Frenkel-Kontorova model with toda interactions | Zendy

Bin Lin | Zendy; Bambi Hu | Zendy

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Frenkel-Kontorova model with toda interactions

Author(s) -

Bin Lin,

Bambi Hu

Publication year - 1992

Publication title -

journal of statistical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.71

H-Index - 115

eISSN - 1572-9613

pISSN - 0022-4715

DOI - 10.1007/bf01058761

Subject(s) - singularity , nonlinear system , exponential function , physics , reflection symmetry , symmetry (geometry) , spectrum (functional analysis) , phase diagram , dimension (graph theory) , mathematical physics , statistical physics , quantum mechanics , mathematics , mathematical analysis , phase (matter) , pure mathematics , geometry

We have studied the Frenkel-Kontorova (FK) model with Toda interactions. The phase diagram is found to be asymmetric due to the exponential form of the Toda interaction. The reflection symmetry observed in the standard FK model is broken here. The singularity spectrum and the generalized dimension are calculated and their dependence on the nonlinearity parameter is discussed. The critical exponents of the gap in the phonon spectrum, the correlation length, and the Peierls-Nabarro barrier are found to be the same as those in the standard FK model and are independent of the nonlinearity parameter. © 1992 Plenum Publishing Corporation.link_to_subscribed_fulltex

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