The Library
A path-integral analysis of interacting Bose gases and loop gases
Tools
Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin and Sohinger, Vedran (2020) A path-integral analysis of interacting Bose gases and loop gases. Journal of Statistical Physics, 180 . pp. 810-831. doi:10.1007/s10955-020-02543-x ISSN 0022-4715.
|
PDF
WRAP-path-integral-analysis-interacting-Bose-gases-loop-gases-Sohinger-2020.pdf - Accepted Version - Requires a PDF viewer. Download (1020Kb) | Preview |
Official URL: https://doi.org/10.1007/s10955-020-02543-x
Abstract
We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs measures of classical field theories with quartic Hartree-type self-interaction, and to the Gibbs states of classical gases of point particles. We discuss various open problems and conjectures concerning, e.g., Bose–Einstein condensation, polymers and |ϕϕ|4-theory.
Item Type: | Journal Article | ||||||||
---|---|---|---|---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Journal of Statistical Physics | ||||||||
Publisher: | Springer New York LLC | ||||||||
ISSN: | 0022-4715 | ||||||||
Official Date: | September 2020 | ||||||||
Dates: |
|
||||||||
Volume: | 180 | ||||||||
Page Range: | pp. 810-831 | ||||||||
DOI: | 10.1007/s10955-020-02543-x | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in Journal of Statistical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s10955-020-02543-x | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 27 April 2020 | ||||||||
Date of first compliant Open Access: | 27 April 2020 | ||||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year