Abstract
We consider variational problems involving nonlocal free energy functionals that arise from Gibbs measures with Kac potentials and are related to the characterization of the optimal (i.e., typical) shape of an interface under given constraints on the magnetization profile.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Alberti, G. Bellettini, M. Cassandro, and E. Presutti, Surface tension in Ising systems with Kac potentials,J. Stat. Phys., to appear.
M. Cassandro, E. Orlandi, and E. Presutti, Interfaces and typical Gibbs configurations for one dimensional Kac potentials,Prob. Theory Related Fields 96:57–96 (1993).
G. Dal Maso,An Introduction to Γ-Convergence (Birkhäuser, Boston, 1993).
R. L. Dobrushin, R. Kotecky, and S. B. Shlosman,The Wulff Construction: A Global Shape for Local Interactions (American Mathematical Society, Providence, Rhode Island, 1992).
L. Modica, The gradient theory of phase transition and the minimal interface criterion,Arch. Rat. Mech. Anal. 98:123–142 (1987).
L. Modica and S. Mortola, Un esempio di Γ-convergenza,Boll. Un. Mat. Ital. B (5)14:285–294 (1977).
V. A. Rokhlin, On the fundamental ideas of measure theory,Am. Math. Soc. Transl. (1)10:1–54 (1962).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bellettini, G., Cassandro, M. & Presutti, E. Constrained minima of nonlocal free energy functionals. J Stat Phys 84, 1337–1349 (1996). https://doi.org/10.1007/BF02174133
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02174133