| Numéro |
J. Physique Lett.
Volume 44, Numéro 7, avril 1983
|
|
|---|---|---|
| Page(s) | 247 - 250 | |
| DOI | https://doi.org/10.1051/jphyslet:01983004407024700 | |
J. Physique Lett. 44, 247-250 (1983)
DOI: 10.1051/jphyslet:01983004407024700
Laboratoire Léon Brillouin, CEN Saclay, 91191 Gif sur Yvette Cedex, France
0550 - Lattice theory and statistics: Ising problems.
0570F - Phase transitions: general thermodynamic aspects.
Key words
commensurate incommensurate transformations -- lattice theory and statistics -- devil's staircase universality -- one dimensional lattice gas -- commensurate incommensurate phase transition -- long distance interactions
DOI: 10.1051/jphyslet:01983004407024700
Complete devil's staircase in the one-dimensional lattice gas
S. AubryLaboratoire Léon Brillouin, CEN Saclay, 91191 Gif sur Yvette Cedex, France
Abstract
We calculate explicitly the exact form of the complete devil's staircase for the lattice gas model. Thus, we show that the behaviour at the commensurate-incommensurate phase transition essentially depends on the long distance interactions. We question the assertion of Burkov about the universality properties of the devil's staircase.
Résumé
Nous calculons explicitement la forme exacte de l'escalier du diable complet du modèle de gaz sur réseau. Nous montrons ainsi que le comportement de la transition de phase commensurable-incommensurable dépend essentiellement des interactions à longue distance. Nous mettons en question les propriétés d'universalité suggérées par Burkov.
0550 - Lattice theory and statistics: Ising problems.
0570F - Phase transitions: general thermodynamic aspects.
Key words
commensurate incommensurate transformations -- lattice theory and statistics -- devil's staircase universality -- one dimensional lattice gas -- commensurate incommensurate phase transition -- long distance interactions