This article is cited in 6 scientific papers (total in 6 papers)
Fixed points for one-dimensional particle system with strong interaction
V. A. Malyshev
Faculty of Mathematics and Mechanics, Moscow State University, Moscow, Russia
We consider hamiltonian $N$ particle system on the finite segment with nearest-neighbor Coulomb interaction and external force $F$. We study the fixed points of such system and show that the distances between neighbors are asymptotically, for large $N$, the same for any $F$.
Key words and phrases:
statistical physics, hamiltonian systems, submicroscale, fixed points.
Received: December 10, 2010
V. A. Malyshev, “Fixed points for one-dimensional particle system with strong interaction”, Mosc. Math. J., 12:1 (2012), 139–147
Citation in format AMSBIB
\paper Fixed points for one-dimensional particle system with strong interaction
\jour Mosc. Math.~J.
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This publication is cited in the following articles:
V. A. Malyshev, “Analytic Dynamics of a One-Dimensional System of Particles with Strong Interaction”, Math. Notes, 92:2 (2012), 237–248
V. A. Malyshev, “Fine structure of a one-dimensional discrete point system”, Problems Inform. Transmission, 48:3 (2012), 283–296
Malyshev V.A., “Self-Organized Circular Flow of Classical Point Particles”, J. Math. Phys., 54:2 (2013), 023301
V. A. Malyshev, “Phase transitions in the one-dimensional Coulomb medium”, Problems Inform. Transmission, 51:1 (2015), 31–36
Malyshev V.A., Zamyatin A.A., “One-Dimensional Coulomb Multiparticle Systems”, Adv. Math. Phys., 2015, 857846
[Anonymous], “Coulomb Networks”, Markov Process. Relat. Fields, 24:2, SI (2018), 185–189
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