Abstract
We consider Newtonian dynamics of N charged particles on the circle with nearest neighbour interaction with Coulomb repulsive potential r−1. Also there is an external accelerating force which is non-zero 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, in agreement with a suggestion by R. Feynman.
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