On the Wulff construction as a problem of equivalence of statistical ensembles
Miracle-Sole, Salvador ; Ruiz, Jean
HAL, hal-00707438 / Harvested from HAL
The statistical mechanics of SOS (solid-on-solid) 1-dimen\-sional models under the global constraint of having a specified area between the interface and the horizontal axis, is studied. We prove the existence of the thermodynamic limits and the equivalence of the corresponding statistical mechanics. This gives a simple alternative microscopic proof of the validity of the Wulff construction for such models.
Publié le : 1994-07-05
Classification:  SOS model,  surface tension,  Wulff construction,  [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00707438,
     author = {Miracle-Sole, Salvador and Ruiz, Jean},
     title = {On the Wulff construction as a problem of equivalence of statistical ensembles},
     journal = {HAL},
     volume = {1994},
     number = {0},
     year = {1994},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00707438}
}
Miracle-Sole, Salvador; Ruiz, Jean. On the Wulff construction as a problem of equivalence of statistical ensembles. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/hal-00707438/