Phase transitions in one-dimensional static Coulomb media
classification
🧮 math-ph
math.CAmath.MP
keywords
coulombdifferentexternalforceasymptoticchargedconfigurationconfigurations
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We consider configurations of $N$ charged particles on the interval with nearest neighbour Coulomb interaction and constant external force. For different values of external force we find 4 different phases of the asymptotic particle density for the configuration corresponding to the minimum of the energy.
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