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THE CLASSICAL STATISTICAL-MECHANICS OF FRENKEL-KONTOROVA MODELS
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UNSPECIFIED (1995) THE CLASSICAL STATISTICAL-MECHANICS OF FRENKEL-KONTOROVA MODELS. JOURNAL OF STATISTICAL PHYSICS, 80 (1-2). pp. 45-67. ISSN 0022-4715.
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Abstract
The scaling properties of the free energy, specific heat, and mean spacing are calculated for classical Frenkel-Kontorova models at low temperature, in three regimes: near the integrable limit, the anti-integrable limit, and the sliding-pinned transition (''transition by breaking of analyticity''). In particular, the renormalization scheme given in previous work for ground states of Frenkel-Kontorova models is extended to nonzero-temperature Gibbs states, and the hierarchical melting phenomenon of Vallet, Schilling, and Aubry is put on a rigorous footing.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | JOURNAL OF STATISTICAL PHYSICS | ||||
Publisher: | PLENUM PUBL CORP | ||||
ISSN: | 0022-4715 | ||||
Official Date: | July 1995 | ||||
Dates: |
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Volume: | 80 | ||||
Number: | 1-2 | ||||
Number of Pages: | 23 | ||||
Page Range: | pp. 45-67 | ||||
Publication Status: | Published |
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