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Repulsion in Low Temperature β-Ensembles

Ameur, Yacin LU (2018) In Communications in Mathematical Physics 359(3). p.1079-1089
Abstract

We prove a result on separation of particles in a two-dimensional Coulomb plasma, which holds provided that the inverse temperature (Formula presented.) satisfies (Formula presented.). For large (Formula presented.), separation is obtained at the same scale as the conjectural Abrikosov lattice optimal separation.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Communications in Mathematical Physics
volume
359
issue
3
pages
1079 - 1089
publisher
Springer
external identifiers
  • scopus:85033434530
ISSN
0010-3616
DOI
10.1007/s00220-017-3027-2
language
English
LU publication?
yes
id
66481313-ef15-4c0c-8fa0-4480359bbcec
date added to LUP
2017-11-20 08:57:10
date last changed
2022-04-09 20:17:08
@article{66481313-ef15-4c0c-8fa0-4480359bbcec,
  abstract     = {{<p>We prove a result on separation of particles in a two-dimensional Coulomb plasma, which holds provided that the inverse temperature (Formula presented.) satisfies (Formula presented.). For large (Formula presented.), separation is obtained at the same scale as the conjectural Abrikosov lattice optimal separation.</p>}},
  author       = {{Ameur, Yacin}},
  issn         = {{0010-3616}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{1079--1089}},
  publisher    = {{Springer}},
  series       = {{Communications in Mathematical Physics}},
  title        = {{Repulsion in Low Temperature β-Ensembles}},
  url          = {{http://dx.doi.org/10.1007/s00220-017-3027-2}},
  doi          = {{10.1007/s00220-017-3027-2}},
  volume       = {{359}},
  year         = {{2018}},
}