EXACT GROUND-STATE OF THE FRENKEL-KONTOROVA MODEL WITH REPEATED PARABOLIC POTENTIAL .1. BASIC RESULTS

Authors
GRIFFITHS RB SCHELLNHUBER HJ URBSCHAT H
Citation
Rb. Griffiths et al., EXACT GROUND-STATE OF THE FRENKEL-KONTOROVA MODEL WITH REPEATED PARABOLIC POTENTIAL .1. BASIC RESULTS, Physical review. B, Condensed matter, 56(14), 1997, pp. 8623-8630
Citations number
43
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
56
Issue
14
Year of publication
1997
Pages
8623 - 8630
Database
ISI
SICI code
0163-1829(1997)56:14<8623:EGOTFM>2.0.ZU;2-4
Abstract
The problem of finding the exact energies and configurations for the F renkel-Kontorova model consisting of particles in one dimension connec ted to their nearest neighbors by springs and placed in a periodic pot ential consisting of segments from parabolas of identical (positive) c urvature but arbitrary height and spacing, is reduced to that of minim izing a certain convex function defined on a finite simplex.