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Long-range order in a hard disk model in statistical mechanics


 
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1. Title Title of document Long-range order in a hard disk model in statistical mechanics
 
2. Creator Author's name, affiliation, country Alexisz Tamás Gaál; University of Munich; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) spontaneous symmetry breaking; hard-core potential; rigidity estimate
 
3. Subject Subject classification 60K35; 82B20; 82B21
 
4. Description Abstract

We model two-dimensional crystals by a configuration space in which every admissible configuration is a hard disk configuration and a perturbed version of some triangular lattice with side length one. In this model we show that, under the uniform distribution, expected configurations in a given box are arbitrarily close to some triangular lattice whenever the particle density is chosen sufficiently high. This choice can be made independent of the box size.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) DAAD (German Academic Exchange Service)
 
7. Date (YYYY-MM-DD) 2014-02-16
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/3047
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3047
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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