经典点粒子的自组织循环流动
Self-organized circular flow of classical point particles
摘要:
考虑了具有库仑排斥势$r^{-1}$的最近邻相互作用圆上$N$带电粒子的牛顿动力学。还有一个外部加速力,它只在圆的一小部分上不为零。我们构造齐次解,其中所有粒子的速度近似相等,它们的密度近似均匀。本文给出了直流电流某些特性的定性数学模型,与R.费曼
英文摘要:
We consider newtonian dynamics of $N$ charged particles on the circle with nearest neigbour interaction with Coulomb repulsive potential $r^{-1}$ . Also there is an external accelerating force which is nonzero only on a small part of the circle. We construct homogeneous solutions where the velocities of all particles are approximately equal and their density is approximately uniform. This gives a qualitative mathematical model for some features of the direct electric current (DC), in agreement with a suggestion by R. Feynman.
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