Repulsion in Low Temperature β-Ensembles
(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.
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https://lup.lub.lu.se/record/66481313-ef15-4c0c-8fa0-4480359bbcec
- author
- Ameur, Yacin LU
- organization
- publishing date
- 2018
- 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}}, }