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The thermodynamic limit for a crystal

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Abstract

Consider a crystal with nucleii fixed at the lattice points in Ω⊂ℝ3, interacting by Coulomb forces with quantized electrons in Ω. We prove that the pressure tends to a limit as Ω grows infinitely large.

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Reference

  1. Lebowitz, J., Lieb, E.: The Constitution of Matter: Existence of thermodynamics for systems composed of electrons and nucleii, Adv. Math.9, 316–398 (1972)

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, Princeton, New Jersey, USA

    C. Fefferman

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  1. C. Fefferman
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Communicated by B. Simon

Supported by NSF Grant No. MCS80-03072

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Fefferman, C. The thermodynamic limit for a crystal. Commun.Math. Phys. 98, 289–311 (1985). https://doi.org/10.1007/BF01205785

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  • DOI: https://doi.org/10.1007/BF01205785

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