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Strict Inequality for Phase Transition between Ferromagnetic and Frustrated Systems


 
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1. Title Title of document Strict Inequality for Phase Transition between Ferromagnetic and Frustrated Systems
 
2. Creator Author's name, affiliation, country Emilio De Santis; University of Roma La Sapienza; Italy
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Phase transition, Ising model, disordered systems, stochastic order
 
3. Subject Subject classification 82B26, 82B31, 82B43, 82B44, 82C20
 
4. Description Abstract We consider deterministic and disordered frustrated systems in which we can show some strict inequalities with respect to related ferromagnetic systems. A case particularly interesting is the Edwards-Anderson spin-glass model in which it is possible to determine a region of uniqueness of the Gibbs measure, which is strictly larger than the region of uniqueness for the related ferromagnetic system. We analyze also deterministic systems with $|J_b| \in [J_A, J_B]$ where $0 < J_A \leq J_B < \infty$, for which we prove strict inequality for the critical points of the related FK model. The results are obtained for the Ising models but some extensions to Potts models are possible.
 
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6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-02-07
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/79
 
10. Identifier Digital Object Identifier 10.1214/EJP.v6-79
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 6
 
12. Language English=en en
 
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