| | |
| | |
Stat |
Members: 3645 Articles: 2'500'096 Articles rated: 2609
18 April 2024 |
|
| | | |
|
Article overview
| |
|
Geometric and probabilistic aspects of boson lattice models | D. Ueltschi
; | Date: |
3 Mar 2001 | Journal: | Progr. Probab. 51, 363-391, Birkhäuser (2002) | Subject: | Mathematical Physics MSC-class: 82B10, 82B20, 82B26, 82B41, 60K40 | math-ph math.MP | Abstract: | This review describes quantum systems of bosonic particles moving on a lattice. These models are relevant in statistical physics, and have natural ties with probability theory. The general setting is recalled and the main questions about phase transitions are addressed. A lattice model with Lennard-Jones potential is studied as an example of a system where first-order phase transitions occur. A major interest of bosonic systems is the possibility of displaying a Bose-Einstein condensation. This is discussed in the light of the main existing rigorous result, namely its occurrence in the hard-core boson model. Finally, we consider another approach that involves the lengths of the cycles formed by the particles in the space-time representation; Bose-Einstein condensation should be related to positive probability of infinite cycles. | Source: | arXiv, math-ph/0103002 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |