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The infinite-volume ground state of the Lennard-Jones potential

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Abstract

We consider a finite chain of particles in one dimension, interacting through the Lennard-Jones potential. We prove the ground state is unique, and approaches uniform spacing in the infinite-particle limit.

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Reference

  1. G. E. Uhlenbeck, Summarizing remarks, inStatistical Mechanics; Foundations and Applications, T. A. Bak, ed. (Benjamin, New York, 1967).

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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, Texas

    Clifford S. Gardner & Charles Radin

Authors
  1. Clifford S. Gardner
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  2. Charles Radin
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Research supported in part by NSF grant MCS 78-01520.

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Gardner, C.S., Radin, C. The infinite-volume ground state of the Lennard-Jones potential. J Stat Phys 20, 719–724 (1979). https://doi.org/10.1007/BF01009521

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  • DOI: https://doi.org/10.1007/BF01009521

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