Equivalences of the large deviation principle for Gibbs measures and critical balance in the Ising model |
| |
| Authors: | Priscilla E. Greenwood Jiaming Sun |
| |
| Affiliation: | (1) Department of Mathematics, University of British Columbia, V6T 1Z2 Vancouver, British Columbia, Canada |
| |
| Abstract: | In this paper we obtain the equivalence of the large deviation principle for Gibbs measures with and without an external field. For the Ising model, the equivalence allows us to study the result of competing influences of a positive external fieldh and a negative boundary condition in the cube ( (B/h) ash 0 for variousB. We find a critical balance at a valueB0 ofB. |
| |
| Keywords: | Ising model Gibbs measures large-deviation principle |
| 本文献已被 SpringerLink 等数据库收录！ |
