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Feb 2013

Volume 54, Issue 2, Articles (02xxxx)

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J. Math. Phys. 54, 021506 (2013); http://dx.doi.org/10.1063/1.4790887 (24 pages)

Gui-Qiang Chen, Vaibhav Kukreja, and Hairong Yuan
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back to top Statistical Physics

Self-organized circular flow of classical point particles

V. A. Malyshev

J. Math. Phys. 54, 023301 (2013); http://dx.doi.org/10.1063/1.4789542 (20 pages)

Online Publication Date: 1 February 2013

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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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41.20.-q Applied classical electromagnetism
05.65.+b Self-organized systems
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