Crystallization in a One-Dimensional Periodic Landscape

Friedrich M, Stefanelli U (2020)

Publication Type: Journal article

Publication year: 2020


Book Volume: 179

Pages Range: 485-501

Journal Issue: 2

DOI: 10.1007/s10955-020-02537-9


We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the investigation of crystalline states of ionic dimers, as well as in epitaxial growth on a crystalline substrate in presence of lattice mismatch. Depending on the commensurability of the radius of the sphere and the period of the landscape, we discuss the possible emergence of crystallized states. In particular, we prove that crystallization in arbitrarily long chains is generically not to be expected.

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Friedrich, M., & Stefanelli, U. (2020). Crystallization in a One-Dimensional Periodic Landscape. Journal of Statistical Physics, 179(2), 485-501.


Friedrich, Manuel, and Ulisse Stefanelli. "Crystallization in a One-Dimensional Periodic Landscape." Journal of Statistical Physics 179.2 (2020): 485-501.

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