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Wigner crystallization and its relation to the poor decay of pair correlations in one-component plasmas of arbitrary dimension

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Abstract

We study various consequences of crystalline ordering in one-component (ordinary and surface) plasmas of arbitrary dimension, especially its relation to the poor decay of the pair correlation function. We considerably improve and presumably optimize the various known bounds on its decay at infinity and scrutinize the usual arguments claiming absence of crystallization in two-dimensional plasmas.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Göttingen, 34 Göttingen, Federal Republic of Germany

    M. Requardt

  2. Fachbereich 6-Theoretische Physik, Universität Paderborn, 4790 Paderborn, Federal Republic of Germany

    H. J. Wagner

Authors
  1. M. Requardt
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  2. H. J. Wagner
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Requardt, M., Wagner, H.J. Wigner crystallization and its relation to the poor decay of pair correlations in one-component plasmas of arbitrary dimension. J Stat Phys 58, 1165–1180 (1990). https://doi.org/10.1007/BF01026570

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  • DOI: https://doi.org/10.1007/BF01026570

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