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One-dimensional Random Field Kac's Model: Localization of the Phases

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1.	Title	Title of document	One-dimensional Random Field Kac's Model: Localization of the Phases
2.	Creator	Author's name, affiliation, country	Marzio Cassandro; Dipartimento di Fisica, universita di Roma La Sapienza, Italy
2.	Creator	Author's name, affiliation, country	Enza Orlandi; Dipartimento di Matematica, Universita di Roma Tre, Italy
2.	Creator	Author's name, affiliation, country	Pierre Picco; CPT-CNRS, UMR 6207,Luminy Marseille, France
2.	Creator	Author's name, affiliation, country	Maria Eulalia Vares; CBPF, Rio de Janeiro, Brasil
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Phase transition, random walk, random environment, Kac potential.
3.	Subject	Subject classification	60K35; 82B20; 82B43
4.	Description	Abstract	We study the typical profiles of a one dimensional random field Kac model, for values of the temperature and magnitude of the field in the region of two absolute minima for the free energy of the corresponding random field Curie Weiss model. We show that, for a set of realizations of the random field of overwhelming probability, the localization of the two phases corresponding to the previous minima is completely determined. Namely, we are able to construct random intervals tagged with a sign, where typically, with respect to the infinite volume Gibbs measure, the profile is rigid and takes, according to the sign, one of the two values corresponding to the previous minima. Moreover, we characterize the transition from one phase to the other. The analysis extends the one done by Cassandro, Orlandi and Picco in [13].
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	CNR-CNRS-Project 8.005, INFM-Roma; MURST/cofin 01-02/03-04; FAPERJ Projects E-26/150.940-99 and E-26/151.905/00; CNPq-CNR project 91.0069/00-0
7.	Date	(YYYY-MM-DD)	2005-07-14
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/263
10.	Identifier	Digital Object Identifier	10.1214/EJP.v10-263
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 10
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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