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This article is cited in 3 scientific papers (total in 3 papers)
Analytic Dynamics of a One-Dimensional System of Particles with Strong Interaction
V. A. Malyshev M. V. Lomonosov Moscow State University
Abstract:
We consider the dynamics of a system of $N$ particles on the circle with interaction of nearest neighbors, a Coulomb potential, and an analytic external force. The trajectories are real analytic functions of time. However, the series for them converge only for sufficiently small times. For zero initial velocities and a uniform initial location of particles, we prove $N$-dependent estimates on the coefficients of this series.
Keywords:
system of particles with strong interaction, Coulomb potential, electric current, analytic external force.
Received: 15.07.2011 Revised: 08.12.2011
Citation:
V. A. Malyshev, “Analytic Dynamics of a One-Dimensional System of Particles with Strong Interaction”, Mat. Zametki, 92:2 (2012), 262–275; Math. Notes, 92:2 (2012), 237–248
Linking options:
https://www.mathnet.ru/eng/mzm9232https://doi.org/10.4213/mzm9232 https://www.mathnet.ru/eng/mzm/v92/i2/p262
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