| bibtype |
J -
Journal Article
|
| ARLID |
0429507 |
| utime |
20240103204403.7 |
| mtime |
20140819235959.9 |
| WOS |
000339156800013 |
| SCOPUS |
84903891784 |
| DOI |
10.1007/s00220-014-2005-1 |
| title
(primary) (eng) |
Entropy-driven phase transition in low-temperature antiferromagnetic Potts models |
| specification |
| page_count |
56 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256431 |
| ISSN |
0010-3616 |
| title
|
Communications in Mathematical Physics |
| volume_id |
330 |
| volume |
3 (2014) |
| page_num |
1339-1394 |
| publisher |
|
|
| keyword |
Antiferromagnetic Potts model |
| keyword |
proper coloring |
| keyword |
plane quadrangulation |
| keyword |
phase transition |
| keyword |
diced lattice |
| author
(primary) |
| ARLID |
cav_un_auth*0291434 |
| name1 |
Kotecký |
| name2 |
R. |
| country |
CZ |
| share |
34 |
|
| author
|
| ARLID |
cav_un_auth*0305398 |
| name1 |
Sokal |
| name2 |
A.D. |
| country |
US |
| share |
33 |
|
| author
|
| ARLID |
cav_un_auth*0217893 |
| name1 |
Swart |
| name2 |
Jan M. |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| institution |
UTIA-B |
| full_dept |
Department of Stochastic Informatics |
| share |
33 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GA201/09/1931 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0254026 |
|
| project |
| project_id |
GAP201/12/2613 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0291241 |
|
| abstract
(eng) |
We prove the existence of long-range order at sufficiently low temperatures, including zero temperature, for the three-state Potts antiferromagnet on a class of quasi-transitive plane quadrangulations, including the diced lattice. More precisely, we show the existence of (at least) three infinite-volume Gibbs measures, which exhibit spontaneous magnetization in the sense that vertices in one sublattice have a higher probability to be in one state than in either of the other two states. For the special case of the diced lattice, we give a good rigorous lower bound on this probability, based on computer-assisted calculations that are not available for the other lattices. |
| reportyear |
2015 |
| RIV |
BA |
| num_of_auth |
3 |
| mrcbC52 |
4 A 4a 20231122140318.4 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0235499 |
| cooperation |
| ARLID |
cav_un_auth*0304565 |
| name |
University of Warwick |
| country |
GB |
|
| cooperation |
| ARLID |
cav_un_auth*0304566 |
| institution |
CTS |
| name |
Center for Theoretical Study, Charles University |
| country |
CZ |
|
| cooperation |
| ARLID |
cav_un_auth*0298189 |
| name |
New York University |
| country |
US |
|
| confidential |
S |
| mrcbT16-e |
PHYSICSMATHEMATICAL |
| mrcbT16-j |
2.007 |
| mrcbT16-s |
1.587 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
97.834 |
| mrcbT16-C |
87.963 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2014 |
| mrcbTft |
\nSoubory v repozitáři: swart-0429507.pdf |
| mrcbU14 |
84903891784 SCOPUS |
| mrcbU34 |
000339156800013 WOS |
| mrcbU63 |
cav_un_epca*0256431 Communications in Mathematical Physics 0010-3616 1432-0916 Roč. 330 č. 3 2014 1339 1394 Springer |
|