Scaling exponents at the transition by breaking of analyticity for incommensurate structures

DOI10.1016/0167-2789(91)90080-SzbMath0732.73009OpenAlexW2030417792MaRDI QIDQ808748

Robert S. MacKay

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90080-s

zbMATH Keywords

elasticityscaling lawseffective massrenormalization operatordepinning forceminimum energy statephonon gapsolid-state models

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

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Cites Work

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• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• A renormalization approach to invariant circles in area-preserving maps
• Converse KAM: theory and practice
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Locally most robust circles and boundary circles for area-preserving maps