A Coulomb medium is a system of N charged particles of equal charge on an interval with nearest-neighbor Coulomb interaction and constant external electric field. We show that, asymptotically as N → ∞, stable configurations have four possible phases of the particle density depending on the external field, which is assumed to be a function of N. Moreover, we find these phases explicitly.
Problems of Information Transmission – Springer Journals
Published: Apr 16, 2015
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