Abstract
We consider a two-body potential which has only periodic ground states and prove that it can be perturbed, by an arbitrarily small perturbation, so as to have only aperiodic ground states.
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References
G. E. Uhlenbeck, Summarizing remarks, inStatistical Mechanics;Foundations and Applications, T. A. Bak, ed. (W. A. Benjamin, New York, 1967).
C. S. Gardner and C. Radin,J. Stat. Phys.,20:719 (1979).
W. J. Ventevogel,Physica 92A:343 (1978).
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Research supported in part by NSF grant MCS 78-01520-A01.
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Hamrick, G.C., Radin, C. The symmetry of ground states under perturbation. J Stat Phys 21, 601–607 (1979). https://doi.org/10.1007/BF01011171
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DOI: https://doi.org/10.1007/BF01011171