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Spontaneous breaking of rotational symmetry in the presence of defects


 
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1. Title Title of document Spontaneous breaking of rotational symmetry in the presence of defects
 
2. Creator Author's name, affiliation, country Markus Heydenreich; Universiteit Leiden; Netherlands
 
2. Creator Author's name, affiliation, country Franz Merkl; University of Munich; Germany
 
2. Creator Author's name, affiliation, country Silke W.W. Rolles; Technical University of Munich; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Spontaneous symmetry breaking, localized defects, rigidity estimate
 
3. Subject Subject classification Primary 60K35; secondary 82B20;82B21
 
4. Description Abstract We prove a strong form of spontaneous breaking of rotational symmetry for a simple model of two-dimensional crystals with random defects in thermal equilibrium at low temperature. The defects consist of isolated missing atoms.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Netherlands Organization for Scientific Research (NWO)
 
7. Date (YYYY-MM-DD) 2014-12-11
 
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/2971
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-2971
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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