Numéro
J. Physique Lett.
Volume 44, Numéro 5, mars 1983
Page(s) 179 - 182
DOI https://doi.org/10.1051/jphyslet:01983004405017900
J. Physique Lett. 44, 179-182 (1983)
DOI: 10.1051/jphyslet:01983004405017900

One-dimensional lattice gas and the universality of the Devil's staircase

S.E. Burkov

Landau Institute for Theoretical Physics, 117940 Vorobjevskoe shosse 2, Moscow, USSR


Abstract
The discrete chain of adsorbed atoms at zero temperature is studied. The structure of the incommensurate phases is investigated. The universal behaviour near a commensurate-incommensurate phase transition is obtained from number theory.


Résumé
On discute une chaîne discrète d'atomes adsorbés à température nulle. On étudie la structure de la phase incommensurable. Le comportement universel au voisinage de la transition commensurable-incommensurable est tiré de la théorie des nombres.

PACS
0550 - Lattice theory and statistics: Ising problems.
0570F - Phase transitions: general thermodynamic aspects.
6845B - Sorption equilibrium at solid fluid interfaces.

Key words
adsorbed layers -- commensurate incommensurate transformations -- lattice theory and statistics -- one dimensional lattice gas -- Devil's staircase -- discrete chain -- adsorbed atoms -- incommensurate phases -- commensurate incommensurate phase transition -- number theory