2003/06/06 by Lei Yang, Yang, Lei, Peter Grassberger +1
Engineering · Materials Science · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Advanced Thermodynamics and Statistical Mechanics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Material Dynamics and Properties #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0306173
4 pages
arxiv created 2003/06/06 · openalex publication_date 2003/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, it has been claimed (O. V. Gendelman and A. V. Savin, Phys. Rev. Lett. \bf 84, 2381 (2000); A.V.Savin and O.V.Gendelman, arXiv: cond-mat/0204631 (2002)) that two nonlinear classical 1-d lattice models show transitions, at finite temperatures, where the heat conduction changes from being finite to being infinite. These are the well known Frenkel-Kontorova (FK) model and a model for coupled rotators. For the FK model we give strong theoretical arguments why such a phase transition is not to be expected. For both models we show numerically that the effects observed by Gendelman \it et al. are not true phase transitions but are rather the expected cross-overs associated to the conductivity divergence as T→ 0 and (for the FK model) T→∞.