Abstract
For one-dimensional systems interacting via a two-body potential, the sequence of ground states is proved to converge to an infinite lattice, for a large open class of interactions, containing in particular the Lennard-Jones potential.
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References
M. Duneau and A. Katz,Ann. Inst. H. Poincaré 37:249 (1982).
A. Katz and M. Duneau,J. Stat. Phys. 29:473 (1982).
M. Duneau and A. Katz,Comptes rendus de la R.C.P. 25, Vol. 31, (Strasbourg, 1983).
M. Duneau and A. Katz, to be published.
C. S. Garner and C. Radin,J. Stat. Phys. 20:719 (1979).
M. Golubitsky and V. Guillemin,Stable Mapping and Their Singularities (Springer, New York, 1973).
M. Bornet al, Proc. Cambridge Philos. Soc. 36:160, 173, 454, 466 (1940);37:34, 177 (1941);38:61 (1941).
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Katz, A., Duneau, M. The convergence of the one-dimensional ground states to an infinite lattice. J Stat Phys 37, 257–268 (1984). https://doi.org/10.1007/BF01012914
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DOI: https://doi.org/10.1007/BF01012914