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