于常数的动量分量之比仅由外部场决定。这种效应本质上是由于辐射反作用。在该场中，洛伦兹方程不存在这种效应。
