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Sum rules and perfect screening conditions for the 2d one-component plasma

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  • Vieillefosse, P.

Abstract

As in the three-dimensional case, we show, from the BBGKY hierarchy and under exponential clustering assumption, that the two-dimensional one-component plasma obeys the compressibility sum rule which links the compressibility to the fourth moment of the two-point correlation function. A new sum rule, which expresses a set of three point-integrals in terms of two-point integrals, is proved. This sum is specific to the two-dimensional case.

Suggested Citation

  • Vieillefosse, P., 1987. "Sum rules and perfect screening conditions for the 2d one-component plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 111-124.
    • Handle: RePEc:eee:phsmap:v:141:y:1987:i:1:p:111-124
    DOI: 10.1016/0378-4371(87)90264-0
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