Newton trajectories for the tilted Frenkel-Kontorova model

被引：15

作者：

Quapp, W. ^{[1
]}

Bofill, J. M. ^{[2
,3
]}

机构：

[1] Univ Leipzig, Math Inst, PF 100920, D-04009 Leipzig, Germany

[2] Univ Barcelona, Seccio Quim Organ, Dept Quim Inorgan & Organ, Barcelona, Spain

[3] Univ Barcelona, Inst Quim Teor & Computac IQTCUB, Barcelona, Spain

来源：

MOLECULAR PHYSICS | 2019年 / 117卷 / 9-12期

关键词：

Frenkel-Kontorova model; tilting; newton trajectory; barrier breakdown point; twist map; POTENTIAL-ENERGY SURFACE; ONE-DIMENSIONAL SYSTEMS; GRADIENT EXTREMALS; TRANSITION-STATES; DYNAMICS; FRICTION; LOCKING; SADDLE; KINKS; PATH;

D O I：

10.1080/00268976.2019.1576930

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Newton trajectories are used for the Frenkel-Kontorova model of a finite chain with free-end boundary conditions. We optimise stationary structures, as well as barrier breakdown points for a critical tilting force were depinning of the chain happens. These special points can be obtained straight forwardly by the tool of Newton trajectories. We explain the theory and add examples for a finite-length chain of a fixed number of 2,3,4,5 and 23 particles. [GRAPHICS] .

引用

页码：1541 / 1558

页数：18

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