Effective discommensurations in the incommensurate ground states of the extended Frenkel-Kontorowa models

DOI10.1016/0167-2789(91)90043-9zbMath0716.34050OpenAlexW2017152727MaRDI QIDQ752950

Pascal Quemerais, Gilles Abramovici, Jean- Luc Raimbault, Jean-Pierre Gosso, Serge Aubry

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)90043-9

zbMATH Keywords

multidimensional Frenkel-Kontorowa model

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items

The one to two-hole transition for cantori, The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics, ``Critical phonons of the supercritical Frenkel-Kontorova model: renormalization bifurcation diagrams, Existence and multiplicity of wave trains in 2D lattices, Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models, Chaotic polaronic and bipolaronic states in the adiabatic Holstein model, Discommensuration theory and shadowing in Frenkel-Kontorova models, Standing wave instabilities in a chain of nonlinear coupled oscillators, Chaotic trajectories in the standard map. The concept of anti- integrability

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