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

P. Vieillefosse

Physica A: Statistical Mechanics and its Applications, 1987, vol. 141, issue 1, 111-124

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.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:141:y:1987:i:1:p:111-124

DOI: 10.1016/0378-4371(87)90264-0

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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