An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel-Kontorova Model

被引：2

作者：

Quapp, Wolfgang ^{[1
]}

Bofill, Josep Maria ^{[2
,3
]}

机构：

[1] Univ Leipzig, Math Inst, D-04009 Leipzig, Germany

[2] Univ Barcelona, Dept Quim Organ, Barcelona 08028, Spain

[3] Univ Barcelona, Inst Quim Teor & Computac, IQTCUB, Marti i Franques 1, Barcelona 08028, Spain

来源：

ELECTRONICS | 2022年 / 11卷 / 20期

关键词：

Frenkel-Kontorova model; average distance; finite chain; tensile force; twist map; INCOMMENSURATE STRUCTURES; TRANSITION; DYNAMICS; PHASE; TRAJECTORIES; ANALYTICITY; BREAKING; CHANNELS; MOBILITY; ENERGY;

D O I：

10.3390/electronics11203295

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We discuss the twist map, with a special interest in its use for the finite Frenkel-Kontorova model. We explain the meaning of the tensile force in some proposed models. We demonstrate that the application of the twist map for the finite FK model is not correct, because the procedure ignores the necessary boundary conditions.

引用

页数：11

共 66 条

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