Minimizers with Bounded Action for the High-Dimensional Frenkel-Kontorova Model

Abstract

In Aubry–Mather theory for monotone twist maps or for one-dimensional Frenkel–Kontorova (FK) model with nearest neighbor interactions, each global minimizer (minimal energy configuration) is naturally Birkhoff. However, this is not true for the one-dimensional FK model with non-nearest neighbor interactions or for the high-dimensional FK model. In this… (More)
DOI: 10.1142/S0218127415500984

Topics

Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.