English

Vertically extended Frenkel-Kontorova model: a real space renormalization group study

Materials Science 2009-11-11 v2

Abstract

A modification of the Frenkel-Kontorova model is presented in which particles are allowed to move in the vertical direction. This model is used to study the formation of islands for a monolayer of 1D interfaces and the corresponding roughness transition. Both analytical and numerical approaches are employed, and the numerical algorithm is based upon real space renormalization group techniques.

Keywords

Cite

@article{arxiv.cond-mat/0502178,
  title  = {Vertically extended Frenkel-Kontorova model: a real space renormalization group study},
  author = {Javier Rodriguez-Laguna and Silvia N. Santalla},
  journal= {arXiv preprint arXiv:cond-mat/0502178},
  year   = {2009}
}

Comments

8 pages, 13 figures, RevTeX. Accepted for publication in Phys. Rev. B

R2 v1 2026-07-22T11:13:32.139Z