We consider a system of N points x 1 < ... < x N on a segment of the real line. An ideal system (crystal) is a system where all distances between neighbors are the same. Deviation from idealness is characterized by a system of finite differences ∇ i 1 = x x+1 − x i , ∇ i k+1 = ∇ i+1 k − ∇ i k , for all possible i and k. We find asymptotic estimates as N → ∞, k→∞, for a system of points minimizing the potential energy of a Coulomb system in an external field.
Problems of Information Transmission – Springer Journals
Published: Oct 17, 2012
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