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Lack of screening in the continuous dipole systems

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Abstract

We study continuous statistical systems interacting via a regularized dipole potential in the grand canonical ensemble. In the explicitly given region of high temperature (or low density) we show that the effective potential between two parallel dipoles isnot absolutely integrable (it is, however, square integrable), which implies that the effective potential does not fall off faster than |x|−3 in some directions.

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Author notes

  1. Yong Moon Park

    Present address: Department of Mathematics, Yonsei University, Seoul, Korea

Authors and Affiliations

  1. Departments of Physics and Mathematics, Princeton University, 08544, Princeton, New Jersey, USA

    Yong Moon Park

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  1. Yong Moon Park
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Additional information

Communicated by E. Lieb

Research supported in part by NSF PHY 76-80958

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Park, Y.M. Lack of screening in the continuous dipole systems. Commun.Math. Phys. 70, 161–167 (1979). https://doi.org/10.1007/BF01982352

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  • DOI: https://doi.org/10.1007/BF01982352

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