Published February 3, 2006
| Version v1
Journal article
Boundary field induced first-order transition in the 2D Ising model: exact study
Creators
- 1. Institut Laue-Langevin, 6 rue Horowitz BP156 X, 38042 Grenoble Cedex (France)
- 2. Laboratoire Poncelet, 119002, Bolshoy Vlasyevskiy Pereulok 11, Moscow (Russian Federation)
Description
We present in this paper an exact study of a first-order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (Clusel and Fortin 2005 J. Phys. A: Math. Gen. 38 2849) we identify, using an asymptotic expansion in the thermodynamic limit, the line of transition that separates the regime where the interface is localized near the boundary from the one where it is propagating inside the bulk. In particular, the transition line has a strong dependence on the aspect ratio of the lattice
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/995/a6_5_001.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/995/a6_5_001.pdf;
- DOI
- 10.1088/0305-4470/39/5/001;
- PII
- S0305-4470(06)11144-0;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 5
- Journal Page Range
- p. 995-1007
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051437
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASPECT RATIO; FREE ENERGY; ISING MODEL; MAGNETIC FIELDS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CRYSTAL MODELS; DIMENSIONLESS NUMBERS; ENERGY; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES