Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model

Hryniv, Ostap; Kotecký, Roman

Abstract

We prove existence of the surface tension in the low temperature 2D Blume Capel model and verify the Ornstein-Zernike asymptotics of the corresponding finite-volume interface partition function.

Citation

Hryniv, O., & Kotecký, R. (2002). Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model. Journal of Statistical Physics, 106(3-4), 431-476. https://doi.org/10.1023/a%3A1013797920029

• Journal Article Type: Article
• Publication Date: Feb 1, 2002
• Deposit Date: Feb 29, 2008
• Journal: Journal of Statistical Physics
• Print ISSN: 0022-4715
• Electronic ISSN: 1572-9613
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 106
• Issue: 3-4
• Pages: 431-476
• DOI: https://doi.org/10.1023/a%3A1013797920029
• Keywords: Lattice systems, Interface, Blume-Capel model.
• Public URL: https://durham-repository.worktribe.com/output/1560628